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Mathematics Faculty: All Publications (in the database)

List most recent publications in the database.    :chronological  alphabetical  combined  bibtex listing:

Addington, Nicolas

  1. N. Addington, On two rationality conjectures for cubic fourfolds, Math. Res. Lett. (May 19, 2014) [arXiv:1405.4902]
  2. N. Addington, M. Lehn, On the symplectic eightfold associated to a Pfaffian cubic fourfold (April 22, 2014) [arXiv:1404.5657]
  3. N. Addington, W. Donovan, E. Segal, The Pfaffian-Grassmannian equivalence revisited (January 15, 2014) [arXiv:1401.3661]
  4. N. Addington, R. P. Thomas, Hodge theory and derived categories of cubic fourfolds, Duke Math. J., vol. 163 no. 10 (2014), pp. 1885-1927 [arXiv:1211.3758]
  5. N. Addington, E. Segal, E. Sharpe, D-brane probes, branched double covers, and noncommutative resolutions, Adv. Theor. Math. Phys., vol. 18 no. 6 (2014) [arXiv:1211.2446]
  6. N. Addington, The Brauer group is not a derived invariant, in Proceedings of "Brauer groups and obstruction problems: moduli spaces and arithmetic" (June 27, 2013) [arXiv:1306.6538]
  7. N. Addington, P. Aspinwall, Categories of massless D-branes and del Pezzo surfaces, J. High Energy Phys., vol. 2013 no. 7 (2013), pp. front matter + 39pp. [arXiv:1305.5767]
  8. N. Addington, New derived symmetries of some hyperkaehler varieties (December 2, 2011) [arXiv:1112.0487]
  9. N. Addington, Spinor sheaves on singular quadrics, Proc. Amer. Math. Soc., vol. 139 no. 11 (November, 2011), pp. 3867-3879 [0904.1766], [available here]
  10. N. Addington, The derived category of the complete intersection of four quadrics (April 11, 2009) [arXiv:0904.1764]

Agarwal, Pankaj K

  1. P.K. Agarwal,, Reporting all intersecting pairs of polytopes in two and three dimensions (2004)  [abs]
  2. E. Flato, D. Halperin and P.K. Agarwal, Polygon decomposition for efficient construction of Minkowski sums, Computational Geometry: Theory and Applications, vol. 21 (2002), pp. 21-38
  3. P.K. Agarwal, Translating a planar object to maximize point containment, in T. Hagerup, R. Ray, M. Sharir, and M. Smid (2002) (submitted for publication.)
  4. P.K. Agarwal, B. Bhattacharya, and S. Sen, Output-sensitive algorithms for uniform partitions of points, in Algorithmica, in press (2002)
  5. P.K. Agarwal and C. M. Procopiuc, Exact and approximation algorithms for clustering, to appear in Algorithmica (2002)
  6. P.K. Agarwal, S. Har-Peled, and M. Karia, Computing approximate shortest paths on convex polytopes (2002), to appear in Algorithmica
  7. P.K. Agarwal, T. Biedl, S. Lazard, S. Robbins, S. Suri, and S. Whitesides, Curvature-constrained shortest paths in a convex polygon, to appear in SIAM Journal on Computing (2002)
  8. P.K. Agarwal (invited) with L. Arge and J. Erickson, Indexing moving points, to appear in Journal of Computer and Systems Sciences (2002)
  9. P.K. Agarwal and M. Sharir, On the numbers of congruent simplices in a point set, to appear in Discrete and Computational Geometry (2002)
  10. P.K. Agarwal, M. de Berg, J. Gudmundsson, and M. Hammar, and H. J. Haverkort, Box-trees and R-trees with near-optimal query time, to appear in Discrete and Computational Geometry (2002)
  11. P.K. Agarwal (invited) with J. Basch, L.J. Guibas, J. Hershberger, and L. Zhang, Deformable free space tiling for kinetic collision detection, submitted to International Journal of Robotics (2002)
  12. P.K. Agarwal and C. M. Procopiuc, Approximation algorithms for projective clustering, submitted to Journal of Algorithms (2002)
  13. P.K. Agarwal, C. M. Procopiuc, andand K. R. Varadarajan, An approximation algorithm for computing the two-line center, submitted to Computational Geometry: Theory and Applications (2002)
  14. P.K. Agarwal, M. de Berg, S. Har-Peled, M. Overmars, M. Sharir and J. Vahrenhold, Reporting all intersecting pairs of polytopes in two and three dimensions, submitted to Computational Geometry: Theory and Applications (2002)
  15. P.K. Agarwal, M. Bern, D. Eppstein, N. Amenta, P. Chew, K. Clarkson, T. Dey, D. P. Dobkin, H. Edelsbrunner, C. Grimm, L. P. Guibas, J. Harer, J. Hass, A. Hicks, C. K. Johnson, G. Lerman, D. Letscher, P. Plassmann, E. Sedgwick, J. Snoeyink, J. Weeks, C. Y, Emerging challenges in computational topology (2002) (to appear in 2002.)
  16. P.K. Agarwal, L. J. Guibas, H. Edelsbrunner, J. Erickson, M. Isard, S. Har-Peled, J. Hershberger, C. Jensen, L. Kavraki, P. Koehl, M. Lin, D. Manocha, D. Metaxas, B. Mitrich, D. Mount, S. Muthukrishnan, D. Pai, E. Sacks, J. Snoeyink, S. Suri, and O. Wolf, Algorithmic Issues in Modeling Motion (2002) (to appear in 2002.)
  17. P.K. Agarwal and M. Sharir, Pseudoline arrangements: Duality, algorithms, and applications, in Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms (2002)
  18. P.K. Agarwal, H. Edelsbrunner and Y. Wang, Computing the writhing number of a polygonal knot, in Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms (2002)
  19. P.K. Agarwal, C. M. Procopiuc, and S. Har-Peled, STAR-tree: An efficent self-adjusting index for moving points, in Fourth Workshop on Algorithms Engineering and Experiments (2002)
  20. P.K. Agarwal, C. M. Procopiuc, M. Jones, and T.M. Murali, Classifcation using projective clustering, ACM SIGMOD International Conference on Management of Data (2002)
  21. P.K. Agarwal, O. Procopiuc, L. Arge, and J. S. Vitter, Bkd-tree: A dynamic scalable kd-tree (2002) (submitted for publication.)
  22. P.K. Agarwal, S. Govindarajan, and L. Arge, CRB-tree: An eÆcient indexing scheme for range aggregate queries (2002) (submitted for publication.)
  23. P.K. Agarwal, R. Klein, C. Knauer, and M. Sharir, Computing the detour of polygonal curves (2002) (submitted for publication.)
  24. L. Guibas, J. Hershberger, E. Veach, and P.K. Agarwal, Maintaining structures for moving points, Discrete and Computational Geometry, vol. 26 (2001), pp. 253-374
  25. B. Aronov, M. Sharir, and P. K. Agarwal, Exact and approximation algorithms for minimum-width cylindrical shells, Discrete and Computational Geometry, vol. 26 (2001), pp. 307-320
  26. K. R. Varadarajan and P.K. Agarwal, Approximating shortest paths on polyhedral terrains, SIAM Journal on Computing, vol. 30 (2001), pp. 1321-1340
  27. H. Wang and P.K. Agarwal, Approximation algorithms for shortest paths with bounded curvature, SIAM Journal on Computing, vol. 30 (2001), pp. 1739-1772
  28. J. Basch, L. J. Guibas, J. Hershberger, L. Zhang and P.K. Agarwal, Deformable free space tiling for kinetic collision detection, in Algorithmic Foundations of Robotics, edited by B. Donald, K. Lynch, and D. Russ (2001), pp. 83-96, A.K. Peters, Natick, MA,
  29. S. Sen and P.K. Agarwal, Randomized algorithms for geometric optimization, in Handbook of Randomized Computation, edited by J. Pardalos, S. Rajasekaran, J. Reif, and J. Rolim (2001), pp. 151-201, Kluwar Academic Press, The Netherlands
  30. P.K. Agarwal, L. Arge and J. Vahrenhold, Time responsive indexing schemes for moving points, in Seventh Workshop on Algorithms and Data Structures (2001)
  31. P.K. Agarwal, D. Halperin, and R. Pollack, Guest editors' foreword, Discrete and Computational Geometry, vol. 25 (2001), pp. 505-506
  32. P.K. Agarwal, Guest editors' foreword, Discrete and Computational Geometry, vol. 26 (2001), pp. 185-186
  33. P.K. Agarwal and S. Har-Peled, Maintaining the approximate extent measures of moving points, in Twelfth Annual ACM-SIAM Symposium on Discrete Algorithms (2001)
  34. P.K. Agarwal, A. Collins, and J. Harer, Minimal trap design, in IEEE Conference on Robotics and Automation (2001)
  35. P.K. Agarwal, On the numbers of congruent simplices in a point set, in Seventeenth Annual Symposium on Computational Geometry (2001)
  36. P.K. Agarwal, M. de Berg, J. Gudmundsson, M. Hammar, and H. J. Haverkort, Box-trees and R-trees with near-optimal query time, in Seventeenth Annual Symposium on Computational Geometry (2001)
  37. P.K. Agarwal, L. Arge, O. Procopiuc, and J. S. Vitter, A framework for index bulk loading and dynamization, in Twenty-Eighth International Colloquium on Automata, Languages, and Programming (2001)
  38. P.K. Agarwal, M. de Berg, S. Har-Peled, M. Overmars, M. Sharir, and J. Vahrenhold, Reporting all intersecting pairs of polytopes in two and three dimensions, in Seventh Workshop on Algorithms and Data Structures (2001)
  39. P.K. Agarwal, S. Har-Peled, and Y.Wang, Occlusion culling for fast walkthrough in urban areas, in Eurographics (2001)
  40. P.K. Agarwal, M. Dietze, S. Govindarajan, and J. Clark, The extinction debt revisited: population dynamics in a continuous space model, in Ecological Society of America Annual Meeting (2001)
  41. P.K. Agarwal, B. Aronov, and M. Sharir, On the complexity of many faces in arrangements of circles, in Forty Second Annual Symposium on Foundations of Computer Science (2001)
  42. L. J. Guibas, S. Har-Peled, A. Rabinovitch, M. Sharir, and P.K. Agarwal, Computing the penetration depth of two convex polytopes in 3D, Nordic J. Computing, vol. 7 (2000), pp. 227-240
  43. B. Aronov, S. Har-Peled, M. Sharir, and P.K. Agarwal, Exact and approximation algorithms for the minimum width annuli and shells, Discrete and Computational Geometry, vol. 24 (2000), pp. 687-705
  44. M. Sharir and P.K. Agarwal, Davenport-Schinzel sequences and their geometric applications, in Handbook of Computational Geometry, edited by J.-R. Sack and J. Urrutia (2000), pp. 1-47, North-Holland, New York
  45. M. Sharir and P.K. Agarwal, Arrangements and their applications, in Handbook of Computational Geometry, edited by J.-R. Sack and J. Urrutia (2000), pp. 49-119, North-Holland, New York
  46. L. Knipping, M. van Kreveld, T. Strijk, A. Wolff and P.K. Agarwal, A simple and eÆcient algorithm for high quality line labeling, in Innovations in GIS VII: GeoComputation, edited by P. M. Atkinson and D. Martin (2000), pp. 147-159, Taylor and Francis, London
  47. M. Sharir and P.K. Agarwal, Pipes, cigars, and kreplach: The union of Minkowski sums in three dimensions, Discrete and Computational Geometry, vol. 24 (2000), pp. 645-685
  48. J. Basch, M. de Berg, L. J. Guibas, J. Hershberger and P.K. Agarwal, Lower bounds for kinetic planar subdivisions, Discrete and Computational Geometry, vol. 24 (2000), pp. 721-733
  49. L. Arge, J. Erickson, P. G. Franciosa, J. S. Vitter and P.K. Agarwal, Efficient searching with linear constraints, Journal of Computer and Systems Sciences, vol. 61 (2000), pp. 194-216
  50. L. Guibas, T. M. Murali, J. S. Vitter and P.K. Agarwal, Cylindrical kinetic and static binary space partitions, Computational Geometry: Theory and Applications, vol. 16 (2000), pp. 103-127
  51. E. Grove, T. M. Murali, and J. S. Vitter and P.K. Agarwal, Binary space partitions for fat rectangles, SIAM Journal on Computing, vol. 29 (2000), pp. 1422-1448
  52. K. R. Varadarajan and P.K. Agarwal, Efficient algorithms for polygon simplification, Discrete and Computational Geometry, vol. 23 (2000), pp. 273-291
  53. A. Efrat, M. Sharir and P.K. Agarwal, Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications, SIAM Journal on Computing, vol. 29 (2000), pp. 912-953
  54. P.K. Agarwal and C. M. Procopiuc, Approximation algorithms for projective clustering, in Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (2000)
  55. P.K. Agarwal, B. Aronov, and M. Sharir, Exact and approximation algorithms for minimum-width cylindrical shells, in Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (2000)
  56. P.K. Agarwal and P. K. Desikan, Approximation algorithms for layered manufacturing, in Eleventh Annual ACM-SIAM Symposium on Discrete Algorithms (2000)
  57. P.K. Agarwal, J. Basch, L. J. Guibas, J. Hershberger, and L. Zhang, Deformable free space tiling for kinetic collision detection, in Fourth Workshop on Algorithmic Foundations of Robotics (2000)
  58. P.K. Agarwal, L. Arge, and J. Erickson, Indexing moving points, in Nineteenth Annual Symposium on Principles of Database Systems (2000)
  59. P.K. Agarwal, E. Flato, and D. Halperin, Polygon decomposition for efficient construction of Minkowski sums, in Eighth European Symposium on Algorithms (2000)
  60. P.K. Agarwal, L. J. Guibas, S. Har-Peled, A. Rabinovitch, and M. Sharir, Computing the penetration depth of two convex polytopes in 3D, in Seventh Scandinavian Workshop on Algorithm Theory (2000)
  61. P.K. Agarwal, S. Har-Peled, and M. Karia, Computing approximate shortest paths on convex polytopes, in Sixteenth Annual Symposium on Computational Geometry (2000)
  62. B. Aronov, M. Sharir and P.K. Agarwal, Motion planning for a convex polygon in a polygonal environment, Discrete and Computational Geometry, vol. 22 (1999), pp. 201-221
  63. B. Aronov, M. Sharir and P.K. Agarwal, Line transversals of balls and smallest enclosing cylinders in three dimensions, Discrete and Computational Geometry, vol. 21 (1999), pp. 373-388
  64. P.K. Agarwal and J. O'Rourke, Open problems presented at SCG'98, Journal of Algorithms, vol. 30 (1999), pp. 449-453
  65. P.K. Agarwal, L. Arge, G. Brodal, and J. S. Vitter, I/O-efficient dynamic point location in monotone subdivisions, in Tenth Annual ACM-SIAM Symposium on Discrete Algorithms (1999)
  66. P.K. Agarwal and S. A. Cook, Guest editors' foreword, Journal of Computer and Systems Sciences, vol. 58 (1999), pp. 259
  67. P.K. Agarwal, Guest editors' foreword, International Journal of Computational Geometry and Applications, vol. 9 (1999), pp. 325
  68. P.K. Agarwal and P. K. Desikan, Fast algorithms for surface simpli cation and other related problems, submitted to Discrete and Computational Geometry (1999) (Also appears as Technical Report CS-1999-15, Department of Computer Science, Duke University, 1999.)
  69. P.K. Agarwal and M. Sharir, Motion planning of a ball amid segments in three dimensions, in Tenth Annual ACM-SIAM Symposium on Discrete Algorithms (1999)
  70. P.K. Agarwal and K. R. Varadarajan, Approximation algorithms for bipartite and non-bipartite matching in the plane, in Tenth Annual ACM-SIAM Symposium on Discrete Algorithms (1999)
  71. P.K. Agarwal, L. Knipping, M. van Kreveld, T. Strijk, and A.Wolff, A simple and efficient algorithm for high quality line labeling, in GIS Research UK: 7th National Conference (1999) (Also appears in the Fifteenth European Workshop on Computational Geometry, 1999.)
  72. P.K. Agarwal and M. Sharir, Pipes, cigars, and kreplach: The union of Minkowski sums in three dimensions, in Fifteenth Annual Symposium on Computational Geometry (1999)
  73. P.K. Agarwal, B. Aronov, S. Har-Peled, and M. Sharir, Exact and approximation algorithms for the minimum width annuli and shells, in Fifteenth Annual Symposium on Computational Geometry (1999)
  74. P.K. Agarwal, J. Basch, M. de Berg, L. J. Guibas, and J. Hershberger, Lower bounds for kinetic planar subdivisions, in Fifteenth Annual Symposium on Computational Geometry (1999)
  75. P.K. Agarwal, B. Bhattacharya, and S. Sen, Output-sensitive algorithms for uniform partitions of points, in Tenth Annual International Symposium on Algorithms and Computation (1999)
  76. P.K. Agarwal, Robotics: The Algorithmic Perspective, edited by L. Kavraki and M. Mason (1998), A. K. Peters, Wellesley
  77. J. Erickson and P.K. Agarwal, Geometric range searching and its relatives, in Advances in Discrete and Computational Geometry, edited by B. Chazelle, J. Goodman, and R. Pollack (1998), pp. 1-56, American Mathematical Society, Providence
  78. M. Sharir and P.K. Agarwal, Efficient algorithms for geometric optimization, ACM Computing Surveys, vol. 30 (1998), pp. 412-458
  79. M. van Kreveld, S. Suri and P.K. Agarwal, Label placement by maximum independent set in rectangles, Computational Geometry: Theory and Applications, vol. 11 (1998), pp. 209-218
  80. M. Sharir, E. Welzl and P.K. Agarwal, The discrete 2-center problem, Discrete and Computational Geometry, vol. 20 (1998), pp. 287-306
  81. S. Suri and P.K. Agarwal, Surface approximation and geometric partitions, SIAM Journal on Computing, vol. 27 (1998), pp. 1016-1035
  82. M. de Berg, J. Matousek, O. Schwarzkopf and P.K. Agarwal, Constructing levels in arrangements and higher order Voronoi diagrams, SIAM Journal on Computing, vol. 27 (1998), pp. 654-667
  83. B. Aronov, T. M. Chan, M. Sharir and P.K. Agarwal, On levels in arrangements of lines, segments, planes, and triangles, Discrete and Computational Geometry, vol. 19 (1998), pp. 315-331
  84. J. Matousek, O. Schwarzkopf and P.K. Agarwal, Computing many faces in arrangements of lines and segments, SIAM Journal on Computing, vol. 27 (1998), pp. 491-505
  85. N. Amenta, M. Sharir and P.K. Agarwal, Placement of one convex polygon inside another, Discrete and Computational Geometry, vol. 19 (1998), pp. 95-104
  86. P.K. Agarwal and J. O'Rourke, Computational geometry column 34, International Journal of Computational Geometry and Applications, vol. 8 (1998), pp. 637-642 (Also appeared in SIGACT News, 29 (1998), 27- 33.)
  87. P.K. Agarwal, J. Erickson, and L. Guibas, Kinetic binary space partitions for intersecting segments and disjoint triangles, in Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (1998)
  88. P.K. Agarwal, L. Arge, T. M. Murali, K. R. Varadarajan, and J. S. Vitter, I/O-eÆcient algorithms for contour line extraction and planar graph blocking, in Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (1998)
  89. P.K. Agarwal and C. M. Procopiuc, Exact and approximation algorithms for clustering, in Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (1998)
  90. P.K. Agarwal, L. Arge, J. Erickson, P. G. Franciosa, and J. S. Vitter, Efficient searching with linear constraints, in Seventeenth Annual Symposium on Principles of Database Systems (1998)
  91. P.K. Agarwal, T. Biedl, S. Lazard, S. Robbins, S. Suri, and S. Whitesides, Curvature-constrained shortest paths in a convex polygon, in Fourteenth Annual Symposium on Computational Geometry (1998)
  92. P.K. Agarwal, T. M. Murali, and J. S. Vitter, A new algorithm for constructing binary space partitions for orthogonal rectangles, in Sixth European Symposium on Algorithms (1998)
  93. P.K. Agarwal, D. Eppstein, L. J. Guibas, and M. Henzinger, Parametric and kinetic minimum spanning trees, in Thirty Ninth Annual Symposium on Foundations of Computer Science (1998)
  94. N. Amenta, B. Aronov, M. Sharir, and P.K. Agarwal, Largest placements and motion planning of a convex polygon, in Algorithms for Robotic Motion and Manipulation, pp. 143-154, edited by J.-P. Laumond and M. Overmars (1997), A. K. Peters, Wellesley
  95. P.K. Agarwal, Range searching, in CRC Handbook of Discrete and Computational Geometry, edited by J. Goodman and J. O'Rourke (1997), pp. 575-598, CRC Press, NewYork
  96. B. Aronov, M. Sharir and P.K. Agarwal, Computing envelopes in four dimensions with applications, SIAM Journal on Computing, vol. 26 (1997), pp. 17141732
  97. B. Aronov, J. O'Rourke, C. Schevon and P.K. Agarwal, Star unfolding of a polytope with applications, SIAM Journal on Computing, vol. 26 (1997), pp. 1689-1713
  98. S. HarPeled, M. Sharir, K. R. Varadarajan and P.K. Agarwal, Approximating shortest paths on a convex polytope in three dimensions, Journal of the Association for Computing Machinery, vol. 44 (1997), pp. 567-584
  99. B. Aronov, J. Pach, R. Pollack, M. Sharir and P.K. Agarwal, Quasi-planar graphs have a linear number of edges, Combinatorica, vol. 17 (1997), pp. 1-9
  100. K. R. Varadarajan and P.K. Agarwal, Linear approximation of convex objects, Information Processing Letters, vol. 62 (1997), pp. 89-94
  101. P.K. Agarwal, B. Aronov, and M. Sharir, Line transversals of balls and smallest enclosing cylinders in three dimensions, in Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (1997)
  102. P.K. Agarwal and P. K. Desikan, Fast algorithms for surface simpli cation and other related problems, in Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (1997)
  103. P.K. Agarwal, J.-C. Latombe, R. Motwani, and P. Raghavan, Nonholonomic path planning for pushing a disk among obstacles, in IEEE Conference on Robotics and Automation (1997) (Also appears in the abstracts of the First CGC Workshop on Computational Geometry.)
  104. P.K. Agarwal, B. Aronov, and M. Sharir, On levels in arrangements of lines, segments, planes, and triangles, in Thirteenth Annual Symposium on Computational Geometry (1997)
  105. P.K. Agarwal, L. Guibas, T. M. Murali, and J. S. Vitter, Cylindrical kinetic and static binary space partitions, in Thirteenth Annual Symposium on Computational Geometry (1997)
  106. P.K. Agarwal, (short communication) with T. M. Murali and J. S. Vitter, Practical techniques for constructing binary space partitions of rectangles, in Thirteenth Annual Symposium on Computational Geometry (1997)
  107. P.K. Agarwal, M. Sharir, and E. Welzl, The discrete 2-center problem, in Thirteenth Annual Symposium on Computational Geometry (1997)
  108. P.K. Agarwal, L. Guibas, J. Hershberger, and E. Veach, Maintaining structures for moving points, in Fifth Workshop on Algorithms and Data Structures (1997)
  109. P.K. Agarwal, M. van Kreveld, and S. Suri, Label placement by maximum independent set in rectangles, in Ninth Canadian Conference on Computational Geometry (1997)
  110. P.K. Agarwal and K. R. Varadarajan, Approximating shortest paths on polyhedral terrains, in Thirty Eighth Annual Symposium on Foundations of Computer Science (1997)
  111. M. Sharir and P.K. Agarwal, Ray shooting amidst convex polygons in 2D, Journal of Algorithms, vol. 21 (1996), pp. 508-519
  112. M. Sharir and P.K. Agarwal, Efficient randomized algorithms for some geometric optimization problems, Discrete and Computational Geometry, vol. 16 (1996), pp. 317-337
  113. M. van Kreveld and P.K. Agarwal, Polygon and connected component intersection searching, Algorithmica, vol. 15 (1996), pp. 626-660
  114. S. Sen and P.K. Agarwal, Selection in monotone matrices and k^th nearest neighbors, Journal of Algorithms, vol. 20 (1996), pp. 581-601
  115. O. Schwarzkopf, M. Sharir and P.K. Agarwal, The overlay of envelopes and their applications, Discrete and Computational Geometry, vol. 15 (1996), pp. 1-13
  116. M. Sharir and P.K. Agarwal, Ray shooting among convex polytopes in 3D, SIAM Journal on Computing, vol. 25 (1996), pp. 100-116
  117. P.K. Agarwal and H. Wang, Approximation algorithms for shortest paths with bounded curvature, in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (1996)
  118. P.K. Agarwal, R. Tamassia, N. Amato, D. Chen, D. Dobkin, R. Drysdale, S. Fortune, M. Goodrich, J. Hershberger, J. O'Rourke, F. Preparata, J.-R. Sack, S. Suri, I. Tollis, J. S. Vitter, and S. Whitesides, Strategic directions in computational geometry, ACM Computing Surveys, vol. 28 (1996), pp. 591-606
  119. P.K. Agarwal and S. Suri, Simple and practical geometric algorithms, ACM Computing Surveys, vol. 28 (1996)
  120. P.K. Agarwal and S. Suri, Simple and practical geometric algorithms, ACM Computing Surveys, vol. 28 (1996)
  121. P.K. Agarwal, Range searching, Technical Report CS-1996-05, Department of Computer Science, Duke University (1996)
  122. P.K. Agarwal, M. de Berg, D. Halperin, and M. Sharir, Computing depth orders in multiple directions, in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (1996)
  123. P.K. Agarwal and H. Wang, Approximation algorithms for shortest paths with bounded curvature, in Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (1996)
  124. P.K. Agarwal, J. Cohen, A. Varshney, D. Manocha, G. Turk, F. Brooks, H. Weber, and W. Wright, Simplification envelopes, in SIGGRAPH (1996)
  125. P.K. Agarwal, N. Amenta, B. Aronov, and M. Sharir, Largest placements and motion planning of a convex polygon, in Second International Workshop on Algorithmic Foundations of Robotics (1996)
  126. P.K. Agarwal, E. Grove, T. M. Murali, and J. S. Vitter, Binary space partitions for fat rectangles, in Thirty Seventh Annual Symposium on Foundations of Computer Science (1996)
  127. M. Sharir and P.K. Agarwal, Davenport-Schinzel Sequences and Their Geometric Applications (1995), Cambridge University Press, Cambridge-New York-Melbourne
  128. J. Pach and P.K. Agarwal, Combinatorial Geometry (1995), John Wiley and Sons, New York
  129. M. Sharir and P.K. Agarwal, Algorithmic techniques for geometric optimization, in Computer Science Today: Recent Trends and Developments, Lecture Notes in Computer Science, vol. 1000; pp. 234-253, edited by J. van Leeuwen (1995), Springer-Verlag, Berlin
  130. M. Katz, M. Sharir and P.K. Agarwal, Computing depth orders and related problems, Computational Geometry: Theory and Applications, vol. 5 (1995), pp. 187-206
  131. J. Matousek and P.K. Agarwal, Dynamic half-space searching and its applications, Algorithmica, vol. 14 (1995), pp. 325-345
  132. P.K. Agarwal, F. Brooks, A. Varshney, H.Weber, and W. Wright, Multiresolution hierarchy generation of polygonal models, Technical Report CS-1995-20, Department of Computer Science, Duke University (1995)
  133. P.K. Agarwal, P. Raghavan, and H. Tamaki, Motion planning for a steering-constrained robot through moderate obstacles, in Twenty Seventh Annual ACM Symposium on Theory of Computing (1995)
  134. P.K. Agarwal, B. Aronov and S. Suri, Line stabbing bounds on triangulations in 3D, in Eleventh Annual Symposium on Computational Geometry (1995)
  135. P.K. Agarwal and M. Sharir, Efficient randomized algorithms for some geometric optimization problems, in Eleventh Annual Symposium on Computational Geometry (1995)
  136. P.K. Agarwal, O. Schwarzkopf, and M. Sharir, The overlay of envelopes and their applications, in Eleventh Annual Symposium on Computational Geometry (1995)
  137. P.K. Agarwal and K. R. Varadarajan, Linear approximation of convex objects, in Seventh Canadian Conference on Computational Geometry (1995)
  138. P.K. Agarwal, B. Aronov, J. Pach, R. Pollack, and M. Sharir, Quasi-planar graphs have a linear number of edges, in Symposium on Graph Drawing (1995)
  139. P.K. Agarwal, A. Efrat, and M. Sharir, Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications, in Eleventh Annual Symposium on Computational Geometry (1995)
  140. M. van Kreveld and P.K. Agarwal, Implicit point location in arrangement segments with application to motion planning, International Journal of Computational Geometry and Applications, vol. 4 (1994), pp. 369-383
  141. M. Sharir, S. Toledo and P.K. Agarwal, Applications of parametric searching in geometric optimization, Journal of Algorithms, vol. 17 (1994), pp. 292-318
  142. N. Alon, B. Aronov, S. Suri and P.K. Agarwal, Can visibility graphs be represented compactly?, Discrete and Computational Geometry, vol. 12 (1994), pp. 347-365
  143. P.K. Agarwal, On stabbing lines for convex polyhedra in 3D, Computational Geometry: Theory and Applications, vol. 4 (1994), pp. 177-189
  144. M. Sharir and P.K. Agarwal, On the number of views of polyhedral terrains, Discrete and Computational Geometry, vol. 12 (1994), pp. 177-182
  145. J. Matousek and P.K. Agarwal, Range searching with semialgebraic sets, Discrete and Computational Geometry, vol. 11 (1994), pp. 393-418
  146. M. Sharir and P.K. Agarwal, Planar geometric location problems, Algorithmica, vol. 11 (1994), pp. 185-195
  147. P.K. Agarwal and S. Suri, Surface approximation and disjoint geometric covers, in Fifth Annual ACM-SIAM Symposium on Discrete Algorithms (1994)
  148. P.K. Agarwal, B. Aronov and M. Sharir, Computing envelopes in four dimensions with applications, in Tenth Annual Symposium on Computational Geometry (1994)
  149. P.K. Agarwal, J. Matousek and O. Schwarzkopf, Computing many faces in arrangements of lines and segments, in Tenth Annual Symposium on Computational Geometry (1994)
  150. P.K. Agarwal, M. de Berg, J. Matousek, and O. Schwarzkopf, Constructing levels in arrangements and higher order Voronoi diagrams, in Tenth Annual Symposium on Computational Geometry (1994)
  151. P.K. Agarwal, M. Katz, and M. Sharir, Computing depth orders and related problems, in Fourth Scandinavian Workshop on Algorithm Theory (1994)
  152. P.K. Agarwal and S. Sen, Selection in monotone matrices and kth nearest neighbors, in Fourth Scandinavian Workshop on Algorithm Theory (1994)
  153. A. Efrat, M. Sharir, S. Toledo and P.K. Agarwal, Computing a segment-center for a planar point set, Journal of Algorithms, vol. 15 (1993), pp. 314-323
  154. M. van Kreveld, M. Overmars and P.K. Agarwal, Intersection queries in curved objects, Journal of Algorithms, vol. 15 (1993), pp. 229-266
  155. J. Matousek and P.K. Agarwal, Ray shooting and parametric search, SIAM Journal on Computing, vol. 22 (1993), pp. 794-806
  156. M. Pellegrini, M. Sharir and P.K. Agarwal, Counting circular arc intersections, SIAM Journal on Computing, vol. 22 (1993), pp. 778-793
  157. B. Aronov, M. Sharir, S. Suri and P.K. Agarwal, Selecting distances in the plane, Algorithmica, vol. 9 (1993), pp. 495-514
  158. M. Sharir and P.K. Agarwal, Circular visibility of a simple polygon from a fixed point, International Journal of Computational Geometry and Applications, vol. 3 (1993), pp. 1-25
  159. M. Sharir and P.K. Agarwal, Circle shooting in a simple polygon, Journal of Algorithms, vol. 14 (1993), pp. 68-87
  160. M. Sharir and P.K. Agarwal, Applications of a new space partitioning technique, Discrete and Computational Geometry, vol. 9 (1993), pp. 11-38
  161. P.K. Agarwal, M. Sharir, and S. Toledo, An efficient multidimensional searching technique and its applications, Technical Report CS-1993-20, Department of Computer Science, Duke University (1993)
  162. P.K. Agarwal and M. Sharir, Ray shooting among convex polytopes in 3D, in Fourth Annual ACM-SIAM Symposium on Discrete Algorithms (1993)
  163. P.K. Agarwal, N. Alon, B. Aronov, and S. Suri, Can visibility graphs be represented compactly?", in Ninth Annual Symposium on Computational Geometry (1993)
  164. P.K. Agarwal and M. van Kreveld, Polygon and connected component intersection searching, in Third Workshop on Algorithms and Data Structures (1993)
  165. P.K. Agarwal and M. Sharir, On the number of views of polyhedral terrains, in Fifth Canadian Conference on Computational Geometry (1993)
  166. M. T. Shing and P.K. Agarwal, Oriented aligned rectangle packing problem, European Journal of Operations Research, vol. 62 (1992), pp. 210-220
  167. J. Matousek and P.K. Agarwal, Relative neighborhood graphs in three dimensions, Computational Geometry: Theory and Applications, vol. 2 (1992), pp. 1-15
  168. M. van Kreveld, M. Overmars and P.K. Agarwal, Intersection queries in sets of discs, BIT, vol. 32 (1992), pp. 268-279
  169. P.K. Agarwal, Ray shooting and other applications of spanning trees with low stabbing number, SIAM Journal on Computing, vol. 21 (1992), pp. 540-570
  170. J. Matousek, S. Suri and P.K. Agarwal, Farthest neighbors, maximum spanning trees and related problems in higher dimensions, Computational Geometry: Theory and Applications, vol. 1 (1992), pp. 189-201
  171. B. Aronov and P.K. Agarwal, Counting facets and incidences, Discrete and Computational Geometry, vol. 7 (1992), pp. 359-369
  172. P.K. Agarwal and J. Matousek, Relative neighborhood graphs in three dimensions, in Third Annual ACM-SIAM Symposium on Discrete Algorithms (1992)
  173. P.K. Agarwal, M. Sharir, and S. Toledo, Applications of parametric searching in geometric optimization, in Third Annual ACM-SIAM Symposium on Discrete Algorithms (1992)
  174. P.K. Agarwal and J. Matousek, Ray shooting and parametric search, in Twenty Fourth Annual ACM Symposium on Theory of Computing (1992)
  175. P.K. Agarwal and J. Matousek, Range searching with semialgebraic sets, in Seventeenth Symposium on Mathematical Foundations of Computer Science (1992)
  176. P.K. Agarwal, D. Eppstein, and J. Matousek, Dynamic half-space range searching with applications to proximity problems, in Thirty Third Annual Symposium on Foundations of Computer Science (1992)
  177. P.K. Agarwal and M. van Kreveld, Implicit point location in arrangement segments with application to motion planning, in Twelfth Conference on Foundations of Software Technology and Theoretical Computer Science (1992)
  178. P. K. Agarwal, Intersection and Decomposition Algorithms for Planar Arrangements, (1991), Cambridge University Press, Cambridge-New York-Melbourne
  179. M. Sharir and P.K. Agarwal, Off-line dynamic maintenance of the width of a planar point set, Computational Geometry: Theory and Applications, vol. 1 (1991), pp. 65-78
  180. H. Edelsbrunner, O. Schwarzkopf, E. Welzl and P.K. Agarwal, Euclidean minimum spanning tree and bichromatic closest pairs, Discrete and Computational Geometry, vol. 6 (1991), pp. 407-422
  181. A. Aggarwal, B. Aronov, S. Kosaraju, B. Shieber, S. Suri and P.K. Agarwal, Computing all external-farthest neighbors for a simple polygon, Discrete Applied Mathematics, vol. 31 (1991), pp. 97-111
  182. P.K. Agarwal, Geometric partitioning and its applications, in Discrete and Computational Geometry: Papers from the DIMACS Special Year, edited by J. Goodman, R. Pollack, and W. Steiger (1991), pp. 1-37, American Mathematical Society (Providence, RI.)
  183. P.K. Agarwal and M. Sharir, Planar geometric location problems and maintaining the width of a planar set, in Second Annual ACM-SIAM Symposium on Discrete Algorithms (1991)
  184. P.K. Agarwal and M. Sharir, Counting circular arc intersections, in Seventh Annual Symposium on Computational Geometry (1991)
  185. P.K. Agarwal and M. Sharir, Applications of a new space partitioning technique, in Second Workshop on Algorithms and Data Structures (1991)
  186. P.K. Agarwal, M. van Kreveld, and M. Overmars, Storing and searching curved objects, in Seventh Annual Symposium on Computational Geometry (1991)
  187. P.K. Agarwal, J. Matousek and S. Suri, Farthest neighbors, maximum spanning trees and related problems in higher dimensions, in Second Workshop on Algorithms and Data Structures (1991)
  188. P.K. Agarwal, Partitioning arrangements of lines: II. Applications, Discrete and Computational Geometry, vol. 5 (1990), pp. 533-573
  189. P.K. Agarwal, Partitioning arrangements of lines: I. A deterministic algorithm, Discrete and Computational Geometry, vol. 5 (1990), pp. 449-483
  190. M. T. Shing and P.K. Agarwal, Algorithms for special cases of rectilinear Steiner trees: I. Points on the boundary of a rectangle, Networks, vol. 20 (1990), pp. 453-485
  191. M. Sharir and P.K. Agarwal, Red-blue intersection detection algorithms, with applications to motion planning and collision detection, SIAM Journal on Computing, vol. 19 (1990), pp. 297-322
  192. P.K. Agarwal, B. Aronov, J. O'Rourke, and C. Schevon, Star unfolding of a polytope with applications, in Second Scandinavian Workshop on Algorithm Theory (1990)
  193. P.K. Agarwal, M. van Kreveld, and M. Overmars, Intersection queries in sets of discs, in Second Scandinavian Workshop on Algorithm Theory (1990)
  194. P.K. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, Euclidean minimum spanning tree and bichromatic closest pairs, in Sixth Annual Symposium on Computational Geometry (1990)
  195. P.K. Agarwal, B. Aronov, M. Sharir, and S. Suri, Selecting distances in the plane, in Sixth Annual Symposium on Computational Geometry (1990)
  196. M. Sharir, P. Shor, and P.K. Agarwal, Sharp upper and lower bounds on the length of general Davenport-Schinzel sequences, Journal of Combinatorial Theory. Series A, vol. 52 (1989), pp. 228-274
  197. P.K. Agarwal, A. Aggarwal, B. Aronov, S. Kosaraju, B. Shieber, and S. Suri, Computing all external-farthest neighbors for a simple polygon, in First Canadian Conference on Computational Geometry (1989)
  198. P.K. Agarwal, An efficient algorithm for partitioning arrangements of lines and its applications, in Fifth Annual Symposium on Computational Geometry (1989)
  199. P.K. Agarwal, Ray shooting and other applications of spanning trees with low stabbing number, Fifth Annual Symposium on Computational Geometry (1989)
  200. P.K. Agarwal and Micha Sharir, Red-blue intersection detection algorithms, with applications to motion planning and collision detection, Fourth Annual Symposium on Computational Geometry (1988)
  201. T. Smith, D. Peuquet, and S. Menon, and P.K. Agarwal, KBGIS-II: A knowledge-based geographic information system, International Journal of Geographical Information Systems, vol. 1 (1987), pp. 149-172
  202. P.K. Agarwal and M. T. Shing, Multiterminal flows in planar networks, Technical Report TRCS86-07, Department of Computer Science, Santa Barbara (1986)
  203. P.K. Agarwal, Geometric Algorithms, Technical Report TRCS85-17, Department of Computer Science, Santa Barbara (1985)
  204. P.K. Agarwal, A. Choudhary and S. Sengupta, A VME bus compatible FFT Processor, in Conference on Signal Processing (1983) (Cochin, India.)

Allard, William K

  1. W.K. Allard, Guanglian Chen, Mauro Maggioni, W.K. Allard, G. Chen, M. Maggioni Multiscale Geometric Methods for Data Sets II: Geometric Wavelets, to appear in ACHA (2011)
  2. W.K. Allard, A boundary approximation algorithm for planar domains (2009) [pdf]
  3. W.K. Allard, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences, vol. 2 (2009) [pdf]
  4. W.K. Allard, Total variation regularization for image denoising: II. Examples., SIAM Journal on Imaging Sciences, vol. 1 (2008)
  5. W.K. Allard, Total variation regularization for image denoising: I. Geometric theory using total variation regularization; II Examples., SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (November, 2007) [~wka]  [abs]
  6. William K. Allard, The reconstruction of surfaces in R3 by reflection, The Journal of Geometric Analysis, vol. 9 no. 5 , accepted 1999 [ps]
  7. William K Allard, An Introduction to the Deferred Execution Tool, Proceedings of Ninth SIAM Annual Conference on Parallel Processing for Scientific Computing, (SIAM) March 1999
  8. William K. Allard and John Trangenstein, On the Performance of a Distributed Object Oriented Adaptive Mesh Refinement Code , preprint 1997 [ps]
  9. William K. Allard, Users Guide to the Deferred Execution Tool , preprint 1997 [ps]

Anderson, David F.

  1. David F. Anderson and Jonathan C. Mattingly, Propagation of Fluctuations in Biochemical Reaction Systems, II: Nonlinear Chains (Fall, 2006)  [abs]
  2. H. Frederik Nijhout, Michael C. Reed, David F. Anderson, Jonathan C. Mattingly, S. Jill james, and Cornelia M. Ulrich, Long-Range Allosteric Interactions between the Folate and Methionine Cycles Stabilize DNA Methylation Reaction Rate, Epigenetics, vol. 1 no. 2 (April/May 2006), pp. 81-87
  3. David F. Anderson, Jonathan C. Mattingly, H. Frederik Nijhout, Michael Reed, Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks, Bulletin of Mathematical Biology (2006) [math.PR/0510642]  [abs]

Aristotelous, Andreas

  1. Aristotelous, A. C. and Durrett, R., Fingering in Stochastic Growth Models., Experimental Mathematics (July, 2014)
  2. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source, IMA Journal of Numerical Analysis (March, 2014)
  3. A. C. Aristotelous, M. A. Haider, Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs using a Hybrid Discrete Model, Processes (March, 2014)
  4. Andreas C. Aristotelous and Richard Durrett, Chemical Evolutionary Games, Theoretical Population Biology (February, 2014)
  5. Andreas C. Aristotelous and Mansoor A. Haider, Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues., Int. J. Numer. Meth. Biomed. Engng. (February, 2014)
  6. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, A Mixed Discontinuous Galerkin, Convex Splitting Scheme for a Modified Cahn-Hilliard Equation and an Efficient Nonlinear Multigrid Solver., DCDS-B, vol. 18 no. 9 (November, 2013), pp. 2211–2238
  7. A. C. Aristotelous, Adaptive Discontinuous Galerkin Finite Element Methods for a Diffuse Interface Model of Biological Growth, PhD Thesis, The University of Tennessee, U.S.A. (August, 2011)

Arthurs, Kayne M.

  1. Kayne M. Arthurs, Leon C. Moore, Charles S. Peskin, E. Bruce Pitman and H. E. Layton, Modeling Arteriolar Flow and Mass Transport Using the Immersed Boundary Method, Journal of Computational Physics, vol. 147, (1998), pp. 402-440

Aspinwall, Paul S

  1. N. Addington and P.S. Aspinwall, Categories of Massless D-Branes and del Pezzo Surfaces, JHEP, vol. 2013 no. 176 (2013)
  2. P.S. Aspinwall, Some Applications of Commutative Algebra to String Theory, in Commutative Algebra, Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (2013)  [abs]
  3. P.S. Aspinwall and D.R. Morrison, Quivers from Matrix Factorizations, Commun Math Phys, vol. 313 (2012), pp. 607-633 [arXiv:1005.1042]  [abs]
  4. P.S. Aspinwall and M.R. Plesser, Elusive Worldsheet Instantons in Heterotic String Compactifications, in Proceedings of Symposia in Pure Mathematics, vol. 85 (2012), pp. 33-52 [1106.2998]
  5. Paul S. Aspinwall, Ilarion V. Melnikov, M. Ronen Plesser, (0,2) Elephants, Journal of High Energy Physics, vol. 1201 (2012), pp. 060 [arXiv:1008.2156]
  6. P.S. Aspinwall, A McKay-Like Correspondence for (0,2)-Deformations, Advances in Theoretical and Mathematical Physics (2011) [1110.2524]
  7. P.S. Aspinwall and M.R. Plesser, Decompactifications and Massless D-Branes in Hybrid Models, Journal of High Energy Physics, vol. 1007 (2010), pp. 078 [arXiv:0909.0252]
  8. P.S. Aspinwall, Probing Geometry with Stability Conditions (May, 2009) [arXiv:0905.3137]
  9. P.S. Aspinwall, Tom Bridgeland, Alastair Craw, Micheal Douglas, Mark Gross, Anton Kapustin, Greg Moore, Graeme Segal, Balazs Szendroi, Pelham Wilson, Dirichlet Branes and Mirror Symmetry (2009), American Mathematical Society
  10. P.S. Aspinwall, Topological D-Branes and Commutative Algebra, Communications in Number Theory and Physics, vol. 3 no. 3 (2009), pp. 445-474 [hep-th/0703279]
  11. P.S. Aspinwall, D-Branes on Toric Calabi-Yau Varieties (2008) [arXiv:0806.2612]
  12. P.S. Aspinwall, The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes, J.Math.Phys., vol. 48 (2007), pp. 082304
  13. P.S. Aspinwall Alexander Maloney and Aaron Simons, Black Hole Entropy, Marginal Stability and Mirror Symmetry, J. High Energy Phys., vol. 0707 (2007), pp. 034 [hep-th/0610033]  [abs]
  14. P.S. Aspinwall, The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes, J. Math. Phys., vol. 48 (2007), pp. 082304 [hep-th/0610209]  [abs]
  15. P.S. Aspinwall and S. Katz, Computation of Superpotentials for D-Branes, Commun. Math. Phys., vol. 264 (2006), pp. 227-253 [hep-th/0412209]
  16. P.S. Aspinwall, D-Branes, Pi-Stability and Theta-Stability, in Snowbird Lectures on String Geometry, Contemporary Mathematics, vol. 401 (2006), AMS [hep-th/0407123]
  17. P.S. Aspinwall and L. Fidkowski, Superpotentials for Quiver Gauge Theories, J. High Energy Phys., vol. 610 (2006), pp. 047 [hep-th/0506041]
  18. P.S. Aspinwall and R. Kallosh, Fixing all Moduli for M-Theory on K3xK3., J. High Energy Phys., vol. 510 (2005), pp. 001 [hep-th/0506014]
  19. P.S. Aspinwall, An Analysis of Fluxes by Duality (2005) [hep-th/0504036]
  20. Paul S. Aspinwall, Paul Horja, and Robert L. Karp, Massless D-Branes on Calabi-Yau Threefolds and Monodromy, Commun. Math. Phys., vol. 259 (2005), pp. 45-69 [hep-th/0209161]
  21. P.S. Aspinwall, D-Branes on Calabi-Yau Manifolds, in Progress in String Theory, TASI 2003 Lecture Notes (2005), World Scientific [hep-th/0403166]
  22. P.S. Aspinwall and I. Melnikov, D-Branes on Vanishing Del Pezzo Surfaces, J. High Energy Physics, vol. 12 (December, 2004), pp. 042 [hep-th/0405134]
  23. P.S. Aspinwall, The Breakdown of Topology at Small Scales, J. High Energy Physics, vol. 0407 (2004), pp. 21 [hep-th/0312188]
  24. Paul S. Aspinwall and Robert L. Karp, Solitons in Seiberg-Witten Theory and D-Branes in the Derived Category, J. High Energy Phys., vol. 04 (2003), pp. 049 [hep-th/0211121]
  25. Paul S. Aspinwall, A Point's Point of View of Stringy Geometry, J. High Energy Phys., vol. 01 (2003), pp. 002 [hep-th/0203111]
  26. P. S. Aspinwall and B. R. Greene and D. R. Morrison, The monomial-divisor mirror map, Duke Mathematical Journal, vol. 72 no. 3 (December, 1993), pp. 319 -- 337
  27. P. S. Aspinwall and B. R. Greene and D. R. Morrison, Multiple mirror manifolds and topology change in string theory, Physics Letters B, vol. 303 no. 3-4 (April, 1993), pp. 249 -- 259
  28. P. S. Aspinwall and D. R. Morrison, Topological field-theory and rational curves, Communications In Mathematical Physics, vol. 151 no. 2 (January, 1993), pp. 245 -- 262
  29. P. S. Aspinwall and C. A. Lutken, Quantum algebraic-geometry of superstring compactifications, Nuclear Physics B, vol. 355 no. 2 (May, 1991), pp. 482 -- 510
  30. P. S. Aspinwall and C. A. Lutken, Geometry of mirror manifolds, Nuclear Physics B, vol. 353 no. 2 (April, 1991), pp. 427 -- 461
  31. P. S. Aspinwall and C. A. Lutken and G. G. Ross, Construction and couplings of mirror manifolds, Physics Letters B, vol. 241 no. 3 (May, 1990), pp. 373 -- 380
  32. P. S. Aspinwall and B. R. Greene and K. H. Kirklin and P. J. Miron, Searching for 3-generation calabi-yau manifolds, Nuclear Physics B, vol. 294 no. 1 (November, 1987), pp. 193 -- 222
  33. Paul S. Aspinwall and Michael Douglas, D-Brane Stability and Monodromy, J. High Energy Phys. 05 (2002) 031 [hep-th/0110071]
  34. Paul S. Aspinwall, Compactification, Geometry and Duality: N=2, Strings, Branes and Gravity, TASI99 [hep-th/0001001]
  35. Paul S. Aspinwall and M. R. Plesser, D-Branes, Discrete Torsion and the McKay Correspondence, J. High Energy Phys. 02 (2001) 009 [hep-th/0009042]
  36. Paul S. Aspinwall and Albion Lawrence, Derived Categories and 0-Brane Stability, J. High Energy Phys. 08 (2001) 004 [hep-th/0104147]
  37. Paul S. Aspinwall, Some Navigation Rules for D-Brane Monodromy, J. Math. Phys. 42 (2001) 5534-5552 [hep-th/0102198]
  38. Paul S. Aspinwall, A Note on the Equivalence of Vafa's and Douglas's Picture of Discrete Torsion, J. High Energy Phys. 12 (2000) 029 [hep-th/0009045]
  39. Paul S. Aspinwall and M. R. Plesser, Heterotic String Corrections from the Dual Type II String, J. High Energy Phys. 04 (2000) 025 [hep-th/9910248]
  40. Paul S. Aspinwall, S. Katz, and D. R. Morrison, Lie Groups, Calabi-Yau Threefolds and F-Theory, Adv. Theor. Math. Phys 4 (2000) 95-126 [hep-th/0002012]
  41. Paul S. Aspinwall, M. Ronen Plesser, T-Duality Can Fail, J. High Energy Phys., vol. 8, (1999), pp. 001 [hep-th/9905036]
  42. Paul S Aspinwall, Aspects of the Hypermultiplet Moduli Space in String Duality, J. High Energy Phys. 04(1998) 019. [hep-th/9802194]
  43. Paul S Aspinwall, D.R. Morrison, Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves, J. High Energy Phys. 07 (1998) 012. [hep-th/9805206]
  44. Paul S Aspinwall, String Theory and Duality, Doc. Math. J. DMV Extra Volume ICM II (1998) 229-238. [math.AG/9809004]
  45. Paul S. Aspinwall and Ron Y. Donagi, The Heterotic String, the Tangent Bundle, and Derived Categories, Adv. Theor. Math. Phys., 2, (1998), pp. 1041-1074 [hep-th/9806094]
  46. Paul S Aspinwall, K3 Surfaces and String Duality, in C. Esthimiou and B. Greene, editors, "Fields, Strings and Duality, TASI 1996", pages 421-540, World Scientific, 1997. [hep-th/9611137]
  47. Paul S Aspinwall, Point-Like Instantons and the Spin(32)/Z2 Heterotic String, Nucl. Phys. B496 (1997) 149-176. [hep-th/9612108]
  48. Paul S Aspinwall, M-Theory Versus F-Theory Pictures of the Heterotic String, Adv. Theo. Math. Phys. 1 (1997) 127-147, hep-th/9707014.
  49. Paul S Aspinwall, D.R. Morrison, String Theory on K3 Surfaces, in B. Greene and S.T. Yau, editors, "Mirror Symmetry II", pages 703-716, International Press, 1996, hep-th/9404151.
  50. Paul S Aspinwall, Resolution of Orbifold Singularities in String Theory, in B. Greene and S.T. Yau, editors, "Mirror Symmetry II", pages 355-426, International Press, 1996, hep-th/9403123.
  51. Paul S Aspinwall, D.R. Morrison, Stable Singularities in String Theory, Commun.Math.Phys. 178 (1996) 115-134, hep-th/9503208, appendix by M. Gross.
  52. Paul S Aspinwall, Some Relationships Between Dualities in String Theory, in "S-Duality and Mirror Symmetry", Nucl. Phys. (Proc. Suppl.) B46, pages 30-38, North Holland, 1996, hep-th/950854.
  53. Paul S Aspinwall, An N = 2 Dual Pair and a Phase Transition, Nucl. Phys. B460 (1996) 57-76, hep-th/9510142.
  54. Paul S Aspinwall, J. Louis, On the Ubiquity of K3 Fibrations in String Duality, Phys. Lett. 369B (1996) 233-242, hep-th/9510234.
  55. Paul S Aspinwall, Enhanced Gauge Symmetries and Calabi-Yau Threefolds, Phys. Lett. B371 (1996) 231-237, hep-th/9511171.
  56. Paul S Aspinwall, M. Gross, Heterotic-Heterotic String Duality and Multiple K3 Fibrations, Phys. Lett. B382 (1996) 81-88, hep-th/9602118.
  57. Paul S Aspinwall, M. Gross, The SO(32) Heterotic String on a K3 Surface, Phys. Lett. B387 (1996) 735-742, help-th/9605131.
  58. Paul S Aspinwall, D.R. Morrison, Point-Like Instantons on K3 Orbifolds, Nucl. Phys. B503 (1997) 533-564, hep-th/9705104.
  59. Paul S Aspinwall, B.R. Greene, D.R. Morrison, Spacetime Topology Change: The Physics of Calabi-Yau Moduli Space, in M.B. Halpern et al., editors, "Strings '93", pages 241-262, World Scientific, 1995, hep-th/9311186.
  60. Paul S Aspinwall, The Moduli Space of N = 2 Superconformal Field Theories, in E. Gava et al., editors, "1994 Summer School in High Engergy Physics and Cosmology" pages 352-401, World Scientific, 1995, hep-th/9412115.
  61. Paul S Aspinwall, B.R. Greene, On the Geometric Interpretation of N = 2 Super-conformal Theories, Nucl. Phys. B437 (1995) 205-230, hep-th/9409110.
  62. Paul S Aspinwall, D.R. Morrison, U-Duality and Integral Structures, Phys. Lett. 355B (1995) 141-149, help-th/950525.
  63. Paul S Aspinwall, Enhanced Gauge Symmetries and K3 Surfaces, Phys. Lett. B357 (1995) 329-334, hep-th/9507012.
  64. Paul S Aspinwall, B.R. Greene, D.R. Morrison, Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory, Nucl.Phys. B416(1994), 414-480.
  65. Paul S Aspinwall, B.R. Greene, D.R. Morrison, Measuring Small Distances in N = 2 Sigma Models, Nucl.Phys.B420 (1994) 184-242, hep-th/93ll042.
  66. Paul S Aspinwall, D.R. Morrison, Chiral Rings Do Not Suffice: N = (2,2) Theories with Nonzero Fundamental Group, Phys. Lett. 334B (1994) 79-86.
  67. Paul S Aspinwall, Minimum Distances in Non-Trivial String Target Spaces, Nucl. Phys. B431 (1994) 78-96, hep-th/9404060.
  68. Paul S Aspinwall, B.R. Greene, D.R. Morrison, Space-Time Topology Change and Stringy Geometry, J. Math. Phys.35 (1994) 5321-5337.

Bakhtin, Yuri

  1. Bakhtin Yu.Yu. and Dinaburg E.I. and Sinai Ya.G., On solutions of the Navier-Stokes system with infinite energy and enstrophy. In memory of A.A.Bolibrukh, Uspekhi Mat. Nauk, vol. 59 no. 6 (2004), pp. in print
  2. Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of solutions to the Navier--Stokes system on plane, Uspekhi Mat. Nauk, vol. 59 no. 3 (2004)
  3. Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of Solutions to Vorticity Navier--Stokes System on $\mathbfR^2.$, Accepted for publication in Comm. Math. Phys. (2004)
  4. Bakhtin Yu.Yu. and Mattingly J.C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Accepted for publication in Commun. Contemp. Math (2004)
  5. Bakhtin Yu. Yu., Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades, Submitted to J. Stat. Phys. (2004)
  6. Bakhtin Yu.Yu., Stationary measures for stochastic Gibbsian dynamics, in Kolmogorov and contemporary mathematics. Abstracts (2003), pp. 90
  7. Bakhtin Yu.Yu., Lyapunov Exponents for Stochastic Differential Equations with Infinite Memory. Applications to Stochastic Navier-Stokes system in 2D, Submitted to Stoch.Processes App. (2003)
  8. Bakhtin, Yu. Yu., Existence and uniqueness of the stationary solution of a nonlinear stochastic differential equation with memory, Teor. Veroyatnost. i Primenen., vol. 47 no. 4 (2002), pp. 764--768
  9. Bakhtin Yu., A functional central limit theorem for parabolically rescaled random solutions of the Burgers equation., in Abstracts of XXI Seminar on Stability Problems of Stochastic Models, Eger (2001), pp. 30-31
  10. Bakhtin, Yu. Yu., A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data, Teor. Veroyatnost. i Primenen., vol. 46 no. 3 (2001), pp. 427--448
  11. Bakhtin Yu.Yu., Limit theorems for random solutions of the Burgers equation (2001)
  12. Bakhtin, Yu. Yu., The functional central limit theorem for solutions of the multidimensional Burgers equation with initial data specified by an associated random measure, Vestnik Moskov. Univ. Ser. I Mat. Mekh. no. 6 (2000), pp. 8--15, 86
  13. Bakhtin, Yu. Yu., A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data, Dokl. Akad. Nauk, vol. 372 no. 6 (2000), pp. 727--729
  14. Bakhtin, Yu. Yu. and Danilov, A. V. and Kantsel{\cprime}, A. V. and Chervonenkis, A. Ya., A method for the restoration of a field of conditional distributions from empirical data, Avtomat. i Telemekh. no. 12 (2000), pp. 75--86
  15. Bakhtin Yu.Yu., A functional central limit theorem for random solutions of the Burgers equation, Theory Probab. Appl., vol. 44 no. 3 (1999), pp. 698-699
  16. Bakhtin Yu., Asymptotic analysis of the Burgers equation with random initial data., in Eleventh European Young Statisticians Meeting,Marly-le-Roi (1999), pp. 10-14
  17. Bakhtin, Yu. Yu., The law of the iterated logarithm for solutions of the Burgers equation with random initial data, Mat. Zametki, vol. 64 no. 6 (1998), pp. 812--823
  18. Bakhtin, Yu. Yu. and Bulinski{\u\i}, A. V., Moment inequalities for sums of dependent multi-indexed random variables, Fundam. Prikl. Mat., vol. 3 no. 4 (1997), pp. 1101--1108

Bar-On, Rann

  1. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus (Accepted)  [abs]
  2. R. Bar-On, 105L-106L Coursepack, Fall 2013 and Spring 2014 (August, 2013)
  3. Rann Bar-On, Paul Bendich, Benjamin Cooke, Michael Gratton, Timothy Lucas, Michael Nicholas, Nicholas Robbins, Abraham Smith, Joseph Spivey, Graduate Calculus Curriculum Review (March, 2007) [pdf]  [abs]

Beale, J. Thomas

  1. S. Tlupova and J. T. Beale, Nearly singular integrals in 3D Stokes flow, Commun. Comput. Phys., vol. 14 (2013), pp. 1207-27 [pdf]
  2. W. Ying and J. T. Beale, A fast accurate boundary integral method for potentials on closely packed cells, Commun. Comput. Phys., vol. 14 (2013), pp. 1073-93 [pdf]
  3. A. T. Layton and J. T. Beale, A partially implicit hybrid method for computing interface motion in Stokes flow, Discrete and Continuous Dynamical Systems B, vol. 17 (2012), pp. 1139-53 [pdf]
  4. J. T. Beale, Partially implicit motion of a sharp interface in Navier-Stokes flow, J. Comput. Phys., vol. 231 (2012), pp. 6159-72 [pdf]
  5. J. T. Beale, Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM J. Numer. Anal., vol. 47 (2009), pp. 2476-95 [pdf]
  6. J. T. Beale and A. T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys. 228, 3358-67 (2009) [pdf]
  7. J. T. Beale, D. Chopp, R LeVeque, and Z. Li, Correction to the article A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources by Vaughan et al., Commun. Appl. Math. Comput. Sci., vol. 3 (2008), pp. 95-100 [pdf]
  8. J. T. Beale, A proof that a discrete delta function is second-order accurate, J. Comput. Phys., vol. 227 (2008), pp. 2195-97 [pdf]
  9. J. T. Beale and J. Strain, Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces, J. Comput. Phys., vol. 227 (2008), pp. 3896-3920 [pdf]
  10. J. T. Beale and A. T. Layton, On the accuracy of finite difference methods for elliptic problems with interfaces, Commun. Appl. Math. Comput. Sci., vol. 1 (2006), pp. 91-119 [pdf]
  11. G. R. Baker and J. T. Beale, Vortex blob methods applied to interfacial motion, J. Comput. Phys., vol. 196 (2004), pp. 233-58 [pdf]
  12. J. T. Beale, A grid-based boundary integral method for elliptic problems in three dimensions, SIAM J. Numer. Anal., vol. 42 (2004), pp. 599-620 [pdf]
  13. J. T. Beale, Methods for computing singular and nearly singular integrals, J. Turbulence, vol. 3, (2002), article 041 (4 pp.) [pdf]
  14. J. T. Beale, Discretization of Layer Potentials and Numerical Methods for Water Waves, Proc. of Workshop on Kato's Method and Principle for Evolution Equations in Mathematical Physics, H. Fujita, S. T. Kuroda, H.Okamoto, eds., Univ. of Tokyo Press, pp. 18-26.
  15. J. T. Beale, M.-C. Lai, A Method for Computing Nearly Singular Integrals, SIAM J. Numer. Anal., 38 (2001), 1902-25 [ps]
  16. J. T. Beale, A Convergent Boundary Integral Method for Three-Dimensional Water Waves, Math. Comp. 70 (2001), 977-1029 [ps]
  17. J. T. Beale, Boundary Integral Methods for Three-Dimensional Water Waves, Equadiff 99, Proceedings of the International Conference on Differential Equations, Vol. 2, pp. 1369-78 [ps]
  18. J. T. Beale, T.Y. Hou, J.S. Lowengrub, Stability of Boundary Integral Methods for Water Waves, Nonlinear Evolutionary Partial Differential Equations, X. X. Ding and T.P. Liu eds., A.M.S., 1997, 107-27.
  19. J. T. Beale, T. Y. Hou and J. S. Lowengrub, Convergence of a Boundary Integral Method for Water Waves, SIAM J. Numer. Anal. 33 (1996), 1797-1843.
  20. J. T. Beale, A. Lifschitz, W.H. Suters, The Onset of Instability in Exact Vortex Rings with Swirl, J. Comput. Phys. 129 (1996) 8-29
  21. J. T. Beale, T.Y. Hou, J.S. Lowengrub, Stability of Boundary Integral Methods for Water Waves, Advances in Multi-Fluid Flows, Y. Renardy et al., ed., pp. 241-45, SIAM, Philadelphia, 1996.
  22. J. T. Beale, A. Lifschitz, W.H. Suters, A Numerical and Analytical Study of Vortex Rings with Swirl, Vortex Flows and Related Numerical Methods, II, ESAIM Proc. 1, 565-75, Soc. Math. Appl. Indust., Paris, 1996.
  23. J. T. Beale, Analytical and Numerical Aspects of Fluid Interfaces, Proc. International Congress of Mathematicians 1994, S. Chatterji, ed., Vol. II, pp. 1055-64, Birkhauser, Basel, 1995.
  24. J. T. Beale, C. Greengard, Convergence of Euler-Stokes Splitting of the Navier-Stokes Equations, Comm. Pure Appl. Math. 47 (1994), 1083-1115.
  25. J. T. Beale, T. Y. Hou, J. S. Lowengrub, and M. Shelley, Spatial and Temporal Stability Issues for Interfacial Flows with Surface Tension, Mathl. Comput. Modeling 20 (1994), No. 10/11, 1-27
  26. A. Bourgeois, J. T. Beale, Validity of the Quasigeostrophic Model for Large Scale Flow in the Atmosphere and Ocean, SIAM J. Math. Anal. 25 (1994), 1023-68.
  27. J. T. Beale, T. Y. Hou, J. S. Lowengrub, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math. 46 (1993), 1269-1301.
  28. J. T. Beale, T. Y. Hou, J. S. Lowengrub, On the well-posedness of two-fluid interfacial flows with surface tension, Singularities in Fluids, Plasmas, and Optics, R. Caflisch et al., ed., pp. 11-38, NATO ASI Series, Kluwer, 1993.
  29. J. T. Beale, E. Thomann, C. Greengard, Operator splitting for Navier-Stokes and the Chorin-Marsden product formula, Vortex Flows and Related Numerical Methods, J. T. Beale et al., ed., pp. 27-38, NATO ASI Series, Kluwer, 1993.
  30. J. T. Beale, The approximation of weak solutions to the Euler equations by vortex elements, Multidimensional Hyperbolic Problems and Computations, J. Glimm et al., ed., pp. 23-37, Springer-Verlag, New York, 1991.
  31. J. T. Beale, Exact solitary water waves with capillary ripples at infinity, Comm. Pure Appl. Math. 44 (1991), 211-257.
  32. J. T. Beale, A. Eydeland, B. Turkington, Numerical tests of 3-D vortex methods using a vortex ring with swirl, Vortex Dynamics and Vortex Methods, C. Anderson and C. Greengard, ed., pp. 1-9, A.M.S., 1991.
  33. J. T. Beale, Solitary water waves with ripples beyond all orders, Asymptotics beyond All Orders, H. Segur et al., ed., pp. 293-98, NATO ASI Series, Plenum, 1991.
  34. J. T. Beale, Large-time behavior of model gases with a discrete set of velocities, Mathematics Applied to Science, J. Goldstein et al., ed. pp. 1-12, Academic Press, Orlando, 1988.
  35. J. T. Beale, On the accuracy of vortex methods at large times, Computational Fluid Dynamics and Reacting Gas Flows, B. Engquist et al., ed., pp. 19-32, Springer-Verlag, New York, 1988.
  36. J. T. Beale, D. Schaeffer, Nonlinear behavior of model equations which are linearly ill-posed, Comm. P. D. E. 13 (1988), 423-67.
  37. J. T. Beale, Existence, regularity, and decay of viscous surface waves, Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 2, Lectures in Applied Mathematics, Vol. 23, A.M.S., Providence, 1986, 137-48.
  38. J. T. Beale, A convergent three-dimensional vortex method with grid-free stretching, Math. Comp. 46 (1986), 401-24 and S15-S20.
  39. J. T. Beale, Large-time behavior of discrete velocity Boltzmann equations, Comm. Math. Phys. 106 (1986), 659-78.
  40. J. T. Beale, A. Majda, High order accurate vortex methods with explicit velocity kernels, J. Comp. Phys. 58 (1985), 188-208.
  41. J. T. Beale, T. Nishida, Large-time behavior of viscous surface waves, North-Holland Mathematics Studies, 128 (1985), 1-14.
  42. J. T. Beale, Large-time behavior of the Broadwell model of a discrete velocity gas, Comm. Math. Phys. 102 (1985), 217-35.
  43. J. T. Beale, Large-time regularity of viscous surface waves, Arch. Rational Mech. Anal. 84 (1984), 307-52.
  44. J. T. Beale, T. Kato, A. Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys. 94 (1984), 61-66.
  45. J. T. Beale, A. Majda, Vortex methods for fluid flow in two or three dimensions, Contemp. Math. 28 (1984), 221-29.
  46. J. T. Beale, Large-time regularity of viscous surface waves, Contemp. Math. 17 (1983), 31-33.
  47. J. T. Beale, A. Majda, Vortex methods I: Convergence in three dimensions, Math. Comp. 39 (1982), 1-27.
  48. J. T. Beale, A. Majda, Vortex methods II: Higher order accuracy in two and three dimensions, Math. Comp. 39 (1982), 29-52.
  49. J. T. Beale, A. Majda, The design and numerical analysis of vortex methods, Transonic, Shock, and Multidimensional Flows, R. E. Meyer, ed., Academic Press, New York, 1982.
  50. J. T. Beale, The initial value problem for the Navier-Stokes equations with a free surface, Comm. Pure Appl. Math. 34 (1981), 359-392.
  51. J. T. Beale, A. Majda, Rates of convergence for viscous splitting of the Navier-Stokes equations, Math. Comp. 37 (1981), 243-259.
  52. J. T. Beale, Water waves generated by a pressure disturbance on a steady stream, Duke Math. J. 47 (1980), 297-323.
  53. J. T. Beale, The existence of cnoidal water waves with surface tension, J. Differential Eqns. 31(1979), 230-263.
  54. J. T. Beale, Acoustic scattering from locally reacting surfaces, Indiana Univ. Math. J. 26 (1977), 199-222.
  55. J. T. Beale, Eigenfunction expansions for objects floating in an open sea, Comm. Pure Appl. Math. 30 (1977), 283-313.
  56. J. T. Beale, The existence of solitary water waves, Comm. Pure Appl. Math. 30 (1977), 373-389.
  57. J. T. Beale, Spectral properties of an acoustic boundary condition, Indiana Univ. Math. J. 25 (1976), 895-917.
  58. J. T. Beale, Purely imaginary scattering frequencies for exterior domains, Duke Math. J. 41 (1974), 607-637.
  59. J. T. Beale, S. I. Rosencrans, Acoustic boundary conditions, Bull. Amer. Math. Soc. 80 (1974), 1276-1278.
  60. J. T. Beale, Scattering frequencies of resonators, Comm. Pure Appl. Math. 26 (1973), 549-563.

Bendich, Paul L.

  1. Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel, Homology and Robustness of Level and Interlevel Sets, edited by Gunnar Carlsson, Homology, Homotopy, and Applications, vol. 15 no. 1 (March, 2013), pp. 51-72  [abs]
  2. Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer, Probabalistic Frechet Means and Statistics on Vineyards (2013) [6530]  [abs] [author's comments]
  3. with Sergio Cabello and Herbert Edelsbrunner, A Point Calculus for Interlevel Set Homology, Pattern Recognition Letters, vol. 33 no. 11 (August, 2012), pp. 1436-1444  [abs]
  4. with Jacob Harer and John Harer, A Persistent Homology Based Geodesic Distance Estimator (2012)
  5. with Bei Wang and Sayan Mukherjee, Local Homology Transfer and Stratification Learning, Proc. of 24th Sympos. on Discrete Algorithms (2012)
  6. with Jacob Harer, PHIsoMap: Intrinsic Distance for Dimension Reduction via Persistent Homology (2011)
  7. with Taras Galkovskiy and John Harer, Improving Homology Estimates with Random Walk, Inverse Problems, vol. 27 no. 12 (2011)
  8. with John Harer, Persistent Intersection Homology, Found. Comput. Math., vol. 11 no. 3 (2011), pp. 305-336
  9. with Herbert Edelsbrunner, Dmitrity Morozov, and Amit Patel, The Robustness of Level Sets, Proc. 18th Europ. Sympos. Algorithms, 2010, pp. 1-10 (2010)
  10. with Herbert Edelsbrunner, Michael Kerber, and Amit Patel, Persistent Homology under Non-Uniform Error, Proc. 35th Internat. Sympos. on Math. Found, of Comput, Science, 2010, pp. 12-23. (2010)
  11. with Herbert Edelsbrunner and Michael Kerber, Computing Robustness and Persistence for Images, IEEE Trans. Visual. and Comput. Graphics, 2010, pp. 1251-1260 (2010)
  12. with David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Dmitriy Morozov, Inferring Local Homology from Sampled Stratified Spaces, In Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007. (2007)
  13. with Mikhail Belkin, Yuriy Mileyko, Dmitriy Morozov, and Sayan Mukherjee, A Probabilistic Perspective on Persistence Homologies, NIPS 2007 Workshop on Topology Learning. (2007)

Berkesch, Christine

  1. C. Berkesch, D. Erman, M. Kummini, Three flavors of extremal Betti tables (2012) [5707]
  2. C. Berkesch, J. Burke, D. Erman, and C. Gibbons, The cone of Betti diagrams over a hypersurface ring of low embedding dimension, J. Pure Applied Algebra, vol. 216 (2012), pp. 2256--2268 [arXiv:1109.5198]
  3. C. Berkesch, The rank of a hypergeometric system, Compos. Math., vol. 147 no. 1 (2011), pp. 284-318 [arXiv:0807.0453]
  4. C. Berkesch, D. Erman, M. Kummini, and S. V. Sam, Shapes of free resolutions over a local ring, to appear in Math. Ann. (2011) [arXiv:1105.2244]
  5. C. Berkesch, D. Erman, M. Kummini, and S. V. Sam, Tensor complexes: Multilinear free resolutions constructed from higher tensors, J. European Mathematical Society (2011) [arXiv:1101.4604]
  6. C. Berkesch, J. Forsgård, and M. Passare, Euler--Mellin integrals and A-hypergeometric functions (2011) [arXiv:1103.6273]
  7. C. Berkesch and A. Leykin, Algorithms for Bernstein--Sato polynomials and multiplier ideals, ISSAC (2010) [arXiv:1002.1475]
  8. C. Berkesch, D. Erman, M. Kummini, and S. V. Sam, Poset structures in Boij--Söderberg theory, to appear in Int. Math. Res. Not. (2010) [arXiv:1010.2663]
  9. C. Berkesch and L. F. Matusevich, A-graded methods for monomial ideals, J. Algebra, vol. 322 (2009), pp. 2886-2904 [arXiv:0807.4306]

Berman, Peter H

  1. Peter H. Berman, Computing the Galois Group of Y' = AY + B, Y' = AY Completely Reducible, Journal of Symbolic Computation [pdf]  [abs]
  2. Peter H. Berman, M. F. Singer, Calculating the Galois Group of L_1(L_2(y))=0, L_1, L_2 Completely Reducible Operators, Journal of Pure and Applied Algebra, vol. #139 (1999), pp. 3-24 [ps]  [abs]

Bertozzi, Andrea L

  1. A. L. Bertozzi and J. B. Greer, Low-curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes, Communications On Pure And Applied Mathematics, vol. 57 no. 6 (June, 2004), pp. 764 -- 790
  2. T. P. Witelski and A. J. Bernoff and A. L. Bertozzi, Blowup and dissipation in a critical-case unstable thin film equation, European Journal Of Applied Mathematics, vol. 15 (April, 2004), pp. 223 -- 256
  3. Chad Topaz and Andrea L. Bertozzi, Swarming dynamics and pattern formation in a model for biological group motion, to appear in SIAM J. Appl. Math. (March, 2004)
  4. C. M. Topaz and A. L. Bertozzi, Swarming patterns in a two-dimensional kinematic model for biological groups, Siam Journal On Applied Mathematics, vol. 65 no. 1 (2004), pp. 152 -- 174
  5. Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi, Shock dynamics in particle-laden thin films (2004)
  6. M Kemp, A.L. Bertozzi, D. Marthaler, Multi-UUV perimeter surveillance, edited by Sebasco Estates, Maine, C., Brancart, E. An, M. Benjamin (2004) (IEEE OES Workshop on Multiple AUV Operations.)
  7. Andrea L. Bertozzi and John B. Greer, Low curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes, Comm. Pure Appl. Math., vol. 57 no. 6 (2004), pp. 764-790
  8. John B. Greer and Andrea L. Bertozzi, Traveling wave solutions of fourth order PDEs for image processing, SIAM J. Math. Anal., vol. 36 no. 1 (2004), pp. 38-68 [42737]
  9. T.P. Witelski, A. J. Bernoff, A. L. Bertozzi, Blow-up and dissipation in a critical-case unstable thin film equation, European J. Appl. Math., vol. 15 (2004), pp. 223-256
  10. Mark Bowen, Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Nonlinear dynamics of two-dimensional undercompressive shocks, Physica D (2004)
  11. Andrea Bertozzi, John Greer, Stanley Osher, and Kevin Vixie, Nonlinear regularizations of TV based PDEs for image processing, AMS Series of Contemporary Mathematics, proceedings of the 2003 Northewestern PDE conference, Gui-Qiang Chen, Joseph Jerome, and George Gasper eds. (2004)
  12. Chuang, Y.L., Oren, R., Bertozzi, A.L., Phillips, N., and Katul, G.G., "The porous media model for the hydraulic system of a tree: from sap flux data to transpiration rate", Ecological modeling (2004)
  13. J. B. Greer and A. L. Bertozzi, H-1 solutions of a class of fourth order nonlinear equations for image processing, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366
  14. A.L. Bertozzi M. Kemp, and D. Marthaler, Determining Environmental Boundaries: Asynchronous communication and physical scales, in Proceedings of the Block Island Workshop on Cooperative Control 2003, Lecture Notes in Control and Information Systems, edited by V. Kumar, N. Leonard, S. Morse (September, 2003), Springer-Verlag
  15. L. Zhornitskaya and A. L. Bertozzi, Positivity-preserving numerical schemes for lubrication-type equations, Siam Journal On Numerical Analysis, vol. 37 no. 2 (January, 2000), pp. 523 -- 555
  16. A. L. Bertozzi and A. Munch and M. Shearer, Undercompressive shocks in thin film flows, Physica D, vol. 134 no. 4 (December, 1999), pp. 431 -- 464
  17. A. Munch and A. L. Bertozzi, Rarefaction-undercompressive fronts in driven films, Physics Of Fluids, vol. 11 no. 10 (October, 1999), pp. 2812 -- 2814
  18. A. L. Bertozzi and A. Munch and X. Fanton and A. M. Cazabat, Contact line stability and "undercompressive shocks" in driven thin film flow, Physical Review Letters, vol. 81 no. 23 (December, 1998), pp. 5169 -- 5172
  19. A. J. Bernoff and A. L. Bertozzi and T. P. Witelski, Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff, Journal Of Statistical Physics, vol. 93 no. 3-4 (November, 1998), pp. 725 -- 776
  20. A. L. Bertozzi, Symmetric singularity formation in lubrication-type equations for interface motion, Siam Journal On Applied Mathematics, vol. 56 no. 3 (June, 1996), pp. 681 -- 714
  21. A. L. Bertozzi and M. Pugh, The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions, Communications On Pure And Applied Mathematics, vol. 49 no. 2 (February, 1996), pp. 85 -- 123
  22. A. L. Bertozzi, Lubrication approximations for surface tension driven interfaces: Some open problems, Zeitschrift Fur Angewandte Mathematik Und Mechanik, vol. 76 (1996), pp. 373 -- 376
  23. A. J. Bernoff and A. L. Bertozzi, Singularities in a modified kuramoto-sivashinsky equation describing interface motion for phase-transition, Physica D, vol. 85 no. 3 (August, 1995), pp. 375 -- 404
  24. A. L. Bertozzi and M. Pugh, The lubrication approximation for thin viscous films - the moving contact line with a porous-media cutoff of van-der-waals interactions, Nonlinearity, vol. 7 no. 6 (November, 1994), pp. 1535 -- 1564
  25. A. L. Bertozzi, Heteroclinic orbits and chaotic dynamics in planar fluid-flows, Siam Journal On Mathematical Analysis, vol. 19 no. 6 (November, 1988), pp. 1271 -- 1294
  26. John B. Greer and Andrea L. Bertozzi, H1 Solutions of a class of fourth order nonlinear equations for image processing, Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville, and Roger Temam, web page , vol. 1-2 no. 10 , pp. 349-366 [html]  [abs]
  27. B. A. Wagner, A. L. Bertozzi, and L. E. Howle, Positive Feedback Control of Rayleigh-Benard Convection, Discrete and Continuous Dynamical Systems Series B, 2003, special issue in honor of David Schaeffer, vol. 3 no. 4 , pp. 619-642 [html]
  28. Daniel Marthaler and Andrea L. Bertozzi, Tracking environmental level sets with autonomous vehicles, S. Butenko, R. Murphey and P.M. Pardalos (editors), ``Recent Developments in Cooperative Control and Optimization'', Kluwer Academic Publishers, 2003 [htm]
  29. B. Cook, D. Marthaler, C. Topaz, A. Bertozzi, and M. Kemp, Fractional bandwidth reacquisition algorithms for VSW-MCM, Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, 2003, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. 77-86 [available here]
  30. Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Reverse undercompressive shock structures in driven thin film flow, Phys. Rev. Lett. 90 (12) 126105, 2003 [GetabsServlet]
  31. R. Buckingham, M. Shearer, and A. L. Bertozzi, Thin film traveling waves and the Navier slip condition, SIAM J. Appl. Math.Volume 63, Number 2, pp. 722-744, 2003 [40140]
  32. Daniel Marthaler and Andrea L. Bertozzi, Collective motion algorithms for determining environmental boundaries , preprint 2002
  33. Andrea L. Bertozzi and Mark Bowen, Thin films and moving contact lines, Modern Methods in Scientific Computing and Applications, Proceedings of the Nato Adv. Study Institute, Montreal Canada, 2001, pp. 31-79.Anne Bourlioux, Martin J. Gander, and Gert Sabidussi, eds., Nato Science Series II, Vol. 75, Kluwer, Dordrecht, 2002
  34. Andrew J. Majda and Andrea L. Bertozzi, Vorticity and Incompressible Flow, Cambridge Univ. Press, 2002. [catalogue.asp]
  35. M. Bertalmio, A. L. Bertozzi, and G. Sapiro, Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting, Proceedings of the International Conference on Computer Vision and Pattern Recognition , IEEE, Dec. 2001, Kauai, HI, volume I, pp. I-355-I362. [ps]  [abs]
  36. Andrea L. Bertozzi, Guenther Gruen, and Thomas P. Witelski, Dewetting films: bifurcations and concentrations, Nonlinearity, vol 14, number 6, Nov 2001, pp 1569-1592. [accel]  [abs]
  37. Andrea Bertozzi, Andreas Munch, Michael Shearer, and Kevin Zumbrun, Stability of compressive and undercompressive thin film travelling waves, European J. of Appl. Math., 12(3), pp.253-291, 2001 [bladerunner]  [abs]
  38. Javier Diez, Lou Kondic, and Andrea Bertozzi, Global models for moving contact lines, Phys. Rev. E. 63, 011208 (January 2001) [available here]
  39. Andrea L. Bertozzi and Mary C. Pugh, Finite-time blow-up of solutions of some long-wave unstable thin film equations, Indiana Univ. Mathematics J. 49(4), pp. 1323-1366, 2000 [php]
  40. Andrea L. Bertozzi and Michael Shearer, Existence of undercompressive traveling waves in thin film equations, SIAM J. Math. Anal., vol 32, no. 1, pp. 194-213, 2000. [35089]
  41. L. Zhornitskaya and A. L. Bertozzi, Positivity Preserving Numerical Schemes for Lubrication-Type Equations, S.I.A.M. J. Num Anal., Vol. 37, No. 2, pp. 523-555, 2000. [33569]
  42. Andrea L Bertozzi, A. Munch, M. Shearer, Undercompressive Shocks in Thin Film Flow, Physica D, 134(4), 431-464, 1999. [available here]
  43. L. Kondic and A. L. Bertozzi, Nonlinear Dynamics and Transient Growth of Driven Contact Lines, Physics of Fluids, vol. 11, number 11, pages 3560-3562, 1999 [getabs]
  44. L. Kondic and A. L. Bertozzi, Thin Liquid Films: Instabilities of Driven Coating Flows On A Rough Surface, Dynamics in Small Confined Systems IV, ed. J. M. Drake, G. S. Grest, J. Klafter, and R. Kopelman, Materials Research Society Symposium Proceedings, Vol. 543, pages 213-218, 1999.
  45. A. Munch, A. L. Bertozzi, Rarefaction-Undercompressive Fonts in Driven Films, Physics of Fluids (Letters) 11(10), pp. 2812-2814, 1999 [dbt]
  46. Andrea L. Bertozzi,A. Münch and M. Shearer, Undercompressive waves in driven thin film flow: Theory, Computation, and Experiment, Proceedings of the Conference on Trends in Mathematical Physics, Knoxville, TN, Oct. 14-17, 1998. editors: V.Alexiades and G.Siopsis, AMS/IP Studies in Advanced Mathematics, Volume 13, AMS and International Press, 1999, pp. 43-68.
  47. Andrea L Bertozzi, A. Munch, X. Fanton, A.M. Cazabat, Contact Line Stability and 'Undercompressive Shocks' In Driven Thin Film Flow, Physical Review Letters, 81(23), pp. 5169-5l72. December 7, 1998 [getabs]
  48. Andrew Bernoff, Andrea L Bertozzi, Thomas Witelski, Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinch-Off, J. Stat. Phys., 93(3/4), November 1998, pp. 725-776
  49. Andrea L Bertozzi, M. Pugh, Long-Wave Instabilities and Saturation in Thin Film Equations, Comm. Pur. Appl. Math., Vol. LI, pages 625-651, 1998.
  50. Andrea L Bertozzi, The Mathematics of Moving Contact Lines in Thin Liquid Films, Notices Am. Math. Soc., 45(6), pp. 689-697, June/July 1998
  51. Andrea L Bertozzi, Michael Brenner, Linear Stability and Transient Growth in Driven Contact Lines, Physics of Fluids 9(3) March 1997, pp. 530-539. [dbt]
  52. Robert Almgren, Andrea L Bertozzi, Michael Brenner, Stable and Unstable Singularities in the Unforced Hele-Shaw Cell, Physics of Fluids 8(6), June 1996. [dbt]
  53. Andrea L Bertozzi, Lubrication Approximations for Surface Tension Driven Interfaces: Some Open Problems, Z. angew. Math. Mech. 76(1996) S2, pp. 373-376
  54. Andrea L Bertozzi, Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion, 34 pp, SIAM J. Applied Math. Vol. 56, No. 3, pp. June 1996, pp. 681-714
  55. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: Regularity and Long Time Behavior of Weak Solutions, Comm. Pure. Appl. Math., February, 49(2), 1996, pp. 85-123.
  56. A. J. Bernoff, Andrea L Bertozzi, Singularities in a Modified Kuramoto-Sivashinsky Equation Describing Interface Motion for Phase Transition, Physica D 85 (1995) 375-404.
  57. Andrea L Bertozzi, Loss and Gain of Regularity in a Lubrication Equation for Thin Viscous Films, Free Boundary Problems: Theory and Applications, pp. 72-85, J. I. Diaz, M. Herrero, A. Linan, J. L. Vazquez, eds.
  58. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: The Moving Contact Line with a 'Porous Media' cut off of Van der Waals Interactions, Nonlinearity. 7(6)November, 1994, pp. 1535-64.
  59. Andrea L Bertozzi, Michael P. Brenner, Todd F. Dupont, Leo P. Kadanoff, Singularities and Similarities in Interface Flows, Trends and Perspectives in Applied Mathematics, pp. 155-208, L. Sirovich, ed. volume 100, Springer-Verlag Applied Mathematical Sciences, 1994.
  60. Andrea L Bertozzi, Ashvin B. Chhabra, Cancellation Exponents and Fractal Scaling, Phys. Rev. E., 49(5) May 1, 1994, pp. 4716-9.
  61. Michael Brenner and Andrea L. Bertozzi, Spreading of Droplets on a Solid Surface, Physical Review Letters, 71 No. 4 pp. 593-596, July 26, 1993.
  62. Andrea L Bertozzi, James McKenna, Multidimensional Residues, Generating Functions, and Their Application To Queueing Networks, SIAM Review, 35, No. 2, pp. 239-268, June 1993.
  63. Andrea L Bertozzi, P. Constantin, Global Regularity for Vortex Patches, Commun. Math. Phys. 152 19-28 (1993).
  64. Andrea L. Bertozzi, Heteroclinic orbits and chaotic dynamics in planar fluid flows, SIAM J. Math. Anal., vol. 19, no. 6, November 1988, pp. 1271-1294. pp 41-76.

Bi, Zhuoxin

  1. Herbie Lee, David Higdon, Zhuoxin Bi, Marco Ferreira and Mike West, Markov Random Field Models for High Dimensional Parameter in Simulations of Fluid Flow in Porous media, Accepted for publication by Technometrics, 2001. , preprint 2001
  2. Zhuoxin Bi, John Trangenstein, Mutiscale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation, SPE 75232, SPE/DOE symposium on EOR , accepted 2001
  3. Zhuoxin Bi, John Trangenstein, Davis Higdon and Herbie Lee, Upscaling tensorial permeability field based on GMRF models and HMFE techniques, SPE ACET 2002 , submitted 2001
  4. Herbie Lee, David Higdon, Zhuoxin Bi, "A Bayesian Approach to Characterizing Uncertainty in Inverse Problems Using Coarse and Fine Scale Information,, IEEE on Signal Processing , accepted 2001
  5. John Trangenstein, Zhuoxin Bi, Multiscale Iterative Techniques and Adaptive Mesh Refinement for flow in porous media, Advances in Subsurface Hydrology , accepted 2001
  6. Dean Oliver, A. C. Reynolds, Zhuoxin Bi, Y. Abacioglu, Integration of Production Data into Reservoir Models, Petroleum Geoscience, Vol. 7, S65-S73, 2001
  7. Zhuoxin Bi, Dean Oliver and Albert Reynolds, Conditioning 3D Stochastic Channels to Pressure Data 3D Stochastic Channels to Pressure Data, SPE Journal, vol. 5, No. 4, P474-484, 2000. [org]
  8. Zhuoxin Bi, Dean S. Oliver and Albert C. Reynolds, "Conditioning 3D stochastic channels to well-test pressure data,", SPE 56682 (1999) [org]
  9. Zhuoxin Bi, Production Logging Principles and Applications,Chapter 7 , book 1992

Blake, Lewis D

  1. Lewis Blake and Michael Reed, Laboratory Calculus (2013-2014) (August, 2013)
  2. Lewis Blake and Michael Reed,, Laboratory Calculus (2012-2013) (August, 2012)
  3. Lewis Blake and Michael Reed, Laboratory Calculus (2011-2012) (August, 2011)
  4. Lewis Blake and Michael Reed, Laboratory Calculus (2010-2011) (August, 2010)
  5. Lewis Blake and Michael Reed, Laboratory Calculus, 2009-2010 (August, 2009)
  6. Lewis Blake and Michael Reed, Laboratory Calculus, 2008-2009 (August, 2008)
  7. Lewis Blake and Michael Reed, Laboratory Calculus, 2007-2008 (August, 2007)
  8. Lewis Blake and Michael Reed, Laboratory Calculus, 2006-2007 (June, 2006)
  9. with Michael Reed, Laboratory Calculus, 2005-2006 (2005)
  10. with Michael Reed, Laboratory Calculus, 2004-2005 (Summer, 2004)
  11. Lewis D. Blake , Michael Reed, Laboratory Calculus, 2003-2004 (2003)
  12. Lewis D. Blake, Michael Reed, Laboratory Calculus, 2001-2002 , book 2002
  13. Lewis D. Blake, Michael Reed, Laboratory Calculus, 2000-2001, John Wiley & Sons, Inc.
  14. Lewis D. Blake, Michael Reed, Laboratory Calculus, 1999-2000, John Wiley & Sons, Inc.
  15. Lewis D. Blake, Michael Reed, Laboratory Calculus 1998-1999, John Wiley & Sons, Inc
  16. Lewis D Blake, Jack Bookman, Seven Years of Project Calc at Duke University: Approaching a Steady State?, PRIMUS, September 1996, 221-234
  17. Lewis D. Blake, Lawrence Moore, David Smith, HP48 and HP48GX Calculator Laboratory Manual, D.C. Heath and Company

Bobrowski, Omer

  1. O. Bobrowski and M. Kahle, Topology of Random Geometric Complexes: A Survey (2014)
  2. O. Bobrowski, S. Mukherjee and J. S. Taylor, Topological Consistency via Kernel Estimation (2014)
  3. O. Bobrowski and S. Mukherjee, The Topology of Probability Distributions on Manifolds, Probability Theory and Related Fields (2014) [doi]
  4. R. J. Adler, O. Bobrowski and S. Weinberger, Crackle: The Homology of Noise, Discrete and Computational Geometry (2014) [doi]
  5. O. Bobrowski and R. J. Adler, Distance Functions, Critical Points and the Topology of Random Čech Complexes, Homology, Homotopy and Applications (2014)
  6. O. Bobrowski, M. S. Borman, Euler Integration of Gaussian Random Fields and Persistent Homology, Journal of Topology and Analysis, vol. 4 no. 1 (2012), ISSN 1793-5253
  7. R.J. Adler, O. Bobrowski, M.S. Borman, E. Subag and S. Weinberger, Persistent Homology for Random Fields and Complexes, in IMS Collections, vol. 6 (2010), ISBN 978-0-940600-79-9 (Borrowing Strength: Theory Powering Applications, A festschrift for Lawrence D. Brown.)
  8. O. Bobrowski, R. Meir, Y. C. Eldar, Bayesian Filtering in Spiking Neural Networks: Noise, Adaptation and Multisensory Integration, Neural Computation, vol. 21 no. 5 (2009), ISSN 0899-7667

Bookman, Jack

  1. Emily Lardner and Jack Bookman, Lessons Learned in Interdisciplinary Professional Development Designed to Promote the Teaching of Quantitative Literacy, Journal of Faculty Development, vol. 27 no. 2 (May, 2013)
  2. Narayan, Aditee Pradhan; Whicker, Shari A; Staples, Betty; Bookman, Jack; Bartlett, Kathleen; McGann, Kathleen A, The Clinical Skills Fair - An Innovative Curriculum Evaluation Tool, Journal of Graduate Medical Education (April 19, 2013)
  3. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, and Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes (2013)
  4. Alison Sweeney, Alyssa Stephany, Shari Whicker, Jack Bookman, and David A Turner, "Resident Educators" - Senior Pediatric Residents as Teachers for an Innovative Multidisciplinary Mock Code Curriculum, Journal of Graduate Medical Education, vol. 3 no. 2 (2011), pp. 188-195
  5. Cristina Varsavsky , Jeff Waldock, Ansie Harding, Jack Bookman, Louise Sheryn, Victor Martinez Luaces, Undergraduate mathematics around the world, Delta Communications, conference proceedings of the Volcanic Delta '11, the eighth Delta conference on the teaching and learning of undergraduate mathematics and statistics (2011)
  6. Turner, David A; Narayan, Aditee P; Whicker, Shari A; Bookman, Jack; McGann, Kathleen A, Do Pediatric Residents Prefer Interactive Learning? – Educational Challenges in the Duty Hours Era, Medical Teacher (2010)
  7. Jack Bookman, Susan Ganter and Rick Morgan, Developing Assessment Methodologies for Quantitative Literacy - A Formative Study, American Mathematical Monthly (December, 2008)
  8. Jack Bookman and David Malone, Negotiating Roles and Meaning While Learning Mathematics in Interactive Technology-Rich Environments, The Journal of the Scholarship of Teaching and Learning, vol. 6 no. 2 (October, 2006), pp. 41-65
  9. Jack Bookman and David Malone, The Nature of Learning in Interactive Technological Environments - A Proposal for a Research Agenda Based on Grounded Theory, edited by edited by Selden, A., Dubinsky, E., Harel, G., and Hitt, F., Research in Collegiate Mathematics Education V., Providence, RI: American Mathematical Society. (2003)
  10. Dale Winter , Paula Lemons , Jack Bookman and William Hoese, Novice Instructors and Student-Centered Instruction: Identifying and Addressing Obstacles to Learning in the College Science Laboratory, Journal of Scholarship of Teaching and Learning, vol. 2 no. 1 (2001)
  11. Jack Bookman, Learning Mathematics Meaningfully – A Challenge to College Faculty, Proceedings of First Annual Charleston Connections: Innovations in Higher Education Conference, Charleston, SC: The Citadel, 2001: pp.92 - 100
  12. Jack Bookman, Duke University's Mathematics Department Outreach to Secondary Mathematics Teachers: Problems, Potential, and Pitfalls, Conference proceedings from the Invitational Conference on K-12 Outreach from University Science Departments, Raleigh, NC: North Carolina State University, 2000: pp.143 - 145
  13. Jack Bookman, Program Evaluation and Undergraduate Mathematics Renewal: The impact of calculus reform on student performance in subsequent courses, in Ganter, S. (Ed.) Calculus Renewal: Issues for Undergraduate Mathematics Education in the Next Decade, New York, NY: Plenum Press, 2000: pp.91 - 102
  14. Jack Bookman and Charles Friedman, The Evaluation of Project CALC at Duke University 1989 - 1994, in B. Gold, S. Keith, W. Marion, eds., Assessment Practices in Undergraduate Mathematics, MAA Notes # 49, Washington DC: Mathematical Association of America, 1999: pp. 253-256.
  15. Jack Bookman and Charles Friedman, Student Attitudes and Calculus Reform, School Science and Mathematics, March 1998: 117-122
  16. Jack Bookman, There's Glory For You! - Why We Define Mathematical Terms The Way We Do, Centroid, Spring 1996, 36-39
  17. Jack Bookman and Lewis Blake, Seven Years of Project CALC at Duke University - Approaching a Steady State?, PRIMUS, September 1996: 221 - 234
  18. David Smith and Jack Bookman,, Assessment in a Technological Age, Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics (1996) Addison-Wesley 433-437
  19. Jack Bookman and Charles Friedman, A Comparison of the Problem Solving Performance of Students in Lab Based and Traditional Calculus, in Dubinsky, E., Schoenfeld, A.H., Kaput, J. (Ed) Research in Collegiate Mathematics Education I. , Providence, RI: American Mathematical Society, 1994, pp. 101-116.
  20. Jack Bookman, An Expert Novice Study of Metacognitive Behavior in Four Types of Mathematics Problems, PRIMUS, September 1993: 284-313.
  21. Jack Bookman, Evaluation of Calculus Reform at Duke University, UME Trends, March 1992
  22. Jack Bookman, NSF Workshop on Assessment in Calculus Curriculum Reform Efforts, UME Trends, October, 1992
  23. Jack Bookman and David A. Smith, A Review of “The Electronic Study Guide: Precalculus Algebra, College Mathematics Journal, June 1985
  24. Jack Bookman, Why “False Implies False" is True - a Discovery Explanation, The Mathematics Teacher 71 (November 1978): 675-676.

Bouvrie, Jake

  1. J. Bouvrie and B. Hamzi, Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure, in Proc. American Control Conference (ACC) (2012)
  2. M. Raginsky and J. Bouvrie, Continuous-Time Stochastic Mirror Descent on a Network: Variance Reduction, Consensus, Convergence, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
  3. J. Bouvrie and M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
  4. J. Bouvrie and J.-J.E. Slotine, Synchronization can Control Regularization in Neural Systems via Correlated Noise Processes, in Proc. Advances in Neural Information Processing Systems (NIPS) 25 (2012)
  5. J. Bouvrie and M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, in Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
  6. J. Bouvrie and J.-J. E. Slotine, Synchronization and Redundancy: Implications for Robustness of Neural Learning and Decision Making, Neural Computation, vol. 23 no. 11 (2011), pp. 2915-2941, ISSN 0899-7667
  7. J. Bouvrie, T. Poggio, L. Rosasco; S. Smale, A. Wibisono, Generalization and Properties of the Neural Response, MIT-CSAIL Tech Report TR-2010-051/CBCL-292 (November, 2010), Massachusetts Institute of Technology
  8. A. Wibisono, J. Bouvrie, L. Rosasco and T. Poggio, Learning and Invariance in a Family of Hierarchical Kernels, MIT CSAIL Tech Report MIT-CSAIL-TR-2010-035/CBCL Paper 290 (July, 2010), Massachusetts Institute of Technology
  9. J. Bouvrie and B. Hamzi, Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space, in Proc. 48th Annual Allerton Conference on Communication, Control, and Computing (2010)
  10. S. Smale and L. Rosasco and J. Bouvrie and A. Caponnetto and T. Poggio, Mathematics of the Neural Response, J. Found. Comput. Math. (June, 2009)
  11. J. Bouvrie and L. Rosasco and T. Poggio, On Invariance in Hierarchical Models, in Advances in Neural Information Processing Systems (NIPS) 22 (2009)
  12. J. Bouvrie and T. Ezzat and T. Poggio, Localized Spectro-Temporal Cepstral Analysis of Speech, in IEEE International Conference on Acoustics, Speech, and Signal Processing (2008)
  13. T. Ezzat and J. Bouvrie and T. Poggio, Spectro-Temporal Analysis of Speech Using 2-D Gabor Filters, in International Conference on Spoken Language Processing (Interspeech) (2007)
  14. U. Knoblich and J. Bouvrie and T. Poggio, Biophysical Models of Neural Computation: Max and Tuning Circuits, in Web Intelligence Meets Brain Informatics (WImBI 2006), Lecture Notes in Artificial Intelligence, vol. 4845 (2007), Springer
  15. T. Ezzat and J. Bouvrie and T. Poggio, AM-FM Demodulation of Spectrograms Using Localized 2D Max-Gabor Analysis, in IEEE International Conference on Acoustics, Speech, and Signal Processing (2007)
  16. J. Bouvrie and P. Sinha, Visual object concept discovery: Observations in congenitally blind children, and a computational approach, Neurocomputing, vol. 70 no. 13 (2007), pp. 2218--2233
  17. R. Rifkin and K. Schutte and D. Saad and J. Bouvrie and J. Glass, Noise Robust Phonetic Classification with Linear Regularized Least Squares and Second-Order Features, in IEEE International Conference on Acoustics, Speech, and Signal Processing (2007)
  18. R. Rifkin and J.Bouvrie and K. Schutte and S. Chikkerur and M. Kouh and T. Ezzat and T. Poggio, Phonetic Classification Using Hierarchical, Feed-forward, Spectro-temporal Patch-based Architectures (2007), Cambridge, MA
  19. J. Bouvrie and T. Ezzat, An Incremental Algorithm for Signal Reconstruction from Short-Time Fourier Transform Magnitude, in International Conference on Spoken Language Processing (Interspeech) (2006)
  20. T. Ezzat and J. Bouvrie and T. Poggio, Max-Gabor Analysis and Synthesis of Spectrograms, in International Conference on Spoken Language Processing (Interspeech) (2006)

Bouzarth, Elizabeth L.

  1. E.L. Bouzarth and M.L. Minion, A multirate time integrator for regularized Stokeslets, Journal of Computational Physics, vol. 229 no. 11 (June, 2010), pp. 4208-4224 [doi]  [abs]
  2. E.L. Bouzarth, A.T. Layton, and Y.-N. Young, Modeling a Semi-Flexible Filament in Cellular Stokes Flow Using Regularized Stokeslets (2010)
  3. E.L. Bouzarth and M.L. Minion, Modeling Non-Slender Bodies with the Method of Regularized Stokeslets (2010)
  4. E.L. Bouzarth and M.L. Minion, Modeling Slender Bodies with the Method of Regularized Stokeslets (2010)
  5. E.L. Bouzarth, Regularized Singularities and Spectral Deferred Correction Methods: A Mathematical Study of Numerically Modeling Stokes Fluid Flow (2008) (Ph.D. dissertation at University of North Carolina at Chapel Hill.) [search]
  6. E.L. Bouzarth, , A. Brooks, R. Camassa, H. Jing, T.J. Leiterman, R.M. McLaughlin, R. Superfine, J. Toledo, and L. Vicci., Epicyclic orbits in a viscous fluid about a precessing rod: Theory and experiments at the micro and macro scales, Physical Review E, vol. 76 (2007), pp. 016313 [doi]  [abs]
  7. E.L. Bouzarth and H. Pfister, Helicity conservation under Reidemeister Moves, American Journal of Physics, vol. 74 no. 2 (February, 2006), pp. 141-144 [doi]  [abs]
  8. E.L. Bouzarth and D. Richeson, Topological Helicity for Framed Links, Journal of Knot Theory and its Ramifications, vol. 13 no. 8 (2004), pp. 1007-1019 [doi]  [abs]

Bowen, Mark

  1. M. Bowen, J. R. King and J. Hulshof, Anomalous exponents and dipole solutions for the thin film equation, SIAM J. Appl. Math., (2001), 62:149-179 [ps]  [abs]
  2. J. R. King and M. Bowen, Moving boundary problems and non-uniqueness for the thin film equation, Euro. J. Appl. Math. (2001), 12:321-356 [ps]  [abs]
  3. J. Hulshof, J. R. King and M. Bowen, Intermediate asymptotics of the porous medium equation with sign changes, Adv. Diff. Eq. (2001), 6:1115-1152 [ps]  [abs]
  4. T. P. Witelski and Mark Bowen, ADI schemes for higher-order nonlinear diffusion equations, Appl. Num. Math. , submitted 2001
  5. M. Bowen and J. R. King, Asymptotic behaviour of the thin film equation in bounded domains, Euro. J. Appl. Math. (2001), 12:135-157 [ps]  [abs]

Bray, Clark B

  1. C.B. Bray, Multivariable Calculus (2009), pp. 468, CreateSpace, Inc., www.createspace.com (Book Webpage.)  [abs] [author's comments]

Bray, Hubert L.

  1. H.L. Bray and J. L. Jauregui, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass, Communications in Mathematical Physics (April, 2014) [arXiv:1310.8638 [math.DG]], [8638]
  2. H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II (February, 2014) [arXiv:1402.3287 [math.DG]], [3287]  [abs]
  3. H.L. Bray and J. L. Jauregui, On Curves with Nonnegative Torsion (December, 2013) [arXiv:1312.5171 [math.DG]], [5171]
  4. H.L. Bray and J.L. Jauregui, A Geometric Theory of Zero Area Singularities in General Relativity, Asian Journal of Mathematics, vol. 17 no. 3 (September, 2013), pp. 525-560 [arXiv:0909.0522v1]
  5. H.L. Bray and A. R. Parry, Modeling Wave Dark Matter in Dwarf Spheroidal Galaxies (January, 2013) [html]
  6. H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume, "Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations", vol. 599 (2013), American Mathematical Society [html]
  7. H.L. Bray, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December 22, 2012) [html]
  8. H.L. Bray and M.A. Khuri, P.D.E.'s Which Imply the Penrose Conjecture, Asian Journal of Mathematics, vol. 15 no. 4 (December, 2011), pp. 54, International Press, ISSN 1093-6106 [pdf]  [author's comments]
  9. H.L. Bray, On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension, in Surveys in Geometric Analysis and Relativity in Honor of Richard Schoen's 60th Birthday, edited by Hubert L. Bray and William P. Minicozzi (2011), Higher Education Press and International Press, Beijing and Boston [arXiv:1101.2230v1], [pdf]  [author's comments]
  10. H.L. Bray and M.A. Khuri, A Jang Equation Approach to the Penrose Inequality, Discrete and Continuous Dynamical Systems A, vol. 27 no. 2 (June, 2010) [arXiv:0910.4785v1]
  11. H.L. Bray, S. Brendle, M. Eichmair, A. Neves, Area-Minimizing Projective Planes in 3-Manifolds, Communications in Pure and Applied Mathematics (2010) [arXiv:0909.1665v1]
  12. H.L. Bray, S. Brendle, A. Neves, Rigidity of Area-Minimizing Two-Spheres in Three-Manifolds, Communications in Analysis and Geometry (2010) [arXiv:1002.2814]
  13. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Mathematical Journal, vol. 148 no. 1 (2009), pp. 81-106 [arXiv:0705.1128v1], [pdf]
  14. H.L. Bray, P. Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008) [arXiv:0707.3337v1]
  15. H.L. Bray, S. Hayward, M. Mars, W. Simon, Generalized Inverse Mean Curvature Flows in Spacetime, Communications in Mathematical Physics, vol. 272 no. 1 (May, 2007), pp. 119-138 [arXiv:gr-qc/0603014v1]
  16. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
  17. H.L. Bray and A. Neves, Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3, Annals of Mathematics, vol. 159 no. 1 (2004), pp. 407--424 [p09]
  18. H.L. Bray and P.T. Chrusciel, The Penrose Inequality, in The Einstein Equations and the Large Scale Behavior of Gravitational Fields (50 Years of the Cauchy Problem in General Relativity), edited by P.T. Chrusciel and H.F. Friedrich (2004), Birkhauser [arXiv:gr-qc/0312047v2]
  19. H.L. Bray, A Family of Quasi-local Mass Functionals with Monotone Flows, in Proceedings of the 14th International Congress on Mathematical Physics, Lisbon, Portugal, 2003, edited by Jean-Claude Zambrini (2003) [Family%20of%20Quasi-local%20Mass%20Functionals%20with%20Monotone%20Flows&f=false]
  20. H.L. Bray and K. Iga, Superharmonic Functions in R^n and the Penrose Inequality in General Relativity, Communications in Analysis and Geometry, vol. 10 no. 5 (2002), pp. 999--1016
  21. H.L. Bray, Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity, Notices of the American Mathematical Society, vol. 49 no. 11 (2002), pp. 1372--1381
  22. H. L. Bray and F. Finster, Curvature Estimates and the Positive Mass Theorem, Communications in Analysis and Geometry, vol. 10 no. 2 (2002), pp. 291--306 [arXiv:math/9906047v3]
  23. H. L. Bray and F. Morgan, An Isoperimetric Comparison Theorem for Schwarzschild Space and Other Manifolds, Proceedings of the American Mathematical Society, vol. 130 no. 5 (2002), pp. 1467--1472 [pdf]
  24. H.L. Bray, Black Holes and the Penrose Inequality in General Relativity, in Proceedings of the International Congress of Mathematicians, Beijing, China, 2002, vol. 2 (2002), pp. 257-272 [arXiv:math/0304261v1]
  25. H. L. Bray, Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem, Journal of Differential Geometry, vol. 59 no. 2 (2001), pp. 177--267 [arXiv:math/9911173v1], [pdf]
  26. H. L. Bray and R.M. Schoen, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics, 1999 (Cambridge, MA) (1999), pp. 1--36, Int. Press, Somerville, MA
  27. H.L. Bray, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature (1997) (thesis, Stanford University.) [arXiv:0902.3241v1]
  28. H.L. Bray, K. McCormick, R.O. Wells, Jr., Xiao-dong Zhou, Wavelet Variations on the Shannon Sampling Theorem, Biosystems, vol. 34 (1995), pp. 249-257, Elsevier Science Ireland [science]  [author's comments]

Bryant, Robert L   (search)

  1. R.L. Bryant, Notes on Exterior Differential Systems (May, 2014) [arXiv:1405.3116]  [abs] [author's comments]
  2. R.L. Bryant, S.-s. Chern's study of almost-complex structures on the six-sphere (May, 2014) [arXiv:1405.3405]  [abs]
  3. with Michael G. Eastwood, A. Rod. Gover, Katharina Neusser, Some differential complexes within and beyond parabolic geometry (December, 2011) [arXiv:1112.2142v2]  [abs] [author's comments]
  4. Non-embedding and non-extension results in special holonomy, in The many facets of geometry, edited by Jean-Pierre Bourguignon, Simon Salamon, and Oscar Garcia Prada (Fall, 2010), pp. 346--367, Oxford University Press, Oxford [MR2681703]
  5. with M. Dunajski, M. Eastwood, Metrisability of two-dimensional projective structures, J. Differential Geometry, vol. 83 no. 3 (2009), pp. 465--499, ISSN 0022-040X [MR2581355], [arXiv:0801.0300v1 [math.DG]]  [abs]
  6. Gradient Kähler Ricci Solitons, in Géométrie différentielle, physique mathématique, mathématiques et société. I., Astérisque, vol. 321 (Spring, 2008), pp. 51--97, ISBN 978-285629-258-7 [MR2010i:53138], [math.DG/0407453]  [abs]
  7. with G. Manno, V. Matveev, A solution of a problem of Sophus Lie: Normal forms of 2-dimensional metrics admitting two projective vector fields, Mathematische Annalen, vol. 340 no. 2 (Spring, 2008), pp. 437--463 [3592]  [abs]
  8. Geodesically reversible Finsler 2-spheres of constant curvature, in Inspired by S. S. Chern---A Memorial Volume in Honor of a Great Mathematician, Nankai Tracts in Mathematics, edited by P. A. Griffiths, vol. 11 (Winter, 2006), World Scientific [math.DG/0407514]  [abs]
  9. On the geometry of almost complex 6-manifolds, The Asian Journal of Mathematics, vol. 10 no. 3 (September, 2006), pp. 561--606 [math.DG/0508428]  [abs]
  10. Conformal geometry and 3-plane fields on 6-manifolds, in Developments of Cartan Geometry and Related Mathematical Problems, RIMS Symposium Proceedings, vol. 1502 (July, 2006), pp. 1-15, Kyoto University [math.DG/0511110]  [abs] [author's comments]
  11. SO(n)-invariant special Lagrangian submanifolds of C^{n+1} with fixed loci, Chinese Annals of Mathematics, Series B, vol. 27 no. 1 (January, 2006), pp. 95--112 [MR2209954], [math.DG/0402201]  [abs]
  12. Second order families of special Lagrangian 3-folds, in Perspectives in Riemannian Geometry, CRM Proceedings and Lecture Notes, edited by Vestislav Apostolov, Andrew Dancer, Nigel Hitchin, and McKenzie Wang, vol. 40 (2006), American Mathematical Society [math.DG/0007128]  [abs]
  13. Some remarks on G2 structures, in Proceeding of Gökova Geometry-Topology Conference 2005, edited by S. Akbulut, T Önder, and R.J. Stern (2006), International Press [math.DG/0305124]  [abs]
  14. Geometry of manifolds with special holonomy: "100 years of holonomy", in 150 years of mathematics at Washington University in St. Louis, Contemporary Mathematics, vol. 395 (2006), pp. 29--38, AMS [MR2206889]  [author's comments]
  15. Holonomy and Special Geometries, in Dirac Operators: Yesterday and Today, Conference Proceedings and Lecture Notes in Geometry and Topology, edited by Bourguignon, Branson, Chamseddine, Hijazi, and Stanton (2005), pp. 71--90, International Press (Proceedings of the Summer School and Workshop at CAMS-AUB, Lebanon, August 27 -- September 7, 2001.) [MR2205367]
  16. Real hypersurfaces in unimodular complex surfaces (July 27, 2004) [math.DG/0407472]  [abs]
  17. with David Bao, S.-S. Chern, Zhongmin Shen, eds., A sampler of Riemann-Finsler geometry, Mathematical Sciences Research Institute Publications, edited by Bao, David and Bryant, Robert L. and Chern, Shiing-Shen, vol. 50 (2004), pp. xii+363, Cambridge University Press, Cambridge [MR2132655(2005j:53003)]
  18. with Edelsbrunner, Herbert and Koehl, Patrice and Levitt, Michael, The area derivative of a space-filling diagram, Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, vol. 32 no. 3 (2004), pp. 293--308 (ISSN: 0179-5376.) [MR2005k:92077]
  19. with Phillip Griffiths and Dan Grossmann, Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, Chicago Lectures in Mathematics (2003), University of Chicago Press (vii+213 pages, ISBN: 0-226-07794-2.) [MR1985469], [math.DG/0207039]  [author's comments]
  20. Selected works of Phillip A. Griffiths with commentary. Part 4. Differential systems., edited by R. L. Bryant and David R. Morrison (2003), American Mathematical Society, Providence, RI; International Press, Somerville, MA [MR2005e:01025d]
  21. Some remarks on Finsler manifolds with constant flag curvature, Houston Journal of Mathematics, vol. 28 no. 2 (2002), pp. 221--262 [MR2003h:53102], [math.DG/0107228]  [abs]
  22. Levi-flat minimal hypersurfaces in two-dimensional complex space forms, in Lie groups, geometric structures and differential equations---one hundred years after Sophus Lie (Kyoto/Nara, 1999), Adv. Stud. Pure Math., vol. 37 (2002), pp. 1--44, Math. Soc. Japan [MR1980895], [math.DG/9909159]  [abs]
  23. Bochner-Kähler metrics, Journal of the AMS, vol. 14 no. 3 (2001), pp. 623--715 [MR2002i:53096], [math.DG/0003099]  [abs]
  24. On surfaces with prescribed shape operator, Results in Mathematics, vol. 40 no. 1--4 (2001), pp. 88--121 (Dedicated to Shiing-Shen Chern on his 90th birthday.) [MR2002i:53010], [math.DG/0107083]  [abs] [author's comments]
  25. Harmonic morphisms with fibers of dimension one, Communications in Analysis and Geometry, vol. 8 no. 2 (2000), pp. 219--265 [MR2001i:53101], [dg-ga/9701002]  [abs]
  26. Recent advances in the theory of holonomy, Astérisque, vol. 266 no. 5 (2000), pp. 351--374 (Exposé No. 861.) [MR2001h:53067], [math.DG/9910059], [html]  [author's comments]
  27. Élie Cartan and geometric duality, in Journées Élie Cartan 1998 et 1999, vol. 16 (2000), pp. 5–20, Institut Élie Cartan [pdf]  [author's comments]
  28. Calibrated embeddings in the special Lagrangian and coassociative cases, Annals of Global Analysis and Geometry, vol. 18 no. 3–4 (2000), pp. 405–435 (Special issue in memory of Alfred Gray (1939--1998).) [MR2002j:53063], [math.DG/9912246]  [abs]
  29. Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor, in Global Analysis and Harmonic Analysis, Séminaires & Congrès, vol. 4 (2000), pp. 53–93 [MR2002h:53082], [math.DG/0004073]  [abs]
  30. with Eric Sharpe, D-branes and Spinc-structures, Phys. Lett. B, vol. 450 no. 4 (1999), pp. 353–357 [MR2000c:53054], [hep-th/98l2084]  [abs]
  31. Some examples of special Lagrangian tori, Adv. Theor. Math. Phys., vol. 3 no. 1 (1999), pp. 83–90 [MR2000f:32033], [math.DG/9902076]  [abs]
  32. Russell, Thomas and Farris, Frank, Integrability, Gorman systems, and the Lie bracket structure of the real line (with an appendix by –––), J. Math. Econom., vol. 29 no. 2 (1998), pp. 183–209 [MR99f:90029]
  33. Projectively flat Finsler 2-spheres of constant curvature, Selecta Math. (N.S.), vol. 3 no. 2 (1997), pp. 161–203 [MR98i:53101], [dg-ga/9611010]  [author's comments]
  34. On extremals with prescribed Lagrangian densities, in Manifolds and geometry (Pisa, 1993), Symposia Mathematica, edited by Paolo de Bartolomeis, Franco Tricerri and Edoardo Vesentini, vol. XXXVI (1996), pp. 86–111, Cambridge Univ. Press, Cambridge [MR99a:58043], [dg-ga/9406001]  [author's comments]
  35. Classical, exceptional, and exotic holonomies: a status report, in Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Sémin. Congr., vol. 1 (1996), pp. 93–165, Soc. Math. France, Paris [MR98c:53037], [dvi]  [abs]
  36. Finsler structures on the 2-sphere satisfying K=1, in Finsler geometry (Seattle, WA, 1995), Contemporary Mathematics, edited by David Bao, Shiing-shen Chern and Zhongmin Shen, vol. 196 (1996), pp. 27–41, Amer. Math. Soc., Providence, RI [MR97e:53128], [dvi]  [author's comments]
  37. with Phillip Griffiths, Characteristic cohomology of differential systems, I: General theory, J. Amer. Math. Soc., vol. 8 no. 3 (1995), pp. 507–596 [MR96c:58183], [dvi]  [author's comments]
  38. with Phillip Griffiths, Characteristic cohomology of differential systems, II: Conservation laws for a class of parabolic equations, Duke Math. Journal, vol. 78 no. 3 (1995), pp. 531–676 [MR96d:58158], [dvi]  [author's comments]
  39. with Phillip A. Griffiths and Lucas Hsu, Hyperbolic exterior differential systems and their conservation laws, Part I, Selecta Math. (N.S.), vol. 1 no. 1 (1995), pp. 21–112 [MR97d:580008], [dvi]
  40. with Phillip A. Griffiths and Lucas Hsu, Hyperbolic exterior differential systems and their conservation laws, Part II, Selecta Math. (N.S.), vol. 1 no. 2 (1995), pp. 265–323 [MR97d:580009], [dvi]
  41. with Phillip Griffiths and Lucas Hsu, Toward a geometry of differential equations, in Geometry, Topology, & Physics, Conf. Proc. Lecture Notes Geom. Topology, edited by S.-T. Yau, vol. IV (1995), pp. 1–76, Internat. Press, Cambridge, MA [MR97b:58005], [dvi]
  42. with Robert B. Gardner, Control structures, in Geometry in nonlinear control and differential inclusions (Warsaw, 1993), Banach Center Publications, edited by Bronis\l aw Jakubczyk, Witold Respondek and Tadeusz Rze\.zuchowski, vol. 12 (1995), pp. 111–121, Polish Acad. Sci., Warsaw [MR96h:93024], [dvi]
  43. An introduction to Lie groups and symplectic geometry, in Geometry and quantum field theory (Park City, UT, 1991), IAS/Park City Mathematics, vol. 1 (1995), pp. 5–181, Amer. Math. Soc., Providence, RI [MR96i:58002]  [abs] [author's comments]
  44. with Lucas Hsu, Rigidity of integral curves of rank 2 distributions, Invent. Math., vol. 114 no. 2 (1993), pp. 435–461 [MR94j:58003], [dvi]  [author's comments]
  45. Two exotic holonomies in dimension four, path geometries, and twistor theory, in Complex geometry and Lie theory (Sundance, UT, 1989), Proc. Sympos. Pure Math., edited by James A. Carlson, C. Herbert Clemens and David R. Morrison, vol. 53 (1991), pp. 33–88, Amer. Math. Soc., Providence, RI [MR93e:53030], [dvi]  [author's comments]
  46. Some remarks on the geometry of austere manifolds, Bol. Soc. Brasil. Mat. (N.S.), vol. 21 no. 2 (1991), pp. 133–157 [MR92k:53112], [dvi]  [author's comments]
  47. with Simon Salamon, On the construction of some complete metrics with exceptional holonomy, Duke Math. J., vol. 58 no. 3 (1989), pp. 829–850 [MR90i:53055]  [author's comments]
  48. with F. Reese Harvey, Submanifolds in hyper-Kähler geometry, J. Amer. Math. Soc., vol. 2 no. 1 (1989), pp. 1–31 [MR89m:53090]  [author's comments]
  49. Surfaces in conformal geometry, in The mathematical heritage of Hermann Weyl (Durham, NC, 1987), Proc. Sympos. Pure Math., vol. 48 (1988), pp. 227–240, Amer. Math. Soc., Providence, RI [MR89m:53102]  [author's comments]
  50. Surfaces of mean curvature one in hyperbolic space, in Théorie des variétés minimales et applications (Palaiseau, 1983–1984), Astérisque, vol. 154-155 (1987) (1988), pp. 321–347, Société Mathématique de France, Paris [MR955072]  [author's comments]
  51. On notions of equivalence of variational problems with one independent variable, in Differential geometry: the interface between pure and applied mathematics (San Antonio, Tex., 1986), Contemporary Mathematics, edited by Mladen Luksic, Clyde Martin and William Shadwick, vol. 68 (1987), pp. 65–76, Amer. Math. Soc., Providence, RI [MR89f:58037]  [author's comments]
  52. A survey of Riemannian metrics with special holonomy groups, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), (1987), pp. 505–514, Amer. Math. Soc., Providence, RI [MR89f:53068]  [author's comments]
  53. Metrics with exceptional holonomy, Ann. of Math. (2), vol. 126 no. 3 (1987), pp. 525–576 [MR89b:53084]  [author's comments]
  54. Minimal Lagrangian submanifolds of Kähler-Einstein manifolds, in Differential geometry and differential equations (Shanghai, 1985), Lecture Notes in Math., edited by Chao Hao Gu, Marcel Berger and Robert L. Bryant, vol. 1255 (1987), pp. 1–12, Springer-Verlag, Berlin [MR88j:53061]  [author's comments]
  55. with Phillip Griffiths, Reduction for constrained variational problems and $\int{1\over 2}k\sp 2\,ds$, Amer. J. Math., vol. 108 no. 3 (1986), pp. 525–570 [MR88a:58044]  [author's comments]
  56. Lie groups and twistor spaces, Duke Math. J., vol. 52 no. 1 (1985), pp. 223–261 [MR87d:58047]  [author's comments]
  57. Minimal surfaces of constant curvature in Sn, Trans. Amer. Math. Soc., vol. 290 no. 1 (1985), pp. 259–271 [MR87c:53110]  [author's comments]
  58. Metrics with holonomy G2 or Spin(7), in Workshop Bonn 1984 (Bonn, 1984), Lecture Notes in Math., edited by F. Hirzebruch, J. Schwermer and S. Suter, vol. 1111 (1985), pp. 269–277, Springer, Berlin--New York [MR87a:53082]  [author's comments]
  59. A duality theorem for Willmore surfaces, J. Differential Geom., vol. 20 no. 1 (1984), pp. 23–53 [MR86j:58029]  [author's comments]
  60. with Phillip A. Griffiths, Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle, in Arithmetic and geometry, Vol. II, Progress in Mathematics, edited by Michael Artin and John Tate, vol. 36 (1983), pp. 77–102, Birkhäuser Boston, Boston, MA [MR86a:32044]  [author's comments]
  61. with Eric Berger and Phillip Griffiths, The Gauss equations and rigidity of isometric embeddings, Duke Math. J., vol. 50 no. 3 (1983), pp. 803–892 [MR85k:53056]  [author's comments]
  62. with Phillip Griffiths and Deane Yang, Characteristics and existence of isometric embeddings, Duke Math. J., vol. 50 no. 4 (1983), pp. 893–994 [MR85d:53027]  [author's comments]
  63. Submanifolds and special structures on the octonians, J. Differential Geom., vol. 17 no. 2 (1982), pp. 185–232 [MR84h:53091]  [abs]
  64. Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Differential Geom., vol. 17 no. 3 (1982), pp. 455-473 [MR84a:53062]  [author's comments]
  65. Holomorphic curves in Lorentzian CR-manifolds, Trans. Amer. Math. Soc., vol. 272 no. 1 (1982), pp. 203–221 [MR83i:32029]  [abs]
  66. with Shiing-Shen Chern and Phillip Griffiths, Exterior differential systems, in Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations (Beijing, 1980), edited by S. S. Chern and Wen Tsün Wu, vol. 1 (1982), pp. 219–338, Science Press, Beijing [MR85k:58005]  [author's comments]
  67. with Eric Berger and Phillip Griffiths, Some isometric embedding and rigidity results for Riemannian manifolds, Proc. Nat. Acad. Sci. U.S.A., vol. 78 no. 8 (1981), pp. 4657–4660 [MR82h:53074]  [author's comments]
  68. Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces, Annals of Mathematics Studies (to appear) [math.DG/0006186]  [author's comments]
  69. with S.-S. Chern, Robert B. Gardner, Hubert L. Goldschmidt,and Phillip A. Griffiths, Exterior Differential Systems, MSRI Publications18. Springer-Verlag, New York, 1991 [MR92h:58007]  [author's comments]
  70. with Victor Guillemin, Sigurdur Helgason, and R. O. Wells, Jr. (eds.), Integral Geometry, Proceedings of the AMS-IMS-SIAM joint summer research conference held in Brunswick, Maine, August 12--18, 1984, pp. x+350, 1987, American Mathematical Society, [MR87j:53003]
  71. with Marcel Berger and Chao Hao Gu (eds.), Differential Geometry and Differential Equations, Proceedings of the sixth symposium held at Fudan University, Shanghai, June 21--July 6, 1985, pp. xii+243, 1987, Springer-Verlag, Berlin [MR88b:53002]

Cahill, Jameson

  1. J. Cahill, P.G. Casazza, M. Ehler, S. Li, Tight and random nonorthogonal fusion frames (2013) [0532]  [abs]
  2. J. Cahill, D.G. Mixon, N. Strawn, Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames (2013) [4748]  [abs]

Catlla, Anne

  1. A. Catlla, D. Schaeffer, T. Witelski, E. Monson, A. Lin, On Spiking Models of Synaptic Activity and Impulsive Differential Equations, SIAM Review (2007)
  2. A. Catlla, J. Porter, M. Silber, Weakly nonlinear analysis of impulsively-forced Faraday waves, Physical Review E, vol. 72 no. 5 (November 17, 2005), pp. 056212  [abs]

Cederbaum, Carla

  1. Carla Cederbaum, The Geometry of Static Spacetimes: Geometrostatics (July, 2012) (Oberwolfach reports.) [www_view]
  2. Carla Cederbaum, The Newtonian Limit of Geometrostatics (July, 2011) (PhD thesis.) [FUDISS_thesis_000000023871]
  3. Marcus Ansorg, Jörg Hennig, Carla Cederbaum, Universal properties of distorted Kerr-Newman black holes, Gen. Relativ. Gravit., vol. 43 (2011), pp. 1205 [arXiv:1005.3128]
  4. Jörg Hennig, Carla Cederbaum, Marcus Ansorg, A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory, Comm. Math. Phys., vol. 293 no. 2 (2010), pp. 449–467 [arXiv:0812.2811]
  5. Jörg Hennig, Marcus Ansorg, Carla Cederbaum, A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter, Classical Quantum Gravity, vol. 25 no. 16 (2008), pp. 162002 [arXiv:0805.4320]
  6. Carla Cederbaum, Geometrostatics: the geometry of static space-times, Conference Proceedings "Relativity and Gravitation -- 100 years after Einstein in Prague" , accepted 2012 [arXiv:1210.4436]  [abs]

Charbonneau, Benoit

  1. Benoit Charbonneau, Patrick Charbonneau, Gilles Tarjus, Geometrical frustration and static correlations in a simple glass former, Phys. Rev. L (December, 2011) [1108.2492]  [abs]
  2. Benoit Charbonneau and Mark Stern, Asymptotic Hodge Theory of Vector Bundles (2011) [1111.0591]
  3. Benoit Charbonneau and Jacques Hurtubise, The Nahm transform for calorons, in The many facets of geometry: a tribute to Nigel Hitchin, edited by Jean-Pierre Bourguignon, Oscar Garcia-Prada and Simon Salamon (July, 2010), Oxford University Press, ISBN 978-0-19-953492-0 [2412]  [abs]
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  7. Juli Atherton, Benoit Charbonneau, Xiaojie Zhou, David Wolfson, Lawrence Joseph and Alain C. Vandal, Bayesian optimal design for changepoint problems, Canadian Journal of Statistics, vol. 37 no. 4 (2009), pp. 495-513 [cjs.10037]  [abs]
  8. Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1, Communications in Mathematical Physics, vol. 280 no. 2 (2008), pp. 315--349, ISSN 0010-3616 [MR2395473], [s00220-008-0468-7]  [abs]
  9. Benoit Charbonneau, Various MathSciNet reviews (2007 - present) [publications.html]
  10. Charbonneau, Benoit, From spatially periodic instantons to singular monopoles, Communications in Analysis and Geometry, vol. 14 no. 1 (2006), pp. 183--214, ISSN 1019-8385 [MR2230575 (2007c:53036)], [0410561]  [abs]
  11. Benoit Charbonneau, Analytic aspects of periodic instantons (2004), Cambridge, MA, USA (MIT PhD thesis, supervised by Tomasz Mrowka.) [pdf]
  12. Benoit Charbonneau, Introduction au théorème de Riemann-Roch (1999) (UQAM MSc Thesis, supervised by Pierre Bouchard and François Lalonde.) [pdf]

Chen, Guangliang

  1. G. Chen, M. Iwen, S. Chin and M. Maggioni, A Fast Multiscale Framework for Data in High Dimensions: Measure Estimation, Anomaly Detection, and Compressive Measurements, in Proceedings of Visual Communications and Image Processing (VCIP) (November, 2012), San Diego, CA
  2. G. Chen, A.V. Little, and M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis (September, 2012), Springer
  3. W.K. Allard, G. Chen, and M. Maggioni, Multiscale Geometric Methods for Data Sets II: Geometric Multi-Resolution Analysis, Applied and Computational Harmonic Analysis, vol. 32 no. 3 (May, 2012), pp. 435-462 [doi]  [author's comments]
  4. E. Arias-Castro, G. Chen, and G. Lerman, Spectral Clustering based on Local Linear Approximations, Electronic Journal of Statistics, vol. 5 (November, 2011), pp. 1537–1587 [11-EJS651]
  5. G. Chen, M. Maggioni, Multiscale Geometric and Spectral Analysis of Plane Arrangements, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (June, 2011), Colorado Springs, CO
  6. G. Chen, M. Maggioni, Multiscale Geometric Dictionaries for Point-Cloud Data, in Proceedings of the 9th International Conference on Sampling Theory and Applications (SampTA) (May, 2011), Singapore
  7. G. Chen, A.V. Little, M. Maggioni and L. Rosasco, Some Recent Advances in the Geometric Analysis of Point Clouds in High Dimensions, in Wavelets and Multiscale Analysis (March, 2011), pp. 199-225, Springer [available here]
  8. E. Monson, G. Chen, R. Brady and M. Maggioni, Data Representation and Exploration with Geometric Wavelets, in Proceedings of IEEE Symposium on Visual Analytics Science and Technology (VAST) (October, 2010), pp. 243 - 244, Salt Lake City, UT
  9. G. Chen, M. Maggioni, Multiscale Geometric Wavelets for the Analysis of Point Clouds, in Proceedings of the 44th Annual Conference on Information Sciences and Systems (CISS) (March, 2010), pp. 1-6, Princeton, NJ, ISBN 978-1-4244-7416-5
  10. G. Chen and G. Lerman, Motion Segmentation for Hopkins 155 Database via SCC, 2009 ICCV Workshop on Dynamical Vision (September, 2009) [0909.1608v1]
  11. G. Chen, S. Atev and G. Lerman, Kernel Spectral Curvature Clustering (KSCC), 2009 ICCV Workshop on Dynamical Vision (September, 2009) [0909.1605v1]
  12. G. Chen and G. Lerman, Spectral Curvature Clustering (SCC), International Journal of Computer Vision, vol. 81 (2009), pp. 317-330 [pdf]
  13. G. Chen and G. Lerman, Foundations of a Multi-way Spectral Clustering Framework for Hybrid Linear Modeling, Foundations of Computational Mathematics (2009) [pdf]
  14. G. Lerman, J. McQuown, A. Blais, B. Dynlacht, G. Chen and B. Mishra, Functional Genomics via Multiscale Analysis: Application to Gene Expression and ChIP-on-chip Data, Bioinformatics, vol. 23 no. 3 (2007), pp. 314-320 [pdf]
  15. G. Chen, G. Lerman and R. Chartrand, Multiscale Analysis for Muon-Scattering Data, Technical Report LA-UR 06-7504 (2006), Los Alamos National Laboratory

Chen, Jing

  1. J. Chen, A. T. Layton, and A. Edwards, A mathematical model of oxygen transport in the rat outer medulla: I. Model formulation and baseline results., Am J Physiol Renal Physiol, vol. 297 (2009), pp. F517-F536
  2. J. Chen, A. Edwards, and A. T. Layton, A mathematical model of oxygen transport in the rat outer medulla: II. Impacts of outer medullary architecture., Am J Physiol Renal Physiol, vol. 297 (2009), pp. F537-F548
  3. J. Chen, A. Edwards, and A. T. Layton, Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla., Am J Physiol Renal Physiol (2009)
  4. J. Chen and R. A. Adomaitis, An object-oriented framework for modular chemical process simulation with semiconductor processing applications, Computers and Chemical Engineering, vol. 30 (2006), pp. 1354-1380

Chuang, Jer-Chin (Luke)

  1. Jer-Chin Chuang, Minimal Rational and Integral Solutions to the Box Problem, The College Mathematics Journal (2008)  [author's comments]
  2. Jer-Chin Chuang, Analytic subdivision invariants (2008) [arXiv:0807.4235]
  3. Jer-Chin Chuang, Subdivisions and transgressive chains (2008) [arXiv:0806.0390]

Cornwell, Christopher R

  1. C.R. Cornwell, Knot contact homology and representations of knot groups (2013) [arXiv:1303.4943]  [abs]
  2. C.R. Cornwell, KCH representations, augmentations, and A-polynomials (2013) [arXiv:1310.7526]  [abs]
  3. C.R. Cornwell, A polynomial invariant for links in lens spaces, J. Knot Theory and its Ramifications, vol. 21 no. 2 (2012) [math.GT/1002.1543]
  4. C.R. Cornwell, Bennequin type inequalities in lens spaces, International Mathematics Research Notices (2011) [math.GT/1002.1546], [doi]
  5. C.R. Cornwell, Counting fundamental paths in certain Garside semigroups, Journal of Knot Theory and its Ramifications (2008)

Daubechies, Ingrid

  1. B. Cornelis, T.Ruzic, E.Gezels, A.Dooms, A.Pizurica, L.Platisa, J.Cornelis, M. Martens, M.DeMey, I.Daubechies, Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece, Signal Processing, vol. 93 (2013), pp. 605-619, Elsevier [S0165168412002526]  [abs]
  2. I. Daubechies, Developing Mathematical Tools to Investigate Art, in Bridges 2012 Proceedings, edited by Robert Bosch, Douglas McKenna, and Reza Sarhangi (2012), Jacobs Publishing, http://www.mathartfun.com  [abs]
  3. G. Polatkan, M. Zhou, L. Carin, D. Blei, and I. Daubechies, A Bayesian nonparametric approach to image super-resolution (2012) [5019]  [abs]
  4. D. Boyer, Y. Lipman, E. St. Clair, J. Puente, T. Funkhouser, B. Patel, J. Jernvall, I. Daubechies, Algorithms to automatically quantify the geometric similarity of anatomical surfaces, Proceedings of the National Academy of Sciences, vol. 108 no. 45 (November 8, 2011), pp. 18221-6, ISSN 1091-6490 [arXiv:1110.3649 [math.NA]]  [abs]
  5. J.M. Bunn, D.M. Boyer, Y. Lipman, E.M. St. Clair, J. Jernvall and I. Daubechies, Comparing Dirichlet Normal Surface Energy of Tooth Crowns, a New Technique of Molar Shape Quantification for Dietary Inference, With Previous Methods in Isolation and in Combination, Am. J. Physical Anthropology, vol. 145 (2011), pp. 247-261  [abs]
  6. Frederik J. Simons, Ignace Loris, Guust Nolet, Ingrid C. Daubechies, Sergey Voronin, J. Stephen Judd, Philip A. Vetter, Jean Charléty & Cédric Vonesch, Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity, Geoph. J. Int. (2011) (doi: 10.1111/j.1365-246X.2011.05190.x.)
  7. Y.Lipman, I. Daubechies, Conformal Wasserstein distances: comparing surfaces in polynomial time, Advances in Mathematics, vol. 227 (2011), pp. 1047-1077 [arXiv:1103.4408v1 [math.DG]]  [abs]
  8. B. Cornelis, A. Dooms, I. Daubechies and P. Schelkens, Report on Digital Image Processing for Art Historians, Sampling Theory and Applications, SampTA '09, Marseille France, May 18-22, 2009 (2011)
  9. Yaron Lipman, Reema Al-Aifari, Ingrid Daubechies, The continuous Procrustes distance between two surfaces, Communications in Pure and Applied Mathematics (2011) (accepted for publication.) [arXiv:1106.4588v2 [math.DG]]  [abs]
  10. Yaron Lipman, Jesus Puente, Ingrid Daubechies, Conformal Wasserstein Distance: II. Computational Aspects and Extensions, Mathematics of Computation (2011) [arXiv:1103.4681v2 [math.NA]]  [abs]
  11. Frederik J. Simons, Ignace Loris, Eugene Brevdo, Ingrid C. Daubechies, Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion, Proc. SPIE, 2011, 8138 (81380X) doi:10.1117/12.825730 (2011)

Degeratu, Anda

  1. A. Degeratu and K. Wendland, Friendly giant meets pointlike instantons? On a new conjecture by John McKay, to appear in LMS Lecture Notes Series (59 pages) (February, 2006)  [abs]
  2. A. Degeratu and M.Stern, The Positive Mass Conjecture for Non-Spin Manifolds (December 7, 2004) (has a sign error in Proposition 6.5.) [math.DG/0412151]
  3. A. Degeratu, Flops of Crepant Resolutions, Proceedings of the 10th Gokova Geometry and Topology Conference (2004) (pdf.)  [abs]
  4. A. Degeratu, Geometrical McKay Correspondence for Isolated Singularities (2003) (revised version.) [math.DG/0302068]  [abs] [author's comments]
  5. A. Degeratu, Eta Invariants and Molien series for Unimodular Groups, in PhD Thesis, MIT (2001) (pdf.)

Di Cerbo, Luca F.

  1. G. Di Cerbo, L.F. Di Cerbo, A sharp cusp count for complex hyperbolic surfaces and related results, Arch. Math. (Basel) (July, 2014) [arXiv:1312.5368]
  2. L.F. Di Cerbo, Generic Properties of Homogeneous Ricci Solitons, Adv. Geom., vol. 14 no. 2 (2014), pp. 225-237 [arXiv:0711.0465]
  3. L.F. Di Cerbo, Classification of Toroidal Compactifications with 3\bar{c}_{2}=\bar{c}^{2}_{1} and \bar{c}_{2}=1 (September, 2013) [arXiv:1309.5516]
  4. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (February, 2013) [arXiv:1210.0218]
  5. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (February, 2013) [arXiv:1212.0501v5]
  6. L.F. Di Cerbo, Seiberg-Witten equations on surfaces of logarithmic general type, Internat. J. Math., vol. 24 no. 9 (2013), pp. 23 [arXiv:1112.0694]
  7. L.F. Di Cerbo, On K\"ahler-Einstein surfaces with edge singularities (May, 2012) [arXiv:1205.3203]
  8. L.F. Di Cerbo, Finite-volume complex surfaces without cuspidal Einstein metrics, Ann. Glob. Anal. Geom., vol. 41 no. 3 (2012), pp. 371-380 [available here]
  9. L.F. Di Cerbo, Finite-volume complex-hyperbolic surfaces, their toroidal compactifications, and geometric applications, Pacific J. Math., vol. 255 no. 2 (2012), pp. 305-315 [arXiv:1101.4263]
  10. L.F. Di Cerbo, Aspects of the Seiberg-Witten equations on manifolds with cusps (May 5, 2011) [PDF[author's comments]
  11. L.F. Di Cerbo, Seiberg-Witten equations on certain manifolds with cusps, New York J. Math. no. 17 (2011), pp. 491-512 [html]
  12. L.F. Di Cerbo, A gap property for the growth of closed 3-manifold groups, Geom. Dedicata no. 143 (2009), pp. 193-199 [10.1007%2Fs10711-009-9383-0#page-1]
  13. L.F. Di Cerbo, M. Disconzi, Yamabe solitons, determinant of the Laplacian and the uniformization theorem for Riemann surfaces, Lett. Math. Phys. no. 83 (2008), pp. 13-18 [10.1007%2Fs11005-007-0195-6#page-1]
  14. L.F. Di Cerbo, A Ricci nilsoliton is nongradient (December, 2007)  [author's comments]
  15. L.F. Di Cerbo, Eigenvalues of the Laplacian under the Ricci flow, Rend. Mat. Appl., vol. VII no. 27 (2007), pp. 183-195
  16. F. Calogero, R. Droghei, L.F. Di Cerbo, On isochronous Shabat-Yamilov-Toda lattices: equilibrium configurations, behavior in their neighborhood, Diophantine relations and conjectures, Phys. Lett. A no. 355 (2006), pp. 262-270
  17. F. Calogero, R. Droghei, L.F. Di Cerbo, On isochronous Bruschi-Ragnisco-Ruijsenaars-Toda lattices: equilibrium configurations, behavior in their neighborhood, Diophantine relations and conjectures, J. Phys. A: Math. Gen. no. 39 (2006), pp. 313-325

Diaz Espinosa, Oliver R

  1. with de la Llave, Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations, in Holomorphic dynamics and renormalization., Fields Inst. Commun., vol. 53 (2008), pp. 331--359, American Mathematical Society
  2. with A. de Bouard, W. Craig, P. Guyenne and C. Sulem, Long wave expansions for water waves over random topography, Nonlinearity, vol. 21 no. 9 (2008), pp. 2143--2178
  3. with with. de la Llave, R, Renormalization and central limit theorem for critical dynamical systems with weak external noise, J. Modern Dynamics, vol. 1 no. 3 (2007), pp. 477-543

Durrett, Rick

  1. C. Varghese and R. Durrett, Phase transition in the quadratic contact process on complex networks, Physical Review E, vol. 87 (2013), pp. paper 062819
  2. Feng Shi, Peter Mucha, and R. Durrett, Multi-opinion coevolving voter model with infinitely many phase transitions, Physical Review E (2013)
  3. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)
  4. R. Durrett, T. Liggett, Y. Zhang, The contact process with fast voting, Electronic Journal of Probability (2013)
  5. Andreas Aristotelos and R. Durrett, Chemical evolutionary games, Theoretical Population Biology (2013)
  6. R. Durrett and S. Chatterjee, A first order phase transition in the threshold theta contact process on random r-regular graphs and trees, Stoch. Proc. Appl., vol. 123 (2013), pp. 561-578
  7. K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer, J. Theor. Biol., vol. 314 (2013), pp. 10-15
  8. J.T. Cox, R. Durrett, E. Perkins, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  9. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (2013)
  10. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
  11. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (2012)
  12. R. Durrett and D. Remenik, Evolution of dispersal distance, J. Mathematical Biology, vol. 64 (2012), pp. 657-666
  13. R. Durrett, Population genetics of neutral mutations in exponentially growing cancer cell populations, Annals of Applied Probability, vol. 23 (2012), pp. 230-250
  14. R. Durrett, J.P. Gleeson, A.L. Lloyd, P.J. Mucha, Feng Shi, D. Sivakoff, J.E.S. Socoloar, and C. Varghese, Graph fission in an evolving voter model, Proceedings of the National Academy of Science, vol. 109 (2012), pp. 3682-3687
  15. R. Durrett and J. Mayberry, Traveling waves of selective sweeps, The Annals of Applied Probability, vol. 21 (2011), pp. 699--744, ISSN 1050-5164 [MR2807971]
  16. S. Chatterjee and R. Durrett, Persistence of activity in threshold contact processes, an ``annealed approximation'' of random {B}oolean networks, Random Structures and Algorithms, vol. 39 no. 2 (2009), pp. 228--246, ISSN 1042-9832 [MR2850270]
  17. R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Intratumor heterogeneity in evolutionary models of tumor progression, Genetics, vol. 188 (2011), pp. 461-477
  18. R. Durrett and Shirshendu Chatterjee, Persistence of activity in random Boolean networks, Random Structures and Algorithms, vol. 39 (2011), pp. 228-246
  19. R. Durrett, Probability: Theory and Examples, 4th Edition (2010), Cambridge U Press
  20. R. Durrett, Some features of the spread of epidemics and opinions on a random graph, Proc. Natl. Acad. Sci., vol. 107 (2010), pp. 4491-4498
  21. R. Durrett and Stephen Moseley, Evolution of resistance and progression to disease during clonal expansion of cancer, Theor. Pop. Biol., vol. 77 (2010), pp. 42-48
  22. R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Evolutionary dynamics of tumor progression with random fitness values, Theor. Pop. Biol., vol. 78 (2010), pp. 54-66 [math.PR/1003.1927]
  23. R. Durrett and J. Mayberry, Evolution in predator-prey systems, Stochastic Processes and their Applications, vol. 120 no. 7 (2010), pp. 1364--1392, ISSN 0304-4149 [MR2011d:92087]
  24. R. Durrett and Daniel Remenik, Brunet-Derrida particle systems, free boundary problems and Weiner-Hopf equations, Annals of Probability, vol. 39 (2010), pp. 2043-2078
  25. R. Durrett and Shirshendu Chatterjee, Asymptotic behavior of Aldous' gossip process, Annals of Applied Probability, vol. 21 (2010), pp. 2447-2482 [math.PR/1005.1608]
  26. R. Durrett, Elementary Probability for Applications, 4th Edition (2009), pp. x+243, Cambridge University Press, Cambridge, ISBN 978-0-521-86756-6 [MR2537423 (2010i:60003)]
  27. Rick Durrett, Deena Schmidt, and Jason Schweinsberg, A waiting time problem arising from the study of multi-stage carcinogenesis, The Annals of Applied Probability, vol. 19 (2009), pp. 676--718, ISSN 1050-5164 [MR2521885 (2010f:60243)]
  28. R. Durrett, Special invited paper: Coexistence in stochastic spatial models, The Annals of Applied Probability, vol. 19 (2009), pp. 477--496, ISSN 1050-5164 [MR2521876 (2010g:60213)]
  29. R. Durrett and Daniel Remenik, Chaos in a spatial epidemic model, The Annals of Applied Probability, vol. 19 (2009), pp. 1656--1685, ISSN 1050-5164 [MR2010k:60322]
  30. Ben Chan, R. Durrett and Nicolas Lanchier, Coexistence in a particle system with seasons, Ann. Appl. Probab., vol. 19 (2009), pp. 1921-1943
  31. R. Durrett and Lea Popovic, Degenerate diffusions arising from gene duplication models, Ann. Appl. Probab., vol. 19 (2009), pp. 15-48 [MR2521876 (2010g:60213)]
  32. R. Durrett and Nicolas Lanchier, Coexistence in host-pathogen systems, Stochastic Processes and their Applications, vol. 118 (2008), pp. 1004--1021, ISSN 0304-4149 [MR2418255 (2009g:60131)]
  33. Nathanael Berestycki and R. Durrett, Limiting behavior for the distance of a random walk, Electronic Journal of Probability, vol. 13 (2008), pp. 374--395, ISSN 1083-6489 [MR2386737 (2009d:60130)]
  34. R. Durrett and Mateo Restrepo, One-dimensional stepping stone models, sardine genetics and Brownian local time, The Annals of Applied Probability, vol. 18 (2008), pp. 334--358, ISSN 1050-5164 [MR2380901 (2008j:60229)]
  35. R. Durrett and Deena Schmidt, Waiting for two mutations with applications to regulatory sequence evolution and the limits of Darwinian evolution, Genetics, vol. 180 (2008), pp. 1510-1509
  36. E. Huerta-Sanchez, R. Durrett, and C. Bustamante, Population genetics of polymorphism and divergence under fluctuating selection, Genetics, vol. 178 (2008), pp. 325-377
  37. R. Durrett and Iljana Zahle, On the width of hybrid zones, Stochastic Processes and their Applications, vol. 117 (2007), pp. 1751--1763, ISSN 0304-4149 [MR2010d:60215]
  38. R. Durrett and Paul Jung, Two phase transitions for the contact process on small worlds, Stochastic Processes and their Applications, vol. 117 (2007), pp. 1910--1927, ISSN 0304-4149 [MR2437735 (2009h:60162)]
  39. R. Durrett and Iljana Zahle, On the width of hybrid zones, Stochastic Processes and their Applications, vol. 117 (2007), pp. 1751--1763, ISSN 0304-4149 [MR2437727 (2010d:60215)]
  40. R. Durrett and Deena Schmidt, Waiting for regulatory sequences to appear, The Annals of Applied Probability, vol. 17 (2007), pp. 1--32, ISSN 1050-5164 [MR2292578 (2007j:92034)]
  41. R. Durrett, Random Graph Dynamics, Cambridge Series in Statistical and Probabilistic Mathematics (2007), pp. x+212, Cambridge University Press, Cambridge, ISBN 978-0-521-86656-9; 0-521-86656-1 [MR2271734 (2008c:05167)]
  42. T. York, R. Durrett, and R. Nielsen, Dependence of paracentric inversion rate on tract length, BioMed Central Bioinformatics, vol. 8 (2007) (paper 115.)
  43. R. Sainudiin, R. Durrett, and A. Clark, Simple models of genomic variation in human SNP density, BioMed Central Genomics, vol. 8 (2007) (paper 146.)
  44. Arkendra De and R. Durrett, Spatial structure of the human population contributes to the slow decay of linkage diseqeuilibrium and shifts the site frequency spectrum, Genetics, vol. 176 (2007), pp. 969-981
  45. E. Huerta-Sanchez and R. Durrett, Wagner's canalization model, Theor. Pop. Biol., vol. 71 (2007), pp. 121-130
  46. Ben Chan and R. Durrett, A new coexistence result for competing contact processes, The Annals of Applied Probability, vol. 16 (2006), pp. 1155--1165, ISSN 1050-5164 [MR2260060 (2008h:60400)]
  47. Nathanael Berestycki and R. Durrett, A phase transition in the random transposition random walk, Probability Theory and Related Fields, vol. 136 (2006), pp. 203--233, ISSN 0178-8051 [MR2240787 (2007i:60009)]
  48. R. Durrett, Probability Models of DNA Sequence Evolution, 2nd Edition (2006), Springer
  49. R. Durrett and Jason Schweinsberg, Power laws for family sizes in a duplication model, The Annals of Probability, vol. 33 no. 6 (2005), pp. 2094--2126, ISSN 0091-1798 [MR2006j:60092]
  50. R. Durrett and Jason Schweinsberg, A coalescent model for the effect of advantageous mutations on the genealogy of a population, Stochastic Processes and their Applications, vol. 115 (2005), pp. 1628--1657, ISSN 0304-4149 [MR2165337 (2006h:92026)]
  51. R. Durrett, Leonid Mytnik and Ed Perkins, Competing super-Brownian motions as limits of interacting particle systems, Electronic Journal of Probability, vol. 10 (2005), pp. no. 35, 1147--1220 (electronic), ISSN 1083-6489 [MR2164042 (2006f:60052)]
  52. R. Durrett, Genome rearrangement, in Statistical methods in molecular evolution, Stat. Biol. Health (2005), pp. 307--323, Springer, New York [MR2161835 (2006f:92021)]
  53. Jason Schweinsberg and R. Durrett, Random partitions approximating the coalescence of lineages during a selective sweep, The Annals of Applied Probability, vol. 15 (2005), pp. 1591--1651, ISSN 1050-5164 [MR2152239 (2006c:92012)]
  54. Jonah Blasiak and R. Durrett, Random Oxford graphs, Stochastic Processes and their Applications, vol. 115 (2005), pp. 1257--1278, ISSN 0304-4149 [MR2152374 (2006j:60008)]
  55. Iljana Zahle, Ted Cox, and R. Durrett, The stepping stone model. II. Genealogies and the infinite sites model, The Annals of Applied Probability, vol. 15 (2005), pp. 671--699, ISSN 1050-5164 [MR2114986 (2006d:60157)]
  56. T.L. York, R. Durrett, S. Tanksley, and R. Nielsen, Bayesian and maximum likelihood estimation of genetic maps, Gentical Research, vol. 85 (2005), pp. 159-168
  57. R. Durrett, Essentials of Stochastic Processes (1998), Springer-Verlag
  58. R. Durrett, Stochastic Calculus: A Practrical Introduction (1996), CRC Press
  59. R. Durrett, Lecture Notes on Particle Systems and Percolation (1988), Wadsworth
  60. R. Durrett, Brownian Motion and Martingales in Analysis (1984), Wadsworth

Edelsbrunner, Herbert

  1. D. Letscher, A. Zomorodian and H. Edelsbrunner, Topological persistence and simplification, Discrete Comput. Geom. (2002)
  2. A. Zomorodian and H. Edelsbrunner, Fast software for box intersections, Internat. J. Comput. Geom. Appl. (2002)
  3. H. Edelsbrunner, Geometry and Topology for Mesh Generation (2001), Cambridge Univ. Press, England
  4. H. Edelsbrunner, 180 wrapped tubes, J. Univ. Comput. Sci., vol. 7 (2001), pp. 379-399
  5. H.-L. Cheng, T. K. Dey, J. Sullivan and H. Edelsbrunner, Dynamic skin triangulation, The Micha Sharir Birthday Issue, eds.P. Agarwal, D. Halperin and R. Pollack, Discrete Comput. Geom., vol. 25 (2001), pp. 525-568
  6. H.-L. Cheng, P. Fu and H. Edelsbrunner, Shape space from deformation, Comput. Geom. Theory Appl., vol. 19 (2001), pp. 191-204
  7. S.-W. Cheng, P. Fu, P. Lam and H. Edelsbrunner, Design and analysis of planar shape deformation, Comput. Geom. Theory Appl., vol. 19 (2001), pp. 205-218
  8. H. Edelsbrunner, Triangulations and meshes in computational geometry, Acta Numerica (2000), pp. 133-213
  9. D. R. Grayson and H. Edelsbrunner, Edgewise subdivision of a simplex, Discrete Comput. Geom., vol. 24 (2000), pp. 707-719
  10. S.-W. Cheng, T. K. Dey, M. A. Facello, S.-H. Teng and H. Edelsbrunner, Sliver exudation, J. Assoc. Comput. Mach., vol. 47 (2000), pp. 273-277
  11. R. Waupotitsch and H. Edelsbrunner, Adaptive simplicial grids from cross-sections of monotone complexes, Internat. J. Comput. Geom. Appl., vol. 10 (2000), pp. 267-284
  12. H. Edelsbrunner, Spielereien mit Kreisen und Kugeln. Zum Thema Form und Verformung, in Zur Kunst des formalen Denkens,153-171, edited by R. E. Burkard, W. Maas und P. Weibel (2000), Passagen Verlag, Wien, Austria
  13. T. K. Dey, S. Guha, D. V. Nekhayev and H. Edelsbrunner, Topology preserving edge contraction, Publ. Inst. Math. (Beograd) (N. S.), vol. 66 (1999), pp. 23-45
  14. H. Edelsbrunner, Deformable smooth surface design, Discrete Comput. Geom., vol. 21 (1999), pp. 87-115
  15. T. K. Dey, S. Guha and H. Edelsbrunner, Computational topology, in Advances in Discrete and Computational Geometry, 109-143, edited by B. Chazelle, J. E. Goodman and R. Pollack (1999), Contemporary Mathematics 223, AMS, Providence,
  16. J. Liang, C. Woodward and H. Edelsbrunner, Anatomy of protein pockets and cavities: measurement of binding site geometry and implications for ligand design, Protein Science, vol. 7 (1998), pp. 1884-1897
  17. J. Liang, P. Fu, P. V. Sudhakar, S. Subramaniam and H. Edelsbrunner, Analytic shape computation of macromolecules II: inaccessible cavities in proteins, Proteins: Structure, Function, and Genetics, vol. 33 (1998), pp. 18-29
  18. J. Liang, P. Fu, P. V. Sudhakar, S. Subramaniam and H. Edelsbrunner, Analytic shape computation of macromolecules I: molecular area and volume through alpha shape, Proteins: Structure, Function, and Genetics, vol. 33 (1998), pp. 1-17
  19. M. Facello, J. Liang and H. Edelsbrunner, On the definition and the construction of pockets in macromolecules, Discrete Appl. Math., vol. 88 (1998), pp. 83-102
  20. U. Axen and H. Edelsbrunner, Auditory Morse analysis of triangulated manifolds, in Mathematical Visualization, 223-236, edited by H.-C. Hege and K. Polthier (1998), Springer-Verlag, Berlin, Germany
  21. H. Edelsbrunner, Geometry for modeling biomolecules, in Robotics: The Algorithmic Perspective, The Third Workshop on the Algorithmic Foundations of Robotics, 265-277, edited by P. Agarwal, L. Kavraki and M. Mason (1998), A. K. Peters, Natick, Massachusetts
  22. R. Waupotitsch and H. Edelsbrunner, A combinatorial approach to cartograms, J. Comput. Geom. Theory Appl., vol. 7 (1997), pp. 343-360
  23. E. A. Ramos and H. Edelsbrunner, Inclusion-exclusion complexes for pseudodisk collections, Discrete Comput. Geom., vol. 17 (1997), pp. 287-306
  24. P. Valtr, E. Welzl and H. Edelsbrunner, Cutting dense point sets in half, Discrete Comput. Geom., vol. 17 (1997), pp. 243-255
  25. N. R. Shah and H. Edelsbrunner, Triangulating topological spaces, Internat. J. Comput. Geom. Appl., vol. 7 (1997), pp. 365-378
  26. N. Akkiraju, P. Fu, J. Qian and H. Edelsbrunner, Viewing geometric protein structures from inside a cave, IEEE Comput. Graphics Appl., vol. 16 (1996), pp. 58-61
  27. N. Akkiraju and H. Edelsbrunner, Triangulating the surface of a molecule, Discrete Appl. Math., vol. 71 (1996), pp. 5-22
  28. N. R. Shah and H. Edelsbrunner, Incremental topological ipping works for regular triangulations, Algorithmica, vol. 15 (1996), pp. 223-241
  29. B. Chazelle, L. J. Guibas, M. Sharir, J. Stolfi and H. Edelsbrunner, Lines in space: combinatorics and algorithms, Algorithmica, vol. 15 (1996), pp. 428-447
  30. H. Edelsbrunner, Algorithms in Combinatorial Geometry (1995), Springer-Verlag, Heidelberg, Germany, 1987 (Translated into Japanese by Hiroshi Imai and Keiko Imai, Kyoritsu Shuppan, Japan.)
  31. C. J. A. Delfinado and H. Edelsbrunner, An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere, Comput. Aided Geom. Design, vol. 17 (1995), pp. 771-784
  32. H. Edelsbrunner, The union of balls and its dual shape, in Laszlo Fejes Toth Festschrift, edited by I. Barany and J. Pach, Discrete Comput. Geom., vol. 13 (1995), pp. 415-440
  33. B. Chazelle, M. Grigni, L. J. Guibas, M. Sharir, E. Welzl and H. Edelsbrunner, Improved bounds on weak " -nets for convex sets, Discrete Comput. Geom., vol. 13 (1995), pp. 1-15
  34. T. R. Dey and H. Edelsbrunner, Counting triangle crossings and halving planes, Discrete Comput. Geom., vol. 12 (1994), pp. 281-289
  35. E. P. Mucke and H. Edelsbrunner, Three-dimensional alpha shapes, ACM Trans. Graphics, vol. 13 (1994), pp. 43-72
  36. B. Chazelle, M. Grigni, L. J. Guibas, J. E. Hershberger, M. Sharir, J. Snoeyink and H. Edelsbrunner, Ray shooting in polygons using geodesic triangulations, Algorithmica, vol. 12 (1994), pp. 54-68
  37. B. Chazelle, L. J. Guibas, M. Sharir and H. Edelsbrunner, Algorithms for bichromatic line segment problems and polyhedral terrains, Algorithmica, vol. 11 (1994), pp. 116-132
  38. B. Chazelle, L. J. Guibas, J. E. Hershberger, R. Seidel, M. Sharir and H. Edelsbrunner, Selecting heavily covered points, SIAM J. Comput., vol. 23 (1994), pp. 1138-1151
  39. H. Edelsbrunner, Computational geometry, in Chapter 1 in Current Trends in Theoretical Computer Science, Essays and Tutorials, 1-48, edited by G. Rozenberg and A. Salomaa (1993), World Scientific, Singapore
  40. B. Chazelle, L. J. Guibas, M. Sharir and H. Edelsbrunner, Diameter, width, closest line pair, and parametric searching, Discrete Comput. Geom., vol. 10 (1993), pp. 183-196
  41. T. S. Tan and H. Edelsbrunner, An upper bound for conforming Delaunay triangulations, Discrete Comput. Geom., vol. 10 (1993), pp. 197-213
  42. T. S. Tan and H. Edelsbrunner, A quadratic time algorithm for the minmax length triangulation, SIAM J. Comput., vol. 22 (1993), pp. 527-551
  43. M. Bern, D. Eppstein, S. Mitchell, T. S. Tan and H. Edelsbrunner, Edge insertion for optimal triangulations, Discrete Comput. Geom., vol. 10 (1993), pp. 47-65
  44. B. Chazelle, L. J. Guibas, M. Sharir, J. Snoeyink and H. Edelsbrunner, Computing a face in an arrangement of line segments and related problems, SIAM J. Comput., vol. 22 (1993), pp. 1286-1302
  45. R. Seidel, M. Sharir and H. Edelsbrunner, On the zone theorem for hyperplane arrangements, SIAM J. Comput., vol. 22 (1993), pp. 418-429
  46. H. Edelsbrunner, Geometric algorithms, in Chapter 2.9 in Handbook of Convex Geometry, 699-735, edited by P. Gruber and J. Wills (1992), North-Holland
  47. A. Aggarwal, P. Raghavan, P. Tiwari and H. Edelsbrunner, Optimal time bounds for some proximity problems in the plane, Inform. Process. Lett., vol. 42 (1992), pp. 55-60
  48. T. S. Tan, R. Waupotitsch and H. Edelsbrunner, An O log time algorithm for the minmax angle triangulation, SIAM J. Sci. Stat. Comput., vol. 13 (1992), pp. 994-1008
  49. B. Aronov, L. J. Guibas, M. Sharir and H. Edelsbrunner, The number of edges of many faces in a line segment arrangement, Combinatorica, vol. 12 (1992), pp. 261-274
  50. B. Chazelle, L. J. Guibas, R. Pollack, R. Seidel, M. Sharir, J. Snoeyink and H. Edelsbrunner, Counting and cutting cycles of lines and rods in space, Computational Geometry: Theory and Applications, vol. 1 (1992), pp. 305-323
  51. L. J. Guibas, J. Pach, R. Pollack, R. Seidel, M. Sharir and H. Edelsbrunner, Arrangements of curves in the plane - topology, combinatorics, and algorithms, Theoret. Comput. Sci., vol. 92 (1992), pp. 319-336
  52. B. Chazelle and H. Edelsbrunner, An optimal algorithm for intersecting line segments in the plane, J. Assoc. Comput. Mach., vol. 39 (1992), pp. 1-54
  53. H. Edelsbrunner, Lines in space - a collection of results, in Discrete and Computational Geometry, 77-93, DIAMCS Series in Discrete Mathematics and Theoretical Computer Science, vol. 6, edited by R. Pollack and W. Steiger (1991)
  54. M. Sharir and H. Edelsbrunner, A hyperplane incidence problem with applications to counting distances, in Applied Geometry and Discrete Mathematics The Victor Klee Festschrift, 253-263, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, edited by P. Gritzmann and B. Sturmfels (1991)
  55. B. Aronov, B. Chazelle, L. J. Guibas, M. Sharir, R. Wenger and H. Edelsbrunner, Points and triangles in the plane and halving planes in space, Discrete Comput. Geom., vol. 6 (1991), pp. 435-442
  56. P. K. Agarwal, O. Schwarzkopf, E. Welzl and H. Edelsbrunner, Euclidean minimum spanning trees and bichromatic closest pairs, Discrete Comput. Geom., vol. 6 (1991), pp. 407-422
  57. W. Shi and H. Edelsbrunner, An O log time algorithm for the three-dimensional convex hull problem, SIAM J. Comput., vol. 20 (1991), pp. 259-269
  58. B. Chazelle, L. J. Guibas, M. Sharir and H. Edelsbrunner, A singly exponential stratification scheme for real semi-algebraic varieties and its applications, Theoret. Comput. Sci., vol. 84 (1991), pp. 77-105
  59. P. Hajnal and H. Edelsbrunner, A lowerbound on thenumber of unit distances between the vertices of a convex polygon, J. Combin. Theory Ser. A, vol. 56 (1991), pp. 312-316
  60. H. Edelsbrunner, Corrigendum, J. Comput. System Sci., vol. 42 (1991), pp. 249-251
  61. D. P. Dobkin, C. K. Yap and H. Edelsbrunner, Probing convex polytopes, in Autonomous Robot Vehicles, 328-341, edited by I. J. Cox and G. T. Wilfong (1990), Springer-Verlag, New York
  62. M. H. Overmars, E. Welzl, I. Ben-Arroyo Hartman, J. A. Feldman and H. Edelsbrunner, Ranking intervals under visibility constraints, Internat. J. Comput. Math., vol. 34 (1990), pp. 129-144
  63. F. P. Preparata, D. B. West and H. Edelsbrunner, Tetrahedrizing point sets in three dimensions, J. Symbolic Comput., vol. 10 (1990), pp. 335-347
  64. L. J. Guibas, M. Sharir and H. Edelsbrunner, The complexity ofmany cells in arrangements of planes and related problems, Discrete Comput. Geom., vol. 5 (1990), pp. 197-216
  65. L. J. Guibas, M. Sharir and H. Edelsbrunner, The complexity and construction of many faces in arrangements of lines and of segments, Discrete Comput. Geom., vol. 5 (1990), pp. 161-196
  66. K. L. Clarkson, L. G. Guibas, M. Sharir, E. Welzl and H. Edelsbrunner, Combinatorial complexity bounds for arrangements of curves and spheres, Discrete Comput. Geom., vol. 5 (1990), pp. 99-160
  67. H. Edelsbrunner, An acyclicity theorem for cell complexes in d dimensions, Combinatorica, vol. 10 (1990), pp. 251-260
  68. D. L. Souvaine and H. Edelsbrunner, Computing least median of squares regression lines and guided topological sweep, J. Amer. Statist. Assoc., vol. 85 (1990), pp. 115-119
  69. D. P. Dobkin, M. H. Overmars and H. Edelsbrunner, Searching for empty convex polygons, Algorithmica, vol. 5 (1990), pp. 561-571
  70. E. P. Mucke and H. Edelsbrunner, Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms, ACM Trans. Graphics, vol. 9 (1990), pp. 66-104
  71. A. D. Robison, X. J. Shen and H. Edelsbrunner, Covering convex sets with non-overlapping polygons, Discrete Math., vol. 81 (1990), pp. 153-164
  72. M. Sharir and H. Edelsbrunner, The maximum number of ways to stab n convex nonintersecting sets in the plane is 2 n, Discrete Comput. Geom., vol. 5 (1990), pp. 35-42
  73. L. J. Guibas, J. Hershberger, R. Seidel, M. Sharir, J. Snoeyink, E. Welzl and H. Edelsbrunner, Implicitly representing arrangements of lines or segments, Discrete Comput. Geom., vol. 4 (1989), pp. 433-466
  74. L. J. Guibas, J. Hershberger, J. Pach, R. Pollack, R. Seidel, M. Sharir, J. Snoeyink and H. Edelsbrunner, On arrangements of Jordan arcs with three intersections per pair, Discrete Comput. Geom., vol. 4 (1989), pp. 523-539
  75. F. F. Yao, D. P. Dobkin, M. S. Paterson and H. Edelsbrunner, Partitioning space for range queries, SIAM J. Comput., vol. 18 (1989), pp. 371-384
  76. N. Hasan, R. Seidel, X. J. Shen and H. Edelsbrunner, Circles through two points that always enclose many points, Geometriae Dedicata, vol. 32 (1989), pp. 1-12
  77. H. Edelsbrunner, The upper envelope of piecewise linear functions: tight bounds on the number of faces, Discrete Comput. Geom., vol. 4 (1989), pp. 337-343
  78. L. J. Guibas, M. Sharir and H. Edelsbrunner, The upper envelope of piecewise linear functions: algorithms and applications, Discrete Comput. Geom., vol. 4 (1989), pp. 311-336
  79. G. Rote, E. Welzl and H. Edelsbrunner, Testing the necklace condition for shortest tours and optimal factors in the plane, Theoret. Comput. Sci., vol. 66 (1989), pp. 157-180
  80. B. Chazelle, L. J. Guibas and H. Edelsbrunner, The complexity of cutting complexes, Discrete Comput. Geom., vol. 4 (1989), pp. 139-182
  81. S. S. Skiena and H. Edelsbrunner, On the number of furthest neighbour pairs in a point set, Amer. Math. Monthly, vol. 96 (1989), pp. 614-618
  82. L. J. Guibas and H. Edelsbrunner, Topologically sweeping an arrangement, J. Comput. System Sci., vol. 38 (1989), pp. 165-194
  83. S. S. Skiena and H. Edelsbrunner, Probing convex polygons with x-rays, SIAM J. Comput., vol. 17 (1988), pp. 870-882
  84. F. P. Preparata and H. Edelsbrunner, Minimum polygonal separation, Inform. and Comput., vol. 77 (1988), pp. 218-232
  85. X. J. Shen and H. Edelsbrunner, A tight lower bound on the size of visibility graphs, Inform. Process. Lett., vol. 26 (1987), pp. 61-64
  86. B. Chazelle and H. Edelsbrunner, Linear space data structures for two types of range search, Discrete Comput. Geom., vol. 2 (1987), pp. 113-126
  87. B. Chazelle and H. Edelsbrunner, An improved algorithm for constructing k -order Voronoi diagrams, IEEE Trans. Comput., vol. C-36 (1987), pp. 1349-1354
  88. M. H. Overmars and H. Edelsbrunner, Zooming by repeated range detection, Inform. Process. Lett., vol. 24 (1987), pp. 413-417
  89. D. P. Dobkin and H. Edelsbrunner, Space searching for intersecing objects, J. Algorithms, vol. 8 (1987), pp. 348-361
  90. R. Waupotitsch and H. Edelsbrunner, Computing a ham-sandwich cutintwo dimensions, J. Symbolic Comput., vol. 2 (1986), pp. 171-178
  91. R. Seidel and H. Edelsbrunner, Voronoi diagrams and arrangements, Discrete Comput. Geom., vol. 1 (1986), pp. 25-44
  92. G. Stockl and H. Edelsbrunner, The number of extreme pairs of finite point-sets in Euclidean spaces, J. Combin. Theory Ser. A, vol. 43 (1986), pp. 344-349
  93. H. Edelsbrunner, Edge-skeletons in arrangements with applications, Algorithmica, vol. 1 (1986), pp. 93-109
  94. D. Haussler and H. Edelsbrunner, The complexity of cells in three-dimensional arrangements, Discrete Math., vol. 60 (1986), pp. 139-146
  95. J. O'Rourke, R. Seidel and H. Edelsbrunner, Constructing arrangements of lines and hyperplanes with applications, SIAM J. Comput., vol. 15 (1986), pp. 341-363
  96. J. W. Jaromczyk and H. Edelsbrunner, How often can you see yourself in a convex configuration of mirrors?, Congressus Numerantium, vol. 53 (1986), pp. 193-200
  97. G. Haring, D. Hilbert and H. Edelsbrunner, Rectangular point location in d dimensions with applications, Comput. J., vol. 29 (1986), pp. 76-82
  98. L. J. Guibas, J. Stolfi and H. Edelsbrunner, Optimal point location in a monotone subdivision, SIAM J. Comput., vol. 15 (1986), pp. 317-340
  99. E. Welzl and H. Edelsbrunner, Halfplanar range search in linear space and O( n query time, Inform. Process. Lett., vol. 23 (1986), pp. 289-293
  100. E. Welzl and H. Edelsbrunner, On the maximal number of edges of many faces in an arrangement, J. Combin. Theory Ser. A, vol. 41 (1986), pp. 159-166
  101. E. Welzl and H. Edelsbrunner, Constructing belts in two-dimensional arrangements with applications, SIAM J. Comput., vol. 15 (1986), pp. 271-284
  102. B. Chazelle and H. Edelsbrunner, Optimal solutions for a class of point retrieval problems, J. Symbolic Comput., vol. 1 (1985), pp. 47-56
  103. W. H. E. Day and H. Edelsbrunner, Investigation of proportional link linkage clustering methods, J. Classification, vol. 2 (1985), pp. 239-254
  104. H. A. Maurer and H. Edelsbrunner, Finding extreme points in three dimensions and solving the post-oÆce problem in the plane, Inform. Process. Lett., vol. 21 (1985), pp. 39-47
  105. M. H. Overmars and H. Edelsbrunner, Batched dynamic solutions to decomposable searching problems, J. Algorithms, vol. 6 (1985), pp. 515-542
  106. E. Welzl and H. Edelsbrunner, On the number of line separations of a finite set in the plane, J. Combin. Theory Ser. A, vol. 38 (1985), pp. 15-29
  107. H. Edelsbrunner, Computing the extreme distances between two convex polygons, J. Algorithms, vol. 6 (1985), pp. 213-224
  108. H. Edelsbrunner, Finding transversals for sets of simple geometric figures, Theoret. Comput. Sci., vol. 35 (1985), pp. 55-69
  109. W. H. E. Day and H. Edelsbrunner, EÆcient algorithms for agglomerative hierarchical clustering methods, J. Classification, vol. 1 (1984), pp. 7-24
  110. M. H. Overmars, R. Seidel and H. Edelsbrunner, Some methods of computational geometry applied to computer graphics, Comput. Vision, Graphics, Image Process, vol. 28 (1984), pp. 92-108
  111. J. O'Rourke, E. Welzl and H. Edelsbrunner, Stationing guards in rectilinear art galleries, Comput. Vision, Graphics, Image Process, vol. 28 (1984), pp. 167-176
  112. F. Aurenhammer and H. Edelsbrunner, An optimal algorithm for constructing the weighted Voronoi diagram in the plane, Pattern Recognition, vol. 17 (1984), pp. 251-257
  113. J. v. Leeuwen, Th. Ottmann, D. Wood and H. Edelsbrunner, Computing the connected components of simple rectilinear geometrical objects in d -space, RAIRO Inform. Theor., vol. 18 (1984), pp. 171-183
  114. M. H. Overmars, D. Wood and H. Edelsbrunner, Graphics in Flatland: a case study, in Advances in Computing Research, Vol. 1, 35-59, edited by F. P. Preparata (1983), Jai Press, London
  115. W. Bucher and H. Edelsbrunner, On expected-and worst-case segment trees, in Advances in Computing Research Vol. 1, 109-125, edited by F. P. Preparata (1983), Jai Press, London
  116. D. G. Kirkpatrick, R. Seidel and H. Edelsbrunner, On the shape of a set of points in the plane, IEEE Trans. Inform. Theory, vol. IT-29 (1983), pp. 551-559
  117. H. Edelsbrunner, A new approach to rectangle intersections - part II, Internat. J. Comput. Math., vol. 13 (1983), pp. 221-229
  118. H. Edelsbrunner, A new approach to rectangle intersections - part I, Internat. J. Comput. Math., vol. 13 (1983), pp. 209-219
  119. H. A. Maurer, F. P. Preparata, A. L. Rosenberg, E. Welzl, D. Wood and H. Edelsbrunner, Stabbing line segments, BIT, vol. 22 (1982), pp. 274-281
  120. M. H. Overmars and H. Edelsbrunner, On the equivalence of some rectangle problems, Inform. Process. Lett., vol. 14 (1982), pp. 124-127
  121. D. G. Kirkpatrick, H. A. Maurer and H. Edelsbrunner, Polygonal intersection searching, Inform. Process. Lett., vol. 14 (1982), pp. 74-79
  122. H. A. Maurer and H. Edelsbrunner, A space-optimal solution of general region location, Theoret. Comput. Sci., vol. 16 (1981), pp. 329-336
  123. H. A. Maurer and H. Edelsbrunner, On the intersection of orthogonal objects, Inform. Process. Lett., vol. 13 (1981), pp. 177-181

Fry, Brendan

  1. BC Fry and AT Layton, Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels, Mathematical Biosciences, vol. 258 (2014), pp. 68-76
  2. BC Fry, A Edwards, I Sgouralis, AT Layton, Impact of renal medullary three-dimensional architecture on oxygen transport, American Journal of Physiology - Renal Physiology, vol. 307 (2014), pp. F263-F272
  3. BC Fry, TK Roy, TW Secomb, Capillary recruitment in a theoretical model for blood flow regulation in heterogeneous microvessel networks, Physiological Reports, vol. 1 no. 3 (2013), pp. e00050
  4. BC Fry, J Lee, NP Smith, TW Secomb, Estimation of blood flow rates in large microvascular networks, Microcirculation, vol. 19 no. 6 (2012), pp. 530-538

Gasparovic, Ellen

  1. P. Bendich, E. Gasparovic, J. Harer, R. Izmailov, L. Ness, Multi-scale Local Shape Analysis and Feature Selection in Machine Learning Applications (2014)
  2. G. Bal, J. Bergbauer, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, M. Shaker, C. Wenk, Skeleton-based recognition of shapes in images via longest path matching (2014)
  3. James Damon, Ellen Gasparovic, Modeling Multi-Object Configurations Via Medial/Skeletal Linking Structures (2014)
  4. James Damon, Ellen Gasparovic, Medial/Skeletal Linking Structures for Multi-Region Configurations (2013) [arXiv:1402.5517]
  5. Ellen Gasparovic, The Blum Medial Linking Structure for Multi-Region Analysis (2012) (Ph.D. thesis.) [pdf]

Gerber, Samuel

  1. S. Gerber, R. Whitaker, Regularization Free Princpal Curve Estimation, JMLR (Winter, 2012)
  2. K. Potter, S. Gerber, E. Anderson, Uncertainty Visualization without a Mean, Visualization Viewpoints (Summer, 2012)
  3. S. Gerber, K. Potter, Data Analysis with the Morse-Smale Complex: The msr Package for R, Journal of Statistical Software (July, 2012)
  4. S. Gerber, O. Ruebel, P.-T. Bremer, V. Pascucci, R. Whitaker, Morse-Smale Regression, Journal of Computational and Graphical Statistics (Spring, 2012)
  5. P. Zhu, S. Awate, S. Gerber, R. Whitaker, Fast Shape-Based Nearest-Neighbor Search for Brain MRIs Using Hierarchical Feature Matching, MICCAI (Fall, 2011)
  6. A. Agarwal, H. Daume III, S. Gerber, Learning Multiple Tasks using Manifold Regularization, NIPS (Winter, 2010)
  7. S. Gerber, T. Tasdizen, T. P. Fletcher, S. Joshi, R. Whitaker, Manifold Modeling for Brain Population Analysis, Medical Image Analysis, Volume (October, 2010)
  8. S. Gerber, P.-T. Bremer, V. Pascucci, R. Whitaker, Visual Exploration of High Dimensional Scalar Functions, Proceedings of VIS (Fall, 2010)
  9. S. Gerber, T. Tasdizen, S. Joshi, R. Whitaker, On the Manifold Structure of the Space of Brain Images, MICCAI (Fall, 2009)
  10. S. Gerberr, T. Tasdizen, R. Whitaker, Dimensionality Reduction and Principal Surfaces via Kernel Map Manifolds, ICCV (Fall, 2009)
  11. R. Tao, P. T. Fletcher, S. Gerber, R. Whitaker, A Variational Image-Based Approach to the Correction of Susceptibility Artifacts in the Alignment of Diffusion Weighted and Structural MRI, IPMI 2009 (Fall, 2009)
  12. M. Fuchs, S. Gerber, Variational Shape Detection in Microscope Images Based on Joint Shape and Image Feature Statistics, MMBIA (Fall, 2008)
  13. S. Gerber, T. Tasdizen, R. Whitaker, Robust Non-linear Dimensionality Reduction using Successive 1-Dimensional Laplacian Eigenmap, ICML (Fall, 2007)

Getz, Jayce R.

  1. J.R. Getz, Automorphic kernel functions in four variables (2014)
  2. J.R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176  [abs]
  3. J.R. Getz and H. Hahn, A general simple relative trace formula (2014)
  4. J.R. Getz and P. E. Herman, A nonabelian trace formula (2013)  [abs]
  5. J.R. Getz and E. Wambach, Twisted relative trace formulae with a view towards unitary groups, Amer. J. Math., vol. 135 (2013), pp. 1-57 [pdf]  [abs]
  6. J.R. Getz and J. Klassen, Isolating Rankin-Selberg lifts, Proc. Amer. Math. Soc. (2013)
  7. J.R. Getz and M. Goresky, Hilbert modular forms with coefficients in intersection homology and quadratic base change, in Progress in Mathematics, vol. 298 (2012), Birkhauser
  8. J.R. Getz, An approach to nonsolvable base change and descent, J. Ramanujan Math. Soc., vol. 27 no. 2 (2012), pp. 143-211 [pdf]  [abs]
  9. J.R. Getz, Intersection numbers of Hecke cycles on Hilbert modular varieties, Amer. J. Math., vol. 129 no. 6 (2007), pp. 1623-1658
  10. S. Basha, J.R. Getz, H. Nover and E. Smith, Systems of orthogonal polynomials arising from the modular j-functions, J. Math. Anal. Appl., vol. 289 no. 1 (2004), pp. 336-354
  11. J.R. Getz and K. Mahlburg, Partition identities and a theorem of Zagier, J. Combin. Theory Ser. A, vol. 100 (2002), pp. 27-43
  12. J.R. Getz, Extension of a theorem of Kiming and Olsson for the partition function, Ramanujan J., vol. 5 no. 1 (2001), pp. 47-51
  13. J.R. Getz, On congruence properties of the partition function, Int. J. Math. Math. Sci., vol. 23 no. 7 (2000), pp. 493-496

Ghadimi, Parviz

  1. with P. Banks-Lee and M. Mohammadi, Utilization of Air Permeability In Predicting The Thermal Conductivity, International nonwovens Journal, vol. 13 no. 2 (Summer, 2004), pp. 28-33
  2. with P. Banks-Lee and M. Mohammadi, Flow Permeability of Needled Nonwoven Fabrics, Journal of Material Science and Technology (2004)
  3. with M. Mohammadi and P. Banks-Lee, Mean Pore Size of Needled Nonwoven Fabrics, Journal of Material Science and Technology, vol. 12 (2004)
  4. with M. Mohammadi and P. Banks-Lee, Determination of Radiative Heat Transfer Through Heterogeneous Multi-layer Nonwoven Materials, Textile Research Journal, vol. 73 no. 10 (October, 2003), pp. 896-900
  5. with M. Mohammadi and P. Banks-Lee, Determination of Effective Thermal Conductivity of Multi-layered Nonwoven Fabrics, Textile Research Journal, vol. 73 no. 9 (September, 2003), pp. 802-808
  6. with M. Mohammadi and P. Banks-Lee, Air Permeability of Multi-layer Needle Punched Nonwoven Fabrics: Experimental Method, Journal of Industrial Textiles, vol. 32 no. 2 (October, 2002), pp. 139-150
  7. with M. Mohammadi and P. Banks-Lee, Air Permeability of Multi-layer Needle Punched Nonwoven Fabrics: Theoretical Method, Journal of Industrial Textiles, vol. 32 no. 1 (July, 2002), pp. 45-57
  8. with J. D. Knight, and E. J. Shaughnessy, Film Rupture Modelling in Two-Dimensional and on-Dimensional Solutions for the Long journal Bearing, Tribology Transactions (2002)
  9. with J. D. Knight, Analysis and Observation of Cavities in a journal Bearing Considering Flow Continuity, Tribology Transactions, vol. 44 no. 1 (2001), pp. 88-96
  10. with J. D. Knight, Effects of Modified Effective Length Models of the Rupture Zone on the Analysis of a Fluid Journal Bearing, Tribology Transactions, vol. 91 no. AM-5C-1 (1991)

Glasner, Karl B.

  1. Karl Glasner, Solute Trapping and the Non-equilibrium Phase Diagram for Solidification of Binary Alloys, Physica D , 146 (1-4) (2001) pp. 328-340
  2. Karl Glasner, Rapid Growth and Critical Behavior in Phase Field Models of Solidification, European J. Appl. Math, Vol. 12, pp. 39-56, (2001)
  3. Karl Glasner and Robert Almgren, Dual Fronts in a Phase Field Model, Physica D , 146, pp. 328-340 (2000)
  4. Karl Glasner, Traveling Waves in Rapid Solidification, Elec. J. Diff. Eq. , 2000, #16, pp. 1-28 (2000)
  5. Karl Glasner, Nonlinear Preconditioning for Diffuse Interfaces, J. Comp. Phys., #174, (2001) , accepted 2001
  6. Karl Glasner, A Diffuse Interface Approach to Hele-Shaw Flow, Nonlinearity , submitted 2001
  7. Karl Glasner, Viscous Flows as Gradient Systems , preprint 2001
  8. Karl Glasner and Tom Witelski, Coarsening Dynamics of Dewetting Films , preprint 2001

Gopalkrishnan, Manoj

  1. Manoj Gopalkrishnan, Catalysis in Mass-Action Kinetics (June 18, 2010) [3627]  [abs] [author's comments]
  2. N. Chelyapov, Y. Brun, Manoj Gopalkrishnan, D. Reishus, B. Shaw, L. Adleman, DNA Triangles and Self-Assembled Hexagonal Tilings, Journal of the American Chemical Society no. 126 (Spring, 2004), pp. 13924 -13925, ISSN 0002-7863 [ja0458120]  [abs]

Grajdeanu, Paula B

  1. H. Frederik Nijhout, Michael C. Reed, Paula Budu, Cornelia M. Ulrich, A mathematical model of the folate cycle - new insights in the folate homeostasis., Journal of Biological Chemistry (Fall, 2004) [M410818200v1]
  2. Paula Budu, Leon C. Moore and Harold E. Layton, Effect of tubular inhomogeneities on filter properties of a model of thick ascending limb of Henle's loop (Fall, 2004)  [author's comments]
  3. Paula Budu, Leon C. Moore and Harold E. Layton, Effect of spatial inhomogeneities on the tubuloglomerular feedback system (Fall, 2004)
  4. Paula Budu, Unconditional nonlinear stability for a fluid of third grade, Mathematical Methods in the Applied Sciences, vol. 27 no. 4 (Spring, 2004), pp. 457-475 [ABSTRACT]
  5. Paula Budu, On nonlinear stability for some Non Newtonian fluids with a temperature dependent viscosity, ZAAM (Fall, 2003)
  6. Paula Budu, Stability results for convection in thawing subsea permafrost, Continuum. Mech. Thermodyn., vol. 13 no. 4 (Spring, 2001), pp. 269-285 [htm]

Griffiths, Phillip

  1. Griffiths, Phillip A., Mathematics at the turn of the millennium, Amer. Math. Monthly, vol. 107, no. 1, pp. 1--14, 2000 [MR2001a:01036]
  2. Griffiths, Phillip A., Mathematics and the sciences: is interdisciplinary research possible?, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., no. Special Issue, pp. 65--76, 2000 [MR1839741]
  3. Bryant, R. and Griffiths, P. and Hsu, L., Hyperbolic exterior differential systems and their conservation laws. {I}{I}, Selecta Math. (N.S.), vol. 1, no. 2, pp. 265--323, 1995 [MR97d:58009]
  4. Bryant, R. and Griffiths, P. and Hsu, L., Hyperbolic exterior differential systems and their conservation laws. {I}, Selecta Math. (N.S.), vol. 1, no. 1, pp. 21--112, 1995 [MR97d:58008]
  5. Bryant, Robert and Griffiths, Phillip and Hsu, Lucas, Toward a geometry of differential equations, Geometry, topology, \& physics, pp. 1--76, 1995, Internat. Press, Cambridge, MA [MR97b:58005]
  6. Bryant, Robert L. and Griffiths, Phillip A., Characteristic cohomology of differential systems. {I}{I}. {C}onservation laws for a class of parabolic equations, Duke Math. J., vol. 78, no. 3, pp. 531--676, 1995 [MR96d:58158]
  7. Bryant, Robert L. and Griffiths, Phillip A., Characteristic cohomology of differential systems. {I}. {G}eneral theory, J. Amer. Math. Soc., vol. 8, no. 3, pp. 507--596, 1995 [MR96c:58183]
  8. Griffiths, Phillip A., S. {S}. {C}hern: always changing, always the same, Chern---a great geometer of the twentieth century, pp. 117--120, 1992, Internat. Press, Hong Kong [MR1201353]
  9. Bryant, R. L. and Chern, S. S. and Gardner, R. B. and Goldschmidt, H. L. and Griffiths, P. A., Exterior differential systems, pp. viii+475, 1991, Springer-Verlag, New York [MR92h:58007]
  10. Griffiths, Phillip A., Some aspects of exterior differential systems, Complex geometry and Lie theory (Sundance, UT, 1989), pp. 151--173, 1991, Amer. Math. Soc., Providence, RI [MR93b:58005]
  11. Griffiths, Phillip A., Introduction to algebraic curves, pp. x+221, 1989, American Mathematical Society, Providence, RI [MR90i:14028]
  12. Griffiths, Phillip A. and Jensen, Gary R., Differential systems and isometric embeddings, pp. xii+226, 1987, Princeton University Press, Princeton, NJ [MR88k:53041]
  13. Mathematics: the unifying thread in science, Notices Amer. Math. Soc., vol. 33, no. 5, pp. 716--733, 1986 [MR88e:00021]
  14. Bryant, Robert and Griffiths, Phillip, Reduction for constrained variational problems and $\int{1\over 2}k\sp 2\,ds$, Amer. J. Math., vol. 108, no. 3, pp. 525--570, 1986 [MR88a:58044]
  15. Griffiths, Phillip A., Mathematical sciences: a unifying and dynamical resource, Notices Amer. Math. Soc., vol. 33, no. 3, pp. 463--479, 1986 [MR839757]
  16. Arbarello, E. and Cornalba, M. and Griffiths, P. A. and Harris, J., Geometry of algebraic curves. {V}ol. {I}, pp. xvi+386, 1985, Springer-Verlag, New York [MR86h:14019]
  17. Griffiths, Phillip A., Linearizing flows and a cohomological interpretation of {L}ax equations, Amer. J. Math., vol. 107, no. 6, pp. 1445--1484 (1986), 1985 [MR87c:58048]
  18. Griffiths, Phillip and Harris, Joe, On the {N}oether-{L}efschetz theorem and some remarks on codimension-two cycles, Math. Ann., vol. 271, no. 1, pp. 31--51, 1985 [MR87a:14030]
  19. Griffiths, Phillip, Linearizing flows and a cohomology interpretation of {L}ax equations, Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), pp. 37--46, 1984, Springer, New York [MR86f:58076]
  20. Griffiths, Phillip, Infinitesimal invariant of normal functions, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 305--316, 1984, Princeton Univ. Press, Princeton, NJ [MR756859]
  21. Griffiths, Phillip and Tu, Loring, Infinitesimal variation of {H}odge structure and the generic global {T}orelli theorem, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 227--237, 1984, Princeton Univ. Press, Princeton, NJ [MR756854]
  22. Griffiths, Phillip and Tu, Loring, Asymptotic behavior of a variation of {H}odge structure, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 63--74, 1984, Princeton Univ. Press, Princeton, NJ [MR756846]
  23. Griffiths, Phillip and Tu, Loring, Infinitesimal variation of {H}odge structure, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 51--61, 1984, Princeton Univ. Press, Princeton, NJ [MR756845]
  24. Griffiths, Phillip and Tu, Loring, Curvature properties of the {H}odge bundles, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 29--49, 1984, Princeton Univ. Press, Princeton, NJ [MR756844]
  25. Griffiths, Phillip and Tu, Loring, Variation of {H}odge structure, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982), pp. 3--28, 1984, Princeton Univ. Press, Princeton, NJ [MR756843]
  26. Topics in transcendental algebraic geometry, Proceedings of a seminar held at the Institute for Advanced Study, Princeton, N.J., during the academic year 1981/1982, edited by Griffiths, Phillip, pp. viii+316, 1984, Princeton University Press, Princeton, NJ [MR86b:14004]
  27. Griffiths, Phillip A., Exterior differential systems and the calculus of variations, pp. ix+335, 1983, Birkh\"auser Boston, Mass. [MR84h:58007]
  28. Griffiths, Phillip A., Infinitesimal variations of {H}odge structure. {I}{I}{I}. {D}eterminantal varieties and the infinitesimal invariant of normal functions, Compositio Math., vol. 50, no. 2-3, pp. 267--324, 1983 [MR86e:32026c]
  29. Griffiths, Phillip and Harris, Joe, Infinitesimal variations of {H}odge structure. {I}{I}. {A}n infinitesimal invariant of {H}odge classes, Compositio Math., vol. 50, no. 2-3, pp. 207--265, 1983 [MR86e:32026b]
  30. Carlson, James and Green, Mark and Griffiths, Phillip and Harris, Joe, Infinitesimal variations of {H}odge structure. {I}, Compositio Math., vol. 50, no. 2-3, pp. 109--205, 1983 [MR86e:32026a]
  31. Bryant, Robert L. and Griffiths, Phillip A., Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle, Arithmetic and geometry, Vol. II, pp. 77--102, 1983, Birkh\"auser Boston, Boston, MA [MR86a:32044]
  32. Berger, Eric and Bryant, Robert and Griffiths, Phillip, The {G}auss equations and rigidity of isometric embeddings, Duke Math. J., vol. 50, no. 3, pp. 803--892, 1983 [MR85k:53056]
  33. Bryant, Robert L. and Griffiths, Phillip A. and Yang, Deane, Characteristics and existence of isometric embeddings, Duke Math. J., vol. 50, no. 4, pp. 893--994, 1983 [MR85d:53027]
  34. Bryant, Robert L. and Chern, Shiing Shen and Griffiths, Phillip A., Exterior differential systems, Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, Vol. 1, 2, 3 (Beijing, 1980), pp. 219--338, 1982, Science Press, Beijing [MR85k:58005]
  35. Griffiths, Phillip A., Poincar\'e and algebraic geometry, Bull. Amer. Math. Soc. (N.S.), vol. 6, no. 2, pp. 147--159, 1982 [MR84j:14020]
  36. Griffiths, Phillip A. and Morgan, John W., Rational homotopy theory and differential forms, pp. xi+242, 1981, Birkh\"auser Boston, Mass. [MR82m:55014]
  37. Griffiths, Phillip A., An observation on normal functions, Symposia Mathematica, Vol. XXIV (Sympos., INDAM, Rome, 1979), pp. 347--353, 1981, Academic Press, London [MR83e:14008]
  38. Chern, S. S. and Griffiths, P., Corrections and addenda to our paper: ``{A}bel's theorem and webs''\ [{J}ahresber. {D}eutsch. {M}ath.-{V}erein. {\bf 80} (1978), no. 1-2, 13--110;\ {M}{R} 80b:53008], Jahresber. Deutsch. Math.-Verein., vol. 83, no. 2, pp. 78--83, 1981 [MR82k:53030]
  39. Berger, Eric and Bryant, Robert and Griffiths, Phillip, Some isometric embedding and rigidity results for {R}iemannian manifolds, Proc. Nat. Acad. Sci. U.S.A., vol. 78, no. 8, part 1, pp. 4657--4660, 1981 [MR82h:53074]
  40. Griffiths, Phillip A., An introduction to the theory of special divisors on algebraic curves, pp. v+25, 1980, American Mathematical Society, Providence, R.I. [MR82j:14025]
  41. Green, Mark and Griffiths, Phillip, Two applications of algebraic geometry to entire holomorphic mappings, The Chern Symposium 1979 (Proc. Internat. Sympos., Berkeley, Calif., 1979), pp. 41--74, 1980, Springer, New York [MR82h:32026]
  42. Carlson, James A. and Griffiths, Phillip A., Infinitesimal variations of {H}odge structure and the global {T}orelli problem, Journ\'ees de G\'eometrie Alg\'ebrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979, pp. 51--76, 1980, Sijthoff \&\ Noordhoff, Alphen aan den Rijn [MR82h:14006]
  43. Griffiths, Phillip and Harris, Joseph, On the variety of special linear systems on a general algebraic curve, Duke Math. J., vol. 47, no. 1, pp. 233--272, 1980 [MR81e:14033]
  44. Griffiths, Phillip A., Some problems in complex analytic geometry with growth conditions, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 645--651, 1980, Acad. Sci. Fennica, Helsinki [MR81d:32018]
  45. Griffiths, Phillip and Harris, Joseph, Algebraic geometry and local differential geometry, Ann. Sci. \'Ecole Norm. Sup. (4), vol. 12, no. 3, pp. 355--452, 1979 [MR81k:53004]
  46. Griffiths, Phillip A., A theorem concerning the differential equations satisfied by normal functions associated to algebraic cycles, Amer. J. Math., vol. 101, no. 1, pp. 94--131, 1979 [MR80k:14016]
  47. Griffiths, Phillip A., Complex analysis and algebraic geometry, Bull. Amer. Math. Soc. (N.S.), vol. 1, no. 4, pp. 595--626, 1979 [MR80i:14003]
  48. Griffiths, Phillip and Harris, Joseph, Principles of algebraic geometry, pp. xii+813, 1978, Wiley-Interscience [John Wiley \&\ Sons], New York [MR80b:14001]
  49. Chern, Shiing Shen and Griffiths, Phillip A., Linearization of webs of codimension one and maximum rank, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977), pp. 85--91, 1978, Kinokuniya Book Store, Tokyo [MR81k:53010]
  50. Griffiths, Phillip A., Complex differential and integral geometry and curvature integrals associated to singularities of complex analytic varieties, Duke Math. J., vol. 45, no. 3, pp. 427--512, 1978 [MR80k:53101]
  51. Griffiths, Phillip and Harris, Joseph, On {C}ayley's explicit solution to {P}oncelet's porism, Enseign. Math. (2), vol. 24, no. 1-2, pp. 31--40, 1978 [MR80g:51017]
  52. Griffiths, Phillip and Harris, Joseph, Residues and zero-cycles on algebraic varieties, Ann. of Math. (2), vol. 108, no. 3, pp. 461--505, 1978 [MR80d:14006]
  53. Chern, Shiing Shen and Griffiths, Phillip A., An inequality for the rank of a web and webs of maximum rank, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 5, no. 3, pp. 539--557, 1978 [MR80b:53009]
  54. Chern, S. S. and Griffiths, Phillip, Abel's theorem and webs, Jahresber. Deutsch. Math.-Verein., vol. 80, no. 1-2, pp. 13--110, 1978 [MR80b:53008]
  55. Griffiths, Phillip and Harris, Joseph, Two proofs of a theorem concerning algebraic space curves, Proceedings of the Eighth National Mathematics Conference (Arya-Mehr Univ. Tech., Tehran, 1977), pp. 350--370, 1977, Arya-Mehr Univ. Tech., Tehran [MR80d:14027]
  56. Griffiths, Phillip and Harris, Joe, A {P}oncelet theorem in space, Comment. Math. Helv., vol. 52, no. 2, pp. 145--160, 1977 [MR58:16695]
  57. Griffiths, Phillip A., On {A}bel's differential equations, Algebraic geometry (J. J. Sylvester Sympos., Johns Hopkins Univ., Baltimore, Md., 1976), pp. 26--51, 1977, Johns Hopkins Univ. Press, Baltimore, Md. [MR58:655]
  58. Griffiths, Phillip A., Entire holomorphic mappings in one and several complex variables, pp. x+99, 1976, Princeton University Press, Princeton, N. J. [MR56:5948]
  59. Cowen, Michael and Griffiths, Phillip, Holomorphic curves and metrics of negative curvature, J. Analyse Math., vol. 29, pp. 93--153, 1976 [MR58:22677]
  60. Griffiths, Phillip A., Variations on a theorem of {A}bel, Invent. Math., vol. 35, pp. 321--390, 1976 [MR55:8036]
  61. Griffiths, Phillip and Schmid, Wilfried, Recent developments in {H}odge theory: a discussion of techniques and results, Discrete subgroups of Lie groups and applicatons to moduli (Internat. Colloq., Bombay, 1973), pp. 31--127, 1975, Oxford Univ. Press, Bombay [MR54:7868]
  62. Cornalba, Maurizio and Griffiths, Phillip A., Some transcendental aspects of algebraic geometry, Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974), pp. 3--110, 1975, Amer. Math. Soc., Providence, R.I. [MR54:7459]
  63. Griffiths, Phillip A., Differential geometry and complex analysis, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2, Stanford Univ., Stanford, Calif., 1973), pp. 43--64, 1975, Amer. Math. Soc., Providence, R. I. [MR53:3365]
  64. Deligne, Pierre and Griffiths, Phillip and Morgan, John and Sullivan, Dennis, Real homotopy theory of {K}\"ahler manifolds, Invent. Math., vol. 29, no. 3, pp. 245--274, 1975 [MR52:3584]
  65. Cornalba, Maurizio and Griffiths, Phillip, Analytic cycles and vector bundles on non-compact algebraic varieties, Invent. Math., vol. 28, pp. 1--106, 1975 [MR51:3505]
  66. Griffiths, Phillip, Topics in algebraic and analytic geometry, pp. vi+219, 1974, Princeton University Press, Princeton, N.J. [MR50:7596]
  67. Griffiths, P., On {C}artan's method of {L}ie groups and moving frames as applied to uniqueness and existence questions in differential geometry, Duke Math. J., vol. 41, pp. 775--814, 1974 [MR53:14355]
  68. Griffiths, Phillip A., Two results in the global theory of holomorphic mappings, Contributions to analysis (a collection of papers dedicated to Lipman Bers), pp. 169--183, 1974, Academic Press, New York [MR53:8501]
  69. Griffiths, Phillip A., On the {B}ezout problem for entire analytic sets, Ann. of Math. (2), vol. 100, pp. 533--552, 1974 [MR53:8500]
  70. Carlson, James A. and Griffiths, Phillip A., The order functions for entire holomorphic mappings, Value distribution theory, Part A (Proc. Tulane Univ. Program, 1972--1973), pp. 225--248, 1974, Dekker, New York [MR53:8499]
  71. Griffiths, Phillip, Some remarks on {N}evanlinna theory, Value distribution theory (Proc. Tulane Univ. Program, Tulane Univ., New Orleans, La., 1972--1973), Part A, pp. 1--11, 1974, Dekker, New York [MR50:5032]
  72. Griffiths, Phillip and King, James, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math., vol. 130, pp. 145--220, 1973 [MR55:721]
  73. Griffiths, Phillip A., A {S}chottky-{L}andau theorem for holomorphic mappings in several complex variables, Symposia Mathematica, Vol. X (Convegno di Geometria Differenziale, INDAM, Rome, 1971), pp. 229--243, 1972, Academic Press, London [MR51:3541]
  74. Griffiths, Phillip A., Function theory of finite order on algebraic varieties. {I}({B}), J. Differential Geometry, vol. 7, pp. 45--66, 1972 [MR48:4345]
  75. Carlson, James and Griffiths, Phillip, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2), vol. 95, pp. 557--584, 1972 [MR47:497]
  76. Clemens, C. Herbert and Griffiths, Phillip A., The intermediate {J}acobian of the cubic threefold, Ann. of Math. (2), vol. 95, pp. 281--356, 1972 [MR46:1796]
  77. Griffiths, Phillip A., Holomorphic mappings: {S}urvey of some results and discussion of open problems, Bull. Amer. Math. Soc., vol. 78, pp. 374--382, 1972 [MR45:3786]
  78. Griffiths, Phillip A., A transcendental method in algebraic geometry, Actes du Congr\`es International des Math\'ematiciens (Nice, 1970), Tome 1, pp. 113--119, 1971, Gauthier-Villars, Paris [MR54:2652]
  79. Griffits, F. and {\v{S}}mid, V., Locally homogeneous complex manifolds, Uspehi Mat. Nauk, vol. 26, no. 5(161), pp. 117--168, 1971 [MR52:8509]
  80. Griffiths, Phillip A., Complex-analytic properties of certain {Z}ariski open sets on algebraic varieties, Ann. of Math. (2), vol. 94, pp. 21--51, 1971 [MR46:9385]
  81. Griffiths, Phillip A., Some transcendental methods in the study of algebraic cycles, Several complex variables, II (Proc. Internat. Conf., Univ. Maryland, College Park, Md., 1970), pp. 1--46. Lecture Notes in Math., Vol. 185, 1971, Springer, Berlin [MR46:9041]
  82. Griffiths, Phillip A., Function theory of finite order on algebraic varieties. {\rm {I}}({\rm {A}}), J. Differential Geometry, vol. 6, pp. 285--306, 1971/72 [MR46:3829]
  83. Griffiths, Phillip A., Two theorems on extensions of holomorphic mappings, Invent. Math., vol. 14, pp. 27--62, 1971 [MR45:2202]
  84. Griffiths, Phillip A., Holomorphic mapping into canonical algebraic varieties, Ann. of Math. (2), vol. 93, pp. 439--458, 1971 [MR43:7668]
  85. Griffiths, Phillip A., Periods of integrals on algebraic manifolds. {I}{I}{I}. {S}ome global differential-geometric properties of the period mapping, Inst. Hautes \'Etudes Sci. Publ. Math., no. 38, pp. 125--180, 1970 [MR44:224]
  86. Griffiths, Phillip A., A theorem on periods of integrals of algebraic manifolds, Rice Univ. Studies, vol. 56, no. 2, pp. 143--152 (1971), 1970 [MR42:7664]
  87. Griffiths, Phillip A., Deformations of complex structure, Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968), pp. 251--273, 1970, Amer. Math. Soc., Providence, R.I. [MR41:9308]
  88. Griffiths, Phillip A., Periods of integrals on algebraic manifolds: {S}ummary of main results and discussion of open problems, Bull. Amer. Math. Soc., vol. 76, pp. 228--296, 1970 [MR41:3470]
  89. Griffiths, Phillip A., On the periods of certain rational integrals. {I}, {I}{I}, Ann. of Math. (2) 90 (1969), 460-495; ibid. (2), vol. 90, pp. 496--541, 1969 [MR41:5357]
  90. Griffiths, Phillip and Schmid, Wilfried, Locally homogeneous complex manifolds, Acta Math., vol. 123, pp. 253--302, 1969 [MR41:4587]
  91. Griffiths, Phillip A., Hermitian differential geometry, {C}hern classes, and positive vector bundles, Global Analysis (Papers in Honor of K. Kodaira), pp. 185--251, 1969, Univ. Tokyo Press, Tokyo [MR41:2717]
  92. Griffiths, Phillip A., Some results on algebraic cycles on algebraic manifolds, Algebraic Geometry (Internat. Colloq., Tata Inst. Fund. Res., Bombay, 1968), pp. 93--191, 1969, Oxford Univ. Press, London [MR41:1746]
  93. Griffiths, Phillip A., On the periods of integrals on algebraic manifolds, Rice Univ. Studies, vol. 54, no. 4, pp. 21--38, 1968 [MR39:4171]
  94. Griffiths, Phillip A., Periods of integrals on algebraic manifolds. {I}{I}. {L}ocal study of the period mapping, Amer. J. Math., vol. 90, pp. 805--865, 1968 [MR38:2146]
  95. Griffiths, Phillip A., Periods of integrals on algebraic manifolds. {I}. {C}onstruction and properties of the modular varieties, Amer. J. Math., vol. 90, pp. 568--626, 1968 [MR37:5215]
  96. Griffiths, Phillip A., Some remarks and examples on continuous systems and moduli, J. Math. Mech., vol. 16, pp. 789--802, 1967 [MR35:1595]
  97. Griffiths, Phillip A., The residue calculus and some transcendental results in algebraic geometry. {I}, {I}{I}, Proc. Nat. Acad. Sci. U.S.A., vol. 55, pp. 1303--1309; 1392--1395, 1966 [MR36:5133]
  98. Griffiths, Phillip A., Some results on locally homogeneous complex manifolds, Proc. Nat. Acad. Sci. U.S.A., vol. 56, pp. 413--416, 1966 [MR35:1822]
  99. Griffiths, Phillip A., The extension problem in complex analysis. {I}{I}. {E}mbeddings with positive normal bundle, Amer. J. Math., vol. 88, pp. 366--446, 1966 [MR34:6796]
  100. Griffiths, Phillip A., On the existence of a locally complete germ of deformation of certain ${G}$-structures, Math. Ann., vol. 159, pp. 151--171, 1965 [MR33:662]
  101. Griffiths, Ph. A., The extension problem for compact submanifolds of complex manifolds. {I}. {T}he case of a trivial normal bundle, Proc. Conf. Complex Analysis (Minneapolis, 1964), pp. 113--142, 1965, Springer, Berlin [MR32:8362]
  102. Griffiths, Phillip A., Deformations of ${G}$-structures. {P}art {B}: {D}eformations of geometric ${G}$-structures, Math. Ann., vol. 158, pp. 326--351, 1965 [MR31:6252]
  103. Griffiths, Phillip A., Hermitian differential geometry and the theory of positive and ample holomorphic vector bundles, J. Math. Mech., vol. 14, pp. 117--140, 1965 [MR30:1520]
  104. Griffiths, Phillip, On the theory of variation of structures defined by transitive, continuous pseudogroups, Osaka J. Math., vol. 1, pp. 175--199, 1964 [MR31:5223]
  105. Griffiths, Phillip A., Deformations of ${G}$-structures. {P}art {A}: {G}eneral theory of deformations, Math. Ann., vol. 155, pp. 292--315, 1964 [MR30:3480]
  106. Griffiths, Phillip A., Deformations of holomorphic mappings, Illinois J. Math., vol. 8, pp. 139--151, 1964 [MR28:4555]
  107. Griffiths, Phillip A., Some remarks of automorphisms, analytic bundles, and embeddings of complex algebraic varieties, Proc. Nat. Acad. Sci. U.S.A., vol. 49, pp. 817--820, 1963 [MR31:766]
  108. Griffiths, Phillip A., On the differential geometry of homogeneous vector bundles, Trans. Amer. Math. Soc., vol. 109, pp. 1--34, 1963 [MR28:5447]
  109. Griffiths, Phillip A., Some geometric and analytic properties of homogeneous complex manifolds. {I}{I}. {D}eformation and bundle theory, Acta Math., vol. 110, pp. 157--208, 1963 [MR27:4249]
  110. Wolf, Joseph A. and Griffiths, Phillip A., Complete maps and differentiable coverings, Michigan Math. J., vol. 10, pp. 253--255, 1963 [MR27:4179]
  111. Griffiths, Phillip A., Some geometric and analytic properties of homogeneous complex manifolds. {I}. {S}heaves and cohomology, Acta Math., vol. 110, pp. 115--155, 1963 [MR26:6993]
  112. Griffiths, Phillip A., On a theorem of {C}hern, Illinois J. Math., vol. 6, pp. 468--479, 1962 [MR26:1905]
  113. Griffiths, Phillip A., On certain homogeneous complex manifolds, Proc. Nat. Acad. Sci. U.S.A., vol. 48, pp. 780--783, 1962 [MR25:584]

Haase, Christian

  1. Christian Haase and Ilarion Melnikov, The reflexive dimension of a lattice polytope. (June, 2004), pp. 9 (Duke-CGTP-04-07 math.CO/0406485.)
  2. Christian Haase and Josef Schicho, Lattice polygons and the number 2i+7. (June, 2004), pp. 17 (Duke-CGTP-04-06 math.CO/0406224.)
  3. Christian Haase, Polar decomposition and Brion's theorem., in Integral Points in Polyhedra, Contemporary Mathematics, edited by Barvinok, Beck, Haase, Reznick, Welker (December, 2003), pp. 91-100, AMS (Duke-CGTP-03-06 math.CO/0312095.)
  4. Haase, Christian and Ziegler, G{\"u}nter M., Examples and counterexamples for the Perles conjecture, Discrete Comput. Geom., vol. 28, no. 1, pp. 29--44, 2002 [MR1904008], [math.CO/0011170], [gz]
  5. Christian Haase and Ilia Zharkov, Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I , preprint 2002 [math.AG/0205321]
  6. Dais, Dimitrios I. and Haase, Christian and Ziegler, G{\"u}nter M., All toric local complete intersection singularities admit projective crepant resolutions, Tohoku Math. J. (2), vol. 53, no. 1, pp. 95--107, 2001 [MR2001m:14076]
  7. Haase, Christian and Ziegler, G{\"u}nter M., On the maximal width of empty lattice simplices, European J. Combin., vol. 21, no. 1, pp. 111--119, 2000 [MR2001a:52006]
  8. Christian A. Haase, Lattice Polytopes and Unimodular Triangulations, Ph.D. thesis TU-Berlin (2000) [pdf]

Hahn, Heekyoung

  1. J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176
  2. J. R. Getz and H. Hahn, A general simple relative trace formula (2014)
  3. S. Akhtari, C. David, H. Hahn and L. Thompson, Distribution of square-free values of sequences associated with elliptic curves, Women in Numbers 2, Contemp. Math., vol. 606 (2013), pp. 171-188, Amer. Math. Soc., Providence, RI
  4. H. Hahn, A simple twisted relative trace formula, Int. Math. Res. Not. IMRN, vol. 2009 (2009), pp. 3957-3978
  5. H. Hahn, Eisenstein series associated with Gamma_0(2), Ramanujan J., vol. 15 no. 2 (2008), pp. 235-257
  6. B. C. Berndt, G. Choi, Y. Choi, H. Hahn, B. Yeap, A. J. Yee, H. Yesilyurt, and J. Yi, Ramanujan's forty identities for the Rogers-Ramanujan functions, in Mem. Amer. Math. Soc, vol. 188 no. 880 (2007)
  7. H. Hahn, Convolution sums of some functions on divisors, Rocky Mt. J. Math, vol. 37 no. 5 (2007), pp. 315-344
  8. H. Hahn, On zeros of Eisenstein series for genus zero Fuchsian groups, Proc. Amer. Math. Soc., vol. 135 (2007), pp. 2391-2401
  9. M. Ablowitz, S. Chakravarty, and H. Hahn, Integrable systems and modular forms of level 2, J. Phys. A: Math. Gen., vol. 39 (2006), pp. 15341-15353
  10. H. Hahn, Septic analogues of the Rogers-Ramanujan functions, Acta Arith., vol. 110 no. 4 (2003), pp. 381-399
  11. H. H. Chan, H. Hahn, R. P. Lewis and S. L. Tan, New Ramanujan-Kolberg type partition identities, Math. Res. Lett., vol. 9 no. 5 (2002), pp. 801-811

Hain, Richard M

  1. Richard Hain, Genus 3 Mapping Class Groups are not Kähler, Journal of Topology (June, 2014), ISSN 1753-8416 [arXiv:1305.2052]
  2. Richard Hain, The Hodge-de Rham theory of modular groups (March, 2014) [arXiv:1403.6443]
  3. Alexandru Dimca, Richard Hain, Stefan Papadima, The abelianization of the Johnson kernel, Journal of the European Mathematical Society, vol. 16 no. 4 (2014), pp. 805-822 [arXiv:1101.1392], [show_abstract.php]
  4. Richard Hain, Notes on the Universal Elliptic KZB Equation (September, 2013) [arXiv:1309.0580]
  5. Richard Hain, Normal Functions and the Geometry of Moduli Spaces of Curves, in Handbook of Moduli, edited by Gavril Farkas, Ian Morrison, vol. I (March, 2013), pp. 527-578, International Press [arXiv:1102.4031]
  6. Benson Farb, Richard Hain, Eduard Looijenga, Moduli Spaces of Riemann Surfaces, IAS/Park City Mathematics Series (2013), American Mathematical Society, ISBN ISBN-13: 978-0-8218-9887-1 [AMS]
  7. Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom., vol. 22 (2013), pp. 581-598 [arXiv:1009.3662]
  8. Richard Hain, Monodromy of codimension-one sub-families of universal curves, Duke Math. Journal, vol. 161 no. 7 (June, 2012), pp. 1351-1378 [arXiv:1006.3785]
  9. Richard Hain, Rational points of universal curves, J. Amer. Math. Soc. 24 (2011), 709-769 [arXiv:1001.5008]
  10. Richard Hain, Lectures on Moduli Spaces of Elliptic Curves, in Transformation Groups and Moduli Spaces of Curves, Advanced Lectures in Mathematics, edited by Lizhen Ji, Shing-Tung Yau no. 16 (2010), pp. 95--166, Higher Education Press, Beijing, ISBN 978-7-04-029842-0 [arXiv:0812.1803]
  11. Richard Hain, Makoto Matsumoto, Relative pro-l completions of mapping class groups, J. Algebra, vol. 321 (2009), pp. 3335-3374 [arXiv:0802.0806]
  12. Richard Hain, Relative weight filtrations on completions of mapping class groups, in Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics, vol. 52 (May, 2008), pp. 309--368, Mathematical Society of Japan [arXiv:0802.0814]
  13. Richard Hain, Finiteness and Torelli Spaces, in Problems on Mapping Class Groups and Related Topics, Proc. Symp. Pure Math. 74, edited by Benson Farb (September, 2006), pp. 57-70, American Mathematical Society [arXiv:math/0508541]
  14. Richard M. Hain and Makoto Matsumoto, Galois actions on fundamental groups of curves and the cycle C-C-, J. Inst. Math. Jussieu, vol. 4 (2005), pp. 363-403 [arXiv:math/0306037]
  15. Minhyong Kim, Richard M. Hain, The Hyodo-Kato isomorphism for rational homotopy types, Math. Res. Lett., vol. 12 (2005), pp. 155-169 [arXiv:math/0210281]
  16. Richard M. Hain, David Reed, On the Arakelov Geometry of Moduli Spaces of Curves, J. Differential Geom., vol. 67 (2004), pp. 195-228 [arXiv:math/0211097]
  17. Minhyong Kim, Richard M. Hain, A De Rham-Witt approach to crystalline rational homotopy theory, Compositio Math., vol. 140 (2004), pp. 1245-1276 [arXiv:math/0105008]
  18. Richard M. Hain, Makoto Matsumoto, Tannakian fundamental groups associated to Galois groups, Galois groups and Fundamental Groups, Leila Schneps (editor), MSRI Publications, vol. 41 (2003), pp. 183-216, Cambridge University Press [arXiv:math/0010210]
  19. Richard M. Hain, Makoto Matsumoto, Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1,infty}, Compositio Math., vol. 139 no. 2 (2003), pp. 119-167 [arXiv:math/0006158]
  20. Richard M. Hain, Periods of Limit Mixed Hodge Structures, in CDM 2002: Current Developments in Mathematics in Honor of Wilfried Schmid & George Lusztig, edited by David Jerison, George Lustig, Barry Mazur, Tom Mrowka, Wilfried Schmid, Richard Stanley & S.-T. Yau (2003), International Press [arXiv:math/0305090]
  21. R.M. Hain, The de Rham homotopy theory of complex algebraic varieties (unpublished version) (Spring, 1984) [pdf]  [author's comments]
  22. Thomas Duchamp and Richard M. Hain, Primitive elements in rings of holomorphic functions, J. Reine Angewandte Math., vol. 346 (1983), pp. 1999-220
  23. Richard M. Hain, The rational cohomology ring of the moduli space of abelian 3-folds, Math. Research Letters 9 (2002), 473-491 [arXiv:math/0203057]
  24. Richard M. Hain, Iterated Integrals and Algebraic Cycles: Examples and Prospects, Contemporary Trends in Algebraic Geometry and Algebraic Topology , Nankai Tracts in Mathematics, vol. 5, World Scientific, 2002 [arXiv:math/0109204]
  25. Shiing-Shen Chern, Lei Fu, and Richard M. Hain, Contemporary Trends in Algebraic Geometry and Algebraic Topology, Nankai Tracts in Mathematics - Vol. 5 , World Scientific, Singapore, 2002 [html]
  26. Richard M. Hain, David Reed, Geometric proofs of some results of Morita, J. Algebraic Geom. 10 (2001), 199-217. [arXiv:math/9810054]
  27. Richard M. Hain, Moduli of Riemann Surfaces, Transcendental Aspects, Moduli Spaces in Algebraic Geometry, ICTP Lecture Notes 1, L. Gottsche editor, 2000, 293--353 [arXiv:math/0003144]
  28. Johan Dupont, Richard M. Hain, Steven Zucker, Regulators and characteristic classes of flat bundles, The Arithmetic and Geometry of Algebraic Cycles, CRM Proceedings and Lecture Notes 24 (2000), 47-92 [arXiv:alg-geom/9202023]
  29. Richard M. Hain, Locally symmetric familes of curves and jacobians, Moduli of Curves and Abelian Varieties, Carel Faber and Eduard Looijenga, editors, Aspects of Mathematics, Vieweg, Wiesbaden 1999, 91--108 [arXiv:math/9803028]
  30. Richard M. Hain, The Hodge-de Rham theory of relative Malcev completion, Ann. Sci. Ecole Norm. Sup. (4) 31 (1998), no. 1, 47--92. [pdf]
  31. Richard M. Hain, Eduard Looijenga, Mapping class groups and moduli spaces of curves, Algebraic Geometry, Santa Cruz, Proc. Symp. Pure Math. 62 (1997), part II, 97-142. [arXiv:alg-geom/9607004]
  32. Richard M. Hain, Infinitesimal presentations of Torelli groups, J. Amer. Math. Soc. 10 (1997), pp. 597-651. [available here]
  33. Michael Freedman, Richard M. Hain, Peter Teichner, Betti number estimates for nilpotent groups, Fields Medalists' Lectures, edited by Atiyah & Iagolnitzer, World Scientific Series in 20th Century Mathematics - Vol. 5, 1997, 413-434. [available here]
  34. Richard M. Hain, The existence of higher logarithms, Compositio Math. 100 (1996), 247--27 [alg-geom/9308005]
  35. Richard M. Hain, Jun Yang, Real Grassmann polylogarithms and Chern classes, Math. Ann. 304 (1996), 157--201. [alg-geom/9407010]
  36. Javier Elizondo, Richard M. Hain, Chow varieties of abelian varieties, Boletin de La Sociedad Matematica Mexicana, 2 (1996), 95--99.
  37. Richard M. Hain, Torelli groups and Geometry of Moduli Spaces of Curves, Current Topics in Complex Algebraic Geometry (C. H. Clemens and J. Kollar, eds.) MSRI publications no. 28, Cambridge University Press, 1995, 97--143. [available here]
  38. Richard M. Hain, Classical Polylogarithms, Motives, Proc. Symp. Pure Math. 55 part 2 (1994), 3--42
  39. Richard M. Hain, Completions of mapping class groups and the cycle C - C-, Comtemporary Math. 150 (1993), 75--105
  40. Carl-Friedrich Bodigheimer and Richard M. Hain (editors), Mapping Class Groups and Moduli Spaces of Riemann Surfaces, Contemp. Math. 150, American Mathematical Society, 1993.
  41. Richard M. Hain, Nil-manifolds as links of isolated singularities, Compositio Math. 84 (1992), 91--99
  42. Richard M. Hain and Robert MacPherson, Introduction to higher logarithms, chapter in book: editor, L. Lewin, Properties of Polylogarithms, Mathematical Surveys and Monographs, Amer. Math. Soc., vol. 37, 1991, pp. 337--353
  43. Richard M. Hain, Algebraic cycles and variations of mixed Hodge structure, Complex Geometry and Lie Theory, Proc. Symp. Pure Math, 53, (1991), 175--221
  44. Richard M. Hain, Biextensions and heights associated to curves of odd genus, Duke Math. Journal 61 (1990), 859--898
  45. Richard M. Hain and Philipe Tondeur, The life and work of Kuo-Tsai Chen, Illinois J. Math. 34 (1990), 175--190
  46. Richard M. Hain and Robert MacPherson, Higher logarithms, Illinois J. Math. 34 (1990), 392--475
  47. Richard M. Hain and Philippe Tondeur (editors), Chen Memorial Volume, Illinois Journal of Mathematics, volume 34, 1990.
  48. James Carlson and Richard M. Hain, Extensions of Variations of Mixed Hodge Structure, Theorie de Hodge, Luminy, Juin, 1987, Asterisque no. 179--180, 39--65
  49. Alan Durfee and Richard M. Hain, Mixed Hodge structures on the homotopy of links, Math. Ann. 280 (1988), 69--83
  50. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties I, Journal of K-Theory 1 (1987), 271--324 [pdf]
  51. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties II, Journal of K-Theory 1 (1987), 481--497 [pdf]
  52. Richard M. Hain and Steven Zucker, Truncations of mixed Hodge complexes, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  53. Richard M. Hain and Steven Zucker, Unipotent variations of mixed Hodge structure, Invent. Math. 88 (1987), 83--124
  54. Richard M. Hain, The geometry of the mixed Hodge structure on the fundamental group, Algebraic Geometry, 1985, Proc. Symp. Pure Math. 46 (1987), 247--282
  55. Richard M. Hain, Iterated integrals and mixed Hodge structures on homotopy groups, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  56. Richard M. Hain, Higher Albanese manifolds, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  57. Richard M. Hain and Steven Zucker, A Guide to unipotent variations of mixed Hodge structure, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  58. Richard M. Hain, On a generalization of Hilbert's 21st problem, Ann. Sci. Ecole Norm. Sup., t. 19 (1986), 609--627
  59. Richard M. Hain, On the indecomposable elements of the bar construction, Proc. Amer. Math . Soc. 98 (1986), 312--316
  60. Richard M. Hain, Mixed Hodge structures on homotopy groups, Bull. Amer. Math. Soc. 14 (1986), 111--114
  61. Richard M. Hain, Iterated integrals, intersection theory and link groups, Topology 24 (1985), 45--66, Erratum, Topology 25 (1986), 585--586
  62. Richard M. Hain, Iterated integrals and homotopy periods, Mem. Amer. Math. Soc. 291 (1984)
  63. Richard M. Hain, Twisting cochains and duality between minimal algebras and minimal Lie algebras, Trans. Amer. Math. Soc. 277 (1983), 397--411
  64. Richard M. Hain, Iterated Integrals, Minimal Models and Rational Homotopy Theory, Ph.D. thesis, University of Illinois, 1980
  65. Richard M. Hain, A characterization of smooth functions defined on a Banach Space, Proc. Amer. Math. Soc. 77 (1979), 63--67
  66. Peter Eades and Richard M. Hain, On circulant weighting matrices, Ars Combinatoria, 2 (1976), 265--284

Harer, John

  1. Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer, Fréchet Means for Distributions of Persistence diagrams, arXiv:1206.2790 (2013) (http://arxiv.org/abs/1206.2790.)  [abs]
  2. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) (http://arxiv.org/abs/1307.6530.)  [abs]
  3. Jose Perea and J. Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, arXiv:1307.6188 (2013) (http://arxiv.org/abs/1307.6188.)  [abs]
  4. Christopher N Topp, Anjali S Iyer-Pascuzzi, Jill T Anderson, Cheng-Ruei Lee, Paul R Zurek, Olga Symonova, Ying Zheng, Alexander Bucksch, Yuriy Milyeko, Taras Galkovskyi, Brad Moore, John Harer, Herbert Edelsbrunner, Thomas Mitchell Olds, Joshua S Weitz, Philip N Benfey, 3-dimensional phenotyping of growing root systems combined with QTL mapping identifies core regions of the rice genome controlling root architecture, PNAS (2013) (http://www.pnas.org/content/early/2013/04/10/1304354110.abstract.)  [abs]
  5. Anastasia Deckard, Ron C. Anafi, John B. Hogenesch, Steven B. Haase, John Harer, Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data, PLOS Computational Biology (2013)  [abs]
  6. J. Perea, A. Deckard, S. Haase and J. Harer, Applications of SWiPerS to the discovery of periodic genes (2013)
  7. Sara Bristow, Laura A. Simmons Kovacs, Anastasia Deckard, John Harer, Steven B. Haase, Checkpoint Pathways Couple the CDK-Independent Transcriptional Oscillations to Cell Cycle Progression (2013)  [abs]
  8. T. Galkovskyi, Y. Mileyko, A. Bucksch, B. Moore, O. Symonova, C. Price, C. Topp, A. Iyer-Pascuzzi, P. Zurek, S. Fang, J. Harer, P. Benfey and J. Weitz, GiA Roots: software for the high throughput analysis of plant root system architecture, BMC Plant Biology, vol. 12 no. 116 (2012)  [abs]
  9. Elizabeth Munch , Michael Shapiro and John Harer, Failure Filtrations for Fenced Sensor Networks, The International Journal of Robotics Research, vol. 31 no. 9 (2012)
  10. Paul Bendich , Jacob Harer and John Harer, Persistent Homology Enhanced Dimension Reduction, Foundations of Computational Mathematics (2012)
  11. Michael Jenista and John Harer, Realizing Boolean Dynamics in Switching Networks, Siam Journal of Applied Dynamical Systems (2012), pp. 12  [abs]
  12. Yuriy Mileyko, Sayan Mukherjee and John Harer, Probability measures on the space of persistence diagrams, Journal of Inverse Problems, vol. 27 no. 12 (2011), pp. 25  [abs] [author's comments]
  13. Paul Bendich, Taras Galkovskyi and John Harer, Improving Homology Estimates with Random Walks, Journal of Inverse Problems, vol. 27 no. 12 (2011), pp. 16  [abs]
  14. Anjali S. Iyer-Pascuzzi, Christopher N. Topp, Jill T. Anderson, Cheng-Ruei Lee, Olga Symonova, Yuriy Mileyko, Taras Galkovsky, Ying Zheng, Randy Clark, Leon Kochian, Herbert Edelsbrunner, Joshua S. Weitz, Thomas Mitchell-Olds, John Harer and Philip N. Benfey, Quantitative Genetic Analysis of Root System Architecture in Rice Plant and Animal Genomes, XX Genome Conference (2011)
  15. Gilberto Bini and John Harer, Euler characteristics of moduli spaces of curves, Journal of the European Mathematical Society, vol. 13 no. 2 (2011), pp. 487-512  [abs]
  16. Paul Bendich and John Harer, Persistent Intersection Homology, Foundations of Computational Mathematics, vol. 11 no. 3 (2011), pp. 305-336  [abs]
  17. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (January 13, 2010), American Mathematical Society, ISBN 0-8218-4925-5 (http://www.ams.org/bookstore-getitem/item=mbk-69.)  [abs]
  18. Anjali Iyer-Pascuzzi, Joshua S. Weitz, Olga Symonova,Yuriy Mileyko, Yueling Hao, Heather Belcher, John Harer, and Philip N. Benfey, Imaging and Analysis Platform for Automatic Phenotyping and Trait Ranking of Plant Root Systems, Plant Physiology, vol. 152 (2010), pp. 1148-1157  [abs]
  19. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and Y. Mileyko., Lipschitz functions have L_p-stable persistence., Foundations of Computional Mathematics, vol. 10 no. 2 (2010), pp. 127-139 [available here]  [abs]
  20. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality, Found. Comput. Math., vol. p (2009), pp. 79-103, Erratum 133-134.  [abs]
  21. H. Edelsbrunner and J. Harer, The persistent Morse complex segmentation of a 3-manifold., in 3D Physiological Human Workshop, 2009, Lecture Notes Comp. Sci., edited by N. Magnenat-Thalmann, vol. 5903 (2009), pp. 36-50, Springer-Verlag, Berlin
  22. T. Fink, S. Ahnert, R. Bar-On, J. Harer, Exact dynamics of Boolean networks with connectivity one (2009)
  23. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Persistent homology for kernels, images, and cokernels., Proc. Sympos. Discret Alg. (2009) [available here]  [abs]
  24. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2009)
  25. P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Inferring local homology from sampled stratified spaces., Proc. 48th Ann. Sympos. Found. Comput. Sci. (2008), pp. 536-546 [available here]  [abs]
  26. Mehak Aziz, Siobhan M. Brady, David Orlando, Appu Kuruvilla, Scott Spillias, José R. Dinneny, Terri A. Long, John Harer, Uwe Ohler, Philip N. Benfey, Gene Expression Clustering Analysis: How to Choose the Best Parameters and Clustering Algorithm (2008)  [abs]
  27. H. Edelsbrunner, J. Harer, A. Mascarenhas, V. Pascucci and J. Snoeyink, Time-varying Reeb graphs for continuous space-time data., Comput. Geom. Theory Appl., vol. 41 (2008), pp. 149-166.
  28. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120  [abs] [author's comments]
  29. H. Edelsbrunner and J. Harer, Persistent homology --- a survey., In Twenty Years After, eds. J. E. Goodman, J. Pach and R. Pollack, AMS. (2007) [pdf]  [abs]
  30. D. Attali, H. Edelsbrunner, J. Harer, Y. Milokov, Alpha-beta witness complexes, Proc. 10th Workshop Algor. Data Struct., 2007, Springer LNCS 4619, 386-397. (2007)  [abs]
  31. with H. Edelsbrunner, V. Natarajan, V. Pascucci., Local and Global Comparison of Continuous Functions, Proc. IEEE Conf. Visualization, 2004, 275-280. (2004), pp. 275-280  [abs]
  32. with H. Edelsbrunner, Persistent Morse Complex Segmentation of a 3-Manifold, Raindrop Geomagic Technical Report, vol. 066 (2004)  [abs] [author's comments]
  33. with P. K. Agarwal, H. Edelsbrunner, and Y. Wang, Extreme elevation on a 2-manifold., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 357-365  [abs]
  34. with H. Edelsbrunner, A. Mascarenhas and V. Pascucci, Time-varying Reeb graphs for continuous space-time data., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 366-372.  [abs]
  35. with K. Cole-McLaughlin, H. Edelsbrunner, V. Natarajan and V. Pascucci, Loops in Reeb graphs of 2-manifolds., Discrete Comput. Geom., vol. 32 (2004), pp. 231-244.  [abs]
  36. with P. Agarwal and A. Collins, HPRM: A Hierarchical PRM, Proc. Intl. Conf. Robotics and Automation (2003)  [abs]
  37. with H. Edelsbrunner, V. Natarajan and V. Pascucci., Morse-Smale complexes for piecewise linear 3-manifolds., Proc. 19th Ann. Sympos. Comput. Geom. (2003), pp. 361-370.  [abs]
  38. with H. Edelsbrunner., Jacobi sets of multiple Morse functions., Foundations of Computational Mathematics, Minneapolis, eds. F. Cucker, R. DeVore, P. Olver and E. Sueli, Cambridge Univ. Press, England, (2002), pp. 37-57  [abs]
  39. P. Agarwal, A. Collins and J. Harer, Minimal Trap Design, Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA), (2001)  [abs]
  40. H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.  [abs]
  41. Goulden, I. P. and Harer, J. L. and Jackson, D. M., A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves, Trans. Amer. Math. Soc., vol. 353, no. 11, pp. 4405--4427 (electronic), 2001 [MR1851176]
  42. John Harer, Algorithms for Enumerating Triangulations and Other Maps in Surfaces, 1998 , preprint 1998
  43. John Harer, An Alternative Approach to Trap Design for Vibratory Bowl Feeders, 1998 , preprint 1998
  44. John Harer, The Euler Characteristic of the Deligne-Mumford Compactification of the Moduli Space of Curves, 1996 , preprint 1996
  45. Harer, John L., The rational Picard group of the moduli space of Riemann surfaces with spin structure, Mapping class groups and moduli spaces of Riemann surfaces (Gottingen, 1991/Seattle, WA, 1991), pp. 107--136, 1993, Amer. Math. Soc., Providence, RI [MR94h:14008]
  46. Penner, R. C. and Harer, J. L., Combinatorics of train tracks, pp. xii+216, 1992, Princeton University Press, Princeton, NJ [MR94b:57018]
  47. Harer, John, The third homology group of the moduli space of curves, Duke Math. J., vol. 63, no. 1, pp. 25--55, 1991 [MR92d:57012]
  48. Harer, John L., Stability of the homology of the moduli spaces of Riemann surfaces with spin structure, Math. Ann., vol. 287, no. 2, pp. 323--334, 1990 [MR91e:57002]
  49. Harer, John L., The cohomology of the moduli space of curves, Theory of moduli (Montecatini Terme, 1985), pp. 138--221, 1988, Springer, Berlin [MR90a:32026]
  50. Harer, John and Kas, Arnold and Kirby, Robion, Handlebody decompositions of complex surfaces, Mem. Amer. Math. Soc., vol. 62, no. 350, pp. iv+102, 1986 [MR88e:57030]
  51. Harer, J. and Zagier, D., The Euler characteristic of the moduli space of curves, Invent. Math., vol. 85, no. 3, pp. 457--485, 1986 [MR87i:32031]
  52. Harer, John L., The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math., vol. 84, no. 1, pp. 157--176, 1986 [MR87c:32030]
  53. Harer, John L., Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. (2), vol. 121, no. 2, pp. 215--249, 1985 [MR87f:57009]
  54. Geometry and topology, Proceedings of the special year held at the University of Maryland, College Park, Md., 1983/84, edited by Alexander, J. and Harer, J., pp. vi+292, 1985, Springer-Verlag, Berlin [MR87a:57003]
  55. Harer, John, The homology of the mapping class group and its connection to surface bundles over surfaces, Four-manifold theory (Durham, N.H., 1982), pp. 311--314, 1984, Amer. Math. Soc., Providence, RI [MR86c:57010]
  56. Harer, John, The second homology group of the mapping class group of an orientable surface, Invent. Math., vol. 72, no. 2, pp. 221--239, 1983 [MR84g:57006]
  57. Harer, John, Representing elements of pi1(M3) by fibred knots, Math. Proc. Cambridge Philos. Soc., vol. 92, no. 1, pp. 133--138, 1982 [MR83j:57005]
  58. Harer, John, How to construct all fibered knots and links, Topology, vol. 21, no. 3, pp. 263--280, 1982 [MR83e:57007]
  59. Casson, Andrew J. and Harer, John L., Some homology lens spaces which bound rational homology balls, Pacific J. Math., vol. 96, no. 1, pp. 23--36, 1981 [MR83h:57013]
  60. Harer, John, On handlebody structures for hypersurfaces in C3 and CP3, Math. Ann., vol. 238, no. 1, pp. 51--58, 1978 [MR80d:57020]

Hawkins, Jane M

  1. J.M. Hawkins and D. M. Look, Locally Sierpinski Julia sets of Weierstrass Elliptic P functions, Intl. J. of Bifurcation and Chaos, vol. 16 no. 5 (May, 2006), pp. 1505-1520
  2. J.M. Hawkins and J. Barnes, Ergodic and Exact maps of the Interval, Dynamical systems: an international journal (2006)
  3. J.M. Hawkins and L Koss, Connectivity properties of Julia sets of Weierstrass elliptic functions, Topology and its Applications, vol. 152 (2005), pp. 107-137 [MR2160809]
  4. J.M. Hawkins and L. Koss, Connectivity properties of Julia sets of Weierstrass elliptic P functions, Topology and its applications, available online, October 14, vol. 152 no. 1-2 (2005), pp. 107-137 [MR2160809], [pdf]  [abs]
  5. J.M. Hawkins, The Role of Women in Research Mathematics and Education in the United States (2004), Korean Institute for Advanced Study/Korean Women in Mathematical Sciences/First Intl. Worskshop for Korean Women in Math. [pdf]
  6. J.M. Hawkins and L. Koss, Parametrized dynamics of the Weierstrass elliptic function, Conform. Geom. Dyn., vol. 8 (2004), pp. 1--35 [MR2060376]
  7. J.M. Hawkins and L. Koss, Ergodic properties and Julia sets of Weierstrass elliptic functions, Monatsh. Math., vol. 137 no. 4 (2004), pp. 273-300 [MR2003j:37066]
  8. J.M. Hawkins, Ergodic theory, in Encyclopedia of Nonlinear Science, NL3621, edited by Alwyn Scott (2004), pp. 4 pages, Routledge
  9. J.M. Hawkins, Lebesgue ergodic rational maps in parameter space Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13 (2003), no. 6, 1423--1447, Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 13 no. 6 (2003), pp. 1423--1447 [MR2004e:37065]
  10. J.M. Hawkins and M. E. Taylor, Maximal Entropy Measure for Rational Maps and a Random Iteration Algorithm, appendix to Lebesgue ergodic rational maps in parameter space, Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 13 no. 6 (2003), pp. 1442--1447
  11. J.M. Hawkins, McMullen's root-finding algorithm for cubic polynomials, Proc. Amer. Math. Soc., vol. 130 no. 9 (2002), pp. 2583--2592 [MR2003k:37062]  [abs]
  12. J.M. Hawkins, How I Became a Mathematician, in Bob Ryan's 2002 Almanac and Guide for the Weatherwise (2002), NBC4 Washington DC
  13. J.M. Hawkins and H. Bruin, Exactness and maximal automorphic factors of unimodal interval maps, Ergodic Theory Dynam. Sys., vol. 21 no. 4 (2001), pp. 1009--1034 [MR2002k:37060]  [abs]
  14. J.M. Hawkins, Casting Light on the Shadow of Doubt, book review on James Franklin's The Science of Conjecture, Science, vol. 294 (2001), pp. 527
  15. J.M. Hawkins and S. Eigen, Examples and properties of nonexact ergodic shift measures, Indag. Math. (N.S.), vol. 10 no. 1 (1999), pp. 25--44 [MR2000g:28036]
  16. J.M. Hawkins and C. E. Silva, Characterizing mildly mixing actions by orbit equivalence of products, N.Y Jour. of Math., vol. 3A (1998), pp. 99--115 [MR99b:28019]
  17. J.M. Hawkins and H. Bruin, Examples of expanding C^1 maps having no sigma-finite invariant measure equivalent to Lebesgue, Israel J. Math, vol. 108 (1998), pp. 83--107 [MR2000i:37051]
  18. J.M. Hawkins and K. Dajani, A construction of a non-measure-preserving endomorphism using quotient relations and automorphic factors, Math. Anal. and Appl., vol. 204 (1996), pp. 854--867 [MR1422777]
  19. J.M. Hawkins and K. Dajani, Examples of natural extensions of nonsingular endomorphism, Proc. AMS, vol. 120 (1994), pp. 1211--1217 [MR1174489]
  20. J.M. Hawkins, Amenable relations for endomorphisms, Trans. AMS, vol. 343 no. 1 (1994), pp. 169--191 [MR1179396]
  21. J.M. Hawkins and K. Dajani, Rohlin factors, product factors, and joinings for n-to-one maps, Indiana Univ. Math. Jour., vol. 42 no. 1 (1993), pp. 237--258 [MR1218714]
  22. J.M. Hawkins and C. Silva, Noninvertible transformations admitting no absolutely continuous sigma-finite invariant measure, Proc. AMS, vol. 111 no. 2 (1991), pp. 455--463 [MR1045139]
  23. J.M. Hawkins, Diffeomorphism of manifolds with nonsingular Poincare flows, J. Math. Anal. and Appl., vol. 145 no. 2 (1990), pp. 419--430 [MR1038167]
  24. J.M. Hawkins, Properties of ergodic flows associated to product odometers, Pac. J. Math, vol. 141 no. 2 (1990), pp. 287--294 [MR1035444]
  25. J.M. Hawkins, Ratio sets of endomorphisms which preserve a probability measure, in Measure and Measurable Dynamics, AMS Contemp. Math., vol. 94 (1989), pp. 159--170, AMS [MR1012986]
  26. J.M. Hawkins and C. Silva, Remarks on recurrence and orbit equivalence of nonsingular endomorphisms, in Dynamical Systems Proceedings, Univ. of Md., Springer Lec. Notes in Math, vol. 1342 (1988), pp. 281--290, Springer Verlag [MR0970561]
  27. J.M. Hawkins and E. A. Robinson, Jr., AT(2) flows and transformations have simple spectrum, in Dynamical Sys. Proc., University of Maryland, Springer Lec. Notes in Math., vol. 1342 (1988), pp. 259--280, Springer-Verlag [MR0970560]
  28. J.M. Hawkins, J.R Choksi, and V. S. Prasad, Abelian cocycles for nonsingular ergodic transformations and the genericity of type III transformations, Monat. Math., vol. 103 no. 3 (1987), pp. 187--205 [MR0894170]
  29. J.M. Hawkins, AT(p) group actions (1986)  [author's comments]
  30. Hawkins, Jane M., Smooth {$T\sp n$}-valued cocycles for ergodic diffeomorphisms, Proceedings of the American Mathematical Society, vol. 93 no. 2 (1985), pp. 307--311 (ISSN: 0002-9939.) [MR770542]
  31. Hawkins, J. and Woods, E. J., Approximately transitive diffeomorphisms of the circle, Proceedings of the American Mathematical Society, vol. 90 no. 2 (1984), pp. 258--262 (ISSN: 0002-9939.) [MR727245]
  32. Hawkins, Jane, Smooth type {${\rm III}$} diffeomorphisms of manifolds, Transactions of the American Mathematical Society, vol. 276 no. 2 (1983), pp. 625--643 (ISSN: 0002-9947.) [MR688966]
  33. Hawkins, Jane, Non-{ITPFI} diffeomorphisms, Israel Journal of Mathematics, vol. 42 no. 1-2 (1982), pp. 117--131 (ISSN: 0021-2172.) [MR687939]
  34. J. Hawkins and K. Schmidt, On C^2 diffeomorphisms of the circle, Invent. Math., vol. 66 no. 3 (1982), pp. 511-518 [MR0662606]

Herschlag, Gregory

  1. G. Herschlag, G.J.M. Garcia, B. Button, R. Tarran, B. Lindley, B. Reinhardt, T.C. Elston, M.G. Forest, A mechanochemical model for auto-regulation of lung airway surface layer volume, Journal of Theoretical Biology, vol. 325 (May 21, 2013), pp. 42-51 [S0022519313000489]  [abs]
  2. G. Herschlag, L. Miller, Reynolds number limits for jet propulsion: A numerical study of simplified jellyfish, Journal of Theoretical Biology, vol. 285 no. 1 (September 21, 2011), pp. 84-95 [S0022519311002876]  [abs]

Herzog, David P

  1. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows I (April, 2014) [pdf]
  2. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows II (April, 2014) [pdf]
  3. D.P. Herzog and Nathan Totz, An extension of H\"{o}rmander's hypoellipticity theorem (February, 2014) [pdf]  [abs]
  4. D.P. Herzog, Marc Ryser, David Sivakoff, Kevin McGoff, Evan Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (February, 2014)
  5. J. Birrell, D.P. Herzog, and J. Wehr, The transition from ergodic to explosive behavior in a family of stochastic differential equation., Stochastic Processes and their Applications, vol. 122 no. 5 (April, 2012), pp. 1519-1539 [pdf]
  6. K. Gawedzki, D.P. Herzog, J. Wehr, Ergodic properties of a model for turbulent dispersion of inertial particles, edited by Michael Aizenman, Communications in Mathematical Physics, vol. 308 no. 1 (November, 2011), pp. 49-80 [pdf]
  7. D.P. Herzog, Geometry's fundamental role in the stability of stochastic differential equations (May, 2011) [866174907]

Heymann, Matthias

  1. M. Heymann, E. Vanden-Eijnden, The Geometric Minimum Action Method - A Least Action Principle on the Space of Curves, CPAM, vol. 61 no. 8 (August, 2008), pp. 1052-1117, Wiley InterScience
  2. E. Vanden-Eijnden, M. Heymann, The Geometric Minimum Action Method for Computing Minimum Energy Paths, Journal of Chemical Physics, vol. 128 no. 061103 (February 14, 2008)
  3. M. Heymann, E. Vanden-Eijnden, Pathways of maximum likelihood for rare events in non-equilibrium systems, Physical Review Letters, vol. 100 no. 14 (2007), pp. 140601

Hodel, Richard E

  1. R.E. Hodel, Arhangel skii's Solution to Alexandroff's Problem: A Survey, Topology and Its Applications 153, 2199-2217 (2006) [pdf]
  2. R.E. Hodel, Restricted versions of the Tukey-Teichmuller Theorem that are equivalent to the Boolean prime ideal theorem, Archive for Mathematical Logic 44, 459 - 472 (2005) [pdf]
  3. R.E. Hodel, Book review: G. Tourlakis, Lectures in Logic and Set Theory (Volume 2), 592 pages., Review of Modern Logic, vol. 10 (2004), pp. 155-159
  4. R.E. Hodel, Classical metrization theorems, in Encyclopedia of General Topology, edited by Hart, Nagata, Vaughan (2003), pp. 239-241, Elsevier
  5. R.E. Hodel, Modern metrization theorems, in Encyclopedia of General Topology, edited by Hart, Nagata, Vaughan (2003), pp. 242-246, Elsevier
  6. R.E. Hodel and J.E. Vaughan, Reflection theorems for cardinal functions, Topology and Its Applications, vol. 100 (2000), pp. 47-66
  7. R. Hodel, Book review: The Mathematical Legacy of Edward Cech, edited by Katetov and Simon, 441 pages., Modern Logic, vol. 6 (1996), pp. 333-339
  8. R.E. Hodel and J. E. Vaughan, Reflection theorems for cardinal functions, Topology and Its Applications 100(2000), 47-66
  9. R. E. Hodel, Neighborhood systems and cardinal functions: a unified aproach to metrization a, Topology and Its Applications 90 (1998), 31-56
  10. Richard E Hodel, History of generalized metrizable spaces, Handbook of the History of General Topology (volume II), edited by C. Aull and R. Lowen, Kluwer Academic Publishers (1998), 541-576
  11. Richard E Hodel, Metrizability of spaces satisfying Nagata's condition, Mathematica Japonica 47 (1998), 287-293
  12. R.E. Hodel and J.E. Vaughan, In memory of John Henderson Roberts (1906-1997), Topology Proceedings 23 (1998), 201-219
  13. Richard E Hodel, An Introduction to Mathematical Logic, PWS Publishing Company, 1995
  14. Richard E Hodel, k-structures and topology, Annals of New York Academy of Sciences, 728 (1994), 50-63

Holden, Joshua B.

  1. Joshua Holden, On the Fontaine-Mazur Conjecture for number fields and an analogue for function fields, Journal of Number Theory 81 (2000), no. 1, 16--47 [MRCMP 1 743 506], [available here]  [abs]
  2. Joshua Holden, Lang Moore, David Smith, and Jim Tomberg, Mathematica Tutor, Connected Curriculum Project [available here]
  3. Joshua Holden, Linear Filters, Connected Curriculum Project [available here]
  4. Joshua Brandon Holden, Distribution of Values of Real Quadratic Zeta Functions, Proceedings of the DIMACS Workshop on Unusual Applications of Number Theory , accepted 2000 [math.NT/0010285]  [abs]
  5. Joshua Brandon Holden, A quantitative Fontaine-Mazur analogue for function fields, Proceedings of the American Mathematical Society , submitted 2000 [math.NT/0010284]  [abs]
  6. Joshua Brandon Holden, First-hit analysis of algorithms for computing quadratic irregularity, Mathematics of Computation , submitted 2000 [math.NT/0011054]  [abs]
  7. Joshua Holden, Comparison of algorithms to calculate quadratic irregularity of prime numbers, Mathematics of Computation , accepted 2000 [math.NT/0010286], [available here]  [abs]
  8. Joshua Holden, Comparison of Algorithms to Calculate ``Quadratic Irregularity'' of Prime Numbers, In: Proceedings of the Conference on The Mathematics of Public-Key Cryptography, June 12--17, 1999, Fields Institute, Toronto [available here]
  9. Joshua Holden, Irregularity of prime numbers over real quadratic fields, In: Algorithmic number theory: third international symposium;proceedings, no. 1423 in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998 [MR2000m:11113], [available here]  [abs]

Huber, Mark

  1. M. L. Huber and R. L. Wolpert, Perfect Simulation of Matern Type III Repulsive Point Processes (September, 2008)  [abs]
  2. M. Huber, Perfect simulation with exponential tails, Random Structures and Algorithms, vol. 33 no. 1 (August, 2008), pp. 29--43, Wiley InterScience  [abs]
  3. M. Huber, Spatial Birth-Death-Swap Chains, Bernoulli (May, 2008)  [abs]
  4. M. Huber, Spatial point processes, in Handbook of MCMC, edited by Brooks, Gelman, Jones, Meng (April, 2008)
  5. M. Huber and J. Law, Fast approximation of the permanent for very dense problems, in Proceedings of the nineteenth annual ACM-SIAM Symposium on Discrete Algorithms (2008), pp. 681--689, SIAM, Philadelphia, PA, USA  [abs]
  6. James A. Fill, Mark L. Huber, Linear expected time perfect generation of proper colorings of low degree graphs (2008)  [abs]
  7. M. Huber, Perfect simulation for image restoration, Stochastic Models, vol. 23 no. 3 (August, 2007), pp. 475--487, Taylor and Francis  [abs]
  8. D. B. Woodard, S. Schmidler, and M. Huber, Conditions for Torpid Mixing of Parallel and Simulated Tempering on Multimodal Distributions, Stochastic Processes and their Applications (2007)
  9. D. B. Woodard, S. C. Schmidler and M. Huber, Conditions for Rapid Mixing of Parallel and Simulated Tempering on Multimodal Distributions, Annals of Applied Probability (2007)
  10. D. Hearn and M. Huber, The Ancestral Distance test: A topdown approach to detect correlated evolution in large lineages with missing character data and incomplete phylogenies, Systematic Biology, vol. 55 no. 5 (October, 2006), pp. 803--817, Taylor & Francis  [abs]
  11. M. Huber, Y. Chen, I. Dinwoodie, A. Dobra, and M. Nicholas, Monte Carlo algorithms for Hardy-Weinberg proportions, Biometrics, vol. 62 no. 1 (March, 2006), pp. 49--53, Blackwell Synergy  [abs]
  12. F. Mitha and M. Huber, Monotonic Multigamma coupling for perfect sampling, TOMACS (2006)  [abs] [author's comments]
  13. Mark L. Huber, Fast perfect sampling from linear extensions, Discrete Mathematics, vol. 306 (2006), pp. 420--428, Elsevier  [abs]
  14. M. Huber, Exact sampling from perfect matchings in dense regular graphs, Algorithmica, vol. 44 (2006), pp. 183--193, Springer Science+Business Media, Inc.  [abs]
  15. B. P. Tighe, J. E.S. Socolar, D.G. Schaeffer, W. G. Mitchener, and M. L. Huber, Force distributions in a triagonal lattice of rigid bars, Physical Review E, vol. 72 no. 031306 (2005), APS Journals [e031306]  [abs]
  16. Yuguo Chen, Ian Dinwoodie, Adrian Dobra, and Mark Huber, Lattice Point, contingency tables and sampling, Contemporary Mathematics, vol. 374 (2005), pp. 65--78, American Mathematical Society  [abs]
  17. Mark Huber, Perfect sampling using bounding chains, The Annals of Applied Probability, vol. 14 no. 2 (August, 2004), pp. 734--753, Institute of Mathematical Statistics  [abs]
  18. M. Huber, G. Reinert, The Stationary Distribution in the Antivoter Model: Exact Sampling and Approximations, in Stein's Method: Expository Lectures and Applications (2004), pp. 79--94  [abs]
  19. Y. Chen, I. Dinwoodie, A. Dobra, and M. Huber, Lattice points, contingency tables, and sampling, 6th SIAM Conference on Dynamical Systems (2003)
  20. Mark L. Huber, A bounding chain for Swendsen-Wang, Random Structures and Algorithms, vol. 22 no. 1 (2002), pp. 53--59  [abs]
  21. J. A. Fill and M. L. Huber, The Randomness Recycler approach to perfect sampling, 53rd Annual Meeting of the ISI (2001), pp. 69--72  [abs]
  22. A. Benjamin, M. Huber, M. Fluet, Optimal Token Allocations in Solitaire Knock 'm Down, The Electronic Journal of Combinatorics, vol. 8 no. 2 (2001), pp. 1--8  [abs]
  23. James A. Fill, Mark L. Huber, The Randomness Recycler: A new technique for perfect sampling, Proceeding of the 41th Annual IEEE Symposium on the Foundations of Computer Science (2001)  [abs]
  24. Mark L. Huber, A faster method for sampling independent sets, Proceedings of the 11th Annual ACM-SIAM Symposium on Discrete Algorithms (2000), pp. 624-626  [abs]
  25. Stephen Ahearn, Mark L. Huber, Gary Sherman, Finite groups can be arbitrarily Hamiltonian, Communications in Algebra, vol. 27 no. 3 (1999), pp. 1013--1016  [abs]
  26. M. Huber, Exact Sampling and Approximate Counting Techniques, Proc. 30th ACM Symposium on Theory of Computing (1998), pp. 31--40  [abs] [author's comments]

Jackson, Trachette

  1. Jackson, T.L., Senter, P.D., and Murray, J.D., Development and Validation of a Mathematical Model to Describe Anti-cancer Prodrug Activation by Antibody-Enzyme Conjugates., J. Theo. Med., vol. 2 (2000) pp. 93-111
  2. Jackson, T.L., Bryne H., A Mathematical Model to Study the Effects of Drug resistance and Vasculature on the Response ofSolid Tumors to Chemotherapy., Math. Biosic. vol. 164 (2000) pp. 17-38
  3. Jackson, T.L., Vascular tumor growth and treatment: Consequences of polyclonatiy, competition, and dynamic vascular support
  4. Lubkin, S.R. and Jackson, T.L., Multiphase Mechanics of Capsule Formation in Tumors, J. Biomech. Eng. , submitted 2000
  5. Jackson, T.L., Byrne, H.M., Spatio-temporal model of the mitotic clock in avascular tumors , submitted 2000
  6. Jackson, T.L., Lubkin, S.R, and Murray, J.D., Theoretical Analysis of Conjugate Localization in Two-Step CancerChemotherapy., J. Math. Biol., vol. 39-4 (1999), pp. 353-376
  7. T.L. Jackson, S.R. Lubkin, N.O. Siemers, D. Kerr, P.D. Senter, and J.D. Murray, Mathematical and Experimental Analysis of Localization of Anti-Tumor Antibody Enzyme Conjugates, Br. J. of Cancer, vol. 80-11, (1999), pp. 1747-1753
  8. B. Tang, A. Sitomer, and T.L. Jackson, Population Dynamics and Competition in Chemostat Models with Adaptive Nutrient Uptake, J. of Math. Bio, vol. 35, (1997), pp. 453-479

Jafari, Amir

  1. A. Jafari & H. Furusho, Regularization and generalized double shuffle relations for p-adic multiple zeta values (October, 2005) [math.NT/0510681]  [abs]
  2. A. Jafari & H.Furusho, Algebraic cycles and motivic generic iterated integrals. (June, 2005) [math.NT/0506370]  [abs]
  3. A. Jafari, A.Greenwald, A genral Class of No-Regret Learning Algorithms and Game-Theoretic Equilibria, Proceedings of the sixteenth annual conference on computational learning theory (August, 2003), pp. 1-11
  4. A. Jafari, A. Greenwald, D. Gondek, E. Ercal, On No Regret Learning, Fictitious Play, and Nash Equilibrium, Proceedings of the Eighteen International conference on machine learning (June, 2001), pp. 226-234

Jayaraman, Anandhan

  1. A. Jayaraman and A. Belmonte, Oscillations of a solid sphere falling through a wormlike micellar fluid, Phys. Rev. E, vol. 67 (2003), pp. 065301(R) [e065301]  [abs]
  2. Belmonte, Andrew and Jacobsen, Jon and Jayaraman, Anandhan, Monotone solutions of a nonautonomous differential equation for a sedimenting sphere, Electron. J. Differential Equations (2001), pp. No. 62, 17 pp. (electronic) [html]
  3. Crawford, John David and Jayaraman, Anandhan, First principles justification of a ``single wave model'' for electrostatic instabilities, Phys. Plasmas, vol. 6 no. 3 (1999), pp. 666--673 [GetabsServlet]
  4. Crawford, John David and Jayaraman, Anandhan, Amplitude equations for electrostatic waves: multiple species, J. Math. Phys., vol. 39 no. 9 (1998), pp. 4546--4577 [GetabsServlet]
  5. J.D. Crawford, A. Jayaraman, Nonlinear saturation of electrostatic waves: mobile ions modify trapping scaling, Phys. Rev. Lett., vol. 77 (1996), pp. 3549 [p3549]

Joshi, Badal

  1. Badal Joshi and Anne Shiu, Simplifying the Jacobian Criterion for precluding multistationarity in chemical reaction networks, SIAM Journal on Applied Mathematics, vol. 72 no. 3 (June, 2012), pp. 857-876 [arXiv:1106.1578v2]
  2. Mainak Patel and Badal Joshi, Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter (2012)
  3. Badal Joshi, Order of magnitude time-reversible Markov chains and characterization of clustering processes (October, 2011) [arXiv:1110.5489v1]
  4. Badal Joshi and Anne Shiu, Atoms of multistationarity in chemical reaction networks (2011) [arXiv:1108.5238v2]
  5. Badal Joshi, Xueying Wang, Sayanti Banerjee, Haiyan Tian, Anastasios Matzavinos, and Mark A.J. Chaplain, On immunotherapies and cancer vaccination protocols: A mathematical modelling approach, Journal of Theoretical Biology, vol. 259 no. 4 (May, 2009), pp. 820-827
  6. Andrew J. Gall, Badal Joshi, Janet Best, Virginia R. Florang, Jonathan A. Doorn, Mark S. Blumberg, Developmental emergence of power-law wake behavior depends upon the functional integrity of the Locus Coeruleus, Sleep, vol. 32 no. 7 (April, 2009), pp. 920-926

Ju, Ning

  1. Ning Ju and Stephen Wiggins, On Roughness of Exponential Dichotomy, Journal of Mathematical Analysis and Application,264 (2001), 39-49
  2. Ning Ju, Existence of Global Attractor for the 3D Modified Navier-StokesEquations, Nonlinearity, 14 (2001), 777-786.
  3. Ning Ju and Stephen Wiggins, An Integral Manifold Theorem for an Unbounded Non-autonoumous System , preprint 2001
  4. Ning Ju, On the Global Stability of Temporal Discretization of the Navier-Stokes Equations,, IMA Journal of Numer. Anal. 2001 , accepted 2001
  5. N. Ju, D. Small and S. Wiggins, Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations. , submitted 2001
  6. Ning Ju, The H^1-compact global attractor for the solutions to the Navier-Stokes equations in two-dimensional unbounded domains., Nonlinearity 13 (2000), no. 4, 1227--1238
  7. Ning Ju, Estimates of asymptotic degrees of freedom for solutions to the Navier-Stokes equations., Nonlinearity 13 (2000), no. 3, 777--789.
  8. Ning Ju, Numerical analysis of parabolic p-Laplacian: approximation of trajectories., SIAM J. Numer.Anal. 37 (2000), no. 6, 1861--1884

Katz, Eric E.

  1. Eric Katz, The Tropical Degree of Cones in the Secondary Fan (2006) [math.AG/0604290]
  2. Eric Katz, A Tropical Toolkit (2006) [math.AG/0610878]  [abs]
  3. Eric Edward Katz, Formalism for Relative Gromov-Witten Invariants, Journal of Symplectic Geometry (2005) [math.AG/0507321]  [abs] [author's comments]
  4. Eric Edward Katz, Line-Bundles on Stacks of Relative Maps (2005) [math.AG/0507322]  [abs] [author's comments]
  5. Eric Edward Katz, Topological Recursion Relations by Localization (2003) [math.AG/0310050]  [author's comments]

Kim, Chisup

  1. Chisup Kim, A two-level preconditioner for an anisotropic mixed finite element problem , preprint 2002
  2. Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, and Panayot S. Vassilevsk, Multiplier spaces for the mortar finite element method in three dimensions, SIAM Journal on Numerical Analysis, vol. 39 (2001), pp. 519-538 [36706]  [abs]

Kim, Hwanho

  1. Hwanho Kim, Jinchao Xu, and Ludmil Zikatanov, A multigrid method based on graph matching for convection diffusion equations, SIAM J. Sci. Comput. , submitted 1999 [ps]

Kitchen, Joseph

  1. Joseph Kitchen, D.A. Robbins, Maximal ideals in algebras of vector-valued functions, J. Math. and Math. Sci. 19 (3) (1996), 549-554
  2. Joseph Kitchen, D.A. Robbins, Bundles of Banach Algebras, Internat. J. Math. & Math. Sci. 17 (1994), 671-680
  3. Joseph Kitchen, D.A. Robbins, Bundles of Banach Algebras, II, Houston J. Math. 20 (3) (1994), 435-451

Kraines, David

  1. David P. Kraines & Vivian Y. Kraines, Protocols for Cooperation; Cultural Diversity of Strategies for the Alternating Prisoner's Dilemma , submitted 2003 [pdf]
  2. David Kraines & Vivian Kraines, Natural selection of memory-one strategies for the iterated prisoner's dilemma, Journal of Theoretical Biology 203 (2000) 335-355
  3. David Kraines, Vivian Kraines, The Threshold of Cooperation among Adaptive Agents: Pavlov and the Stag Hunt, Lecture Notes in Artificial Intelligence, Springer Verlag, 1193 (1997), 219-231.
  4. David Kraines, Vivian Kraines, Evolution of learning among Pavlov strategies, J. Conflict Resolution 39 (1995), 439-466.
  5. David Kraines, Vivian Kraines, Learning to Cooperate with Pavlov: An adaptive strategy for the iterated Prisoner's Dilemma with noise, Theory and Decision 35 (1993), 107-150.
  6. David Kraines, The case for single purpose mathematical software, Fifth International Conference on Technology in Collegiate Mathematics, 1993.
  7. David P. Kraines, Vivian Y. Kraines, Linear algebra software for the IBM-PC, Coll. Math. J. 21 (1990), 57--64
  8. David P. Kraines, Vivian Y. Kraines, Pavlov and the Prisoner's Dilemma, Theory and Decision 26 (1989), 47--79.
  9. David P. Kraines, David A. Smith, Computers in the classroom, Coll. Math J. 19 (1988), 261--267.
  10. David P. Kraines, Vivian Y. Kraines, Linear algebra with computers, Discipline Symposium, ACIS, (1987), 13--22.
  11. David P. Kraines, Thomas Lada, The cohomology of the Dyer-Lashof algebra, Contemporary Mathematics 19 (1983), 145--152.
  12. David P. Kraines, Thomas Lada, Applications of the Miller spectral sequence, Canadian Math. Soc. Proc. 2 (1982), 145--152
  13. David P. Kraines, Robert Geist and Pamela Fink, Natural language computing in a linear algebra course, Proc. National Educational Computing Conf. (1982), 203-208
  14. David P. Kraines, Cohomology theories and transfer, Brazilian Math Society (IMPA) 1981
  15. David P. Kraines, Thomas Lada, A counterexample to the transfer conjecture, Lecture Notes in Math. 741 Springer-Verlag (1979), 588--624.
  16. David P. Kraines, The kernel of the loop suspension map, Illinois. J. Math. 21 (1977), 91--108.
  17. David P. Kraines, The kernel of the loop map, . Topology and its Applications Lecture Notes in Pure and Applied Mathematics, 12, 1975
  18. David P. Kraines, Twisted multiplications on generalized Eilenberg-MacLane spaces, Math. Scand. 32 (1973), 273--285.
  19. David P. Kraines, The {A}(p) cohomology of some k stage Postnikov systems, Comm Math Helv. 48 (1973), 56--71.
  20. David P. Kraines, Claude Schochet, Differentials in the Eilenberg-Moore spectral sequence, J. for Pure and Applied Algebra 21 (1972) 131-142
  21. David P. Kraines, Approximations to self dual Hopf algebras, American J. of Math. (1972), 963--973.
  22. David P. Kraines and Byron Drachman, A duality between transpotence elements and Massey products, Pac. J. Math. (1971), 119--123
  23. David P. Kraines, , On excess in the Milnor basis,, Bull. London Math. Soc. (1971), 363--365
  24. David P. Kraines, The cohomology of certain k stage Postnikov systems, Proc. the Advanced Inst. on Algebraic Topology, 1, Aarhus (1970), 212--239.
  25. David P. Kraines, Rational cohomology operations and Massey products, Proc. Amer. Mat. Soc. (1969), 238--241
  26. David P. Kraines, Primitive chains and H*(Omega X), Topology 8 (1969) 31-38
  27. David P. Kraines, Loop Operations, Conf on Algebraic Topology, UICC (1968) 31-38
  28. David P. Kraines, Massey higher products, Trans Amer Math Soc 124 (1966) 431-449
  29. David P. Kraines, Higher products, Bull. Amer. Math Soc 72 (1966) 128-131

Lawler, Gregory F

  1. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, On the scaling limit of planar self-avoiding walk , preprint 2002 [math.PR/0204277]
  2. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents I: half-plane exponents, Acta. Math. 187 (2001), 237--273 [math.PR/9911084]
  3. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents II: plane exponents, Acta Math. 187 (2001), 275--308 [math.PR/0003156]
  4. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, One-arm exponent for critical 2D percolation, Electronic J. of Probability, 7 (2002), paper no. 2 [~ejpecp]
  5. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Values of Brownian intersection exponents III: Two-sided exponents, Ann. Inst. Henri Poincare' 38 (2002), pp 109--123 [math.PR/0005294]
  6. Gregory F. Lawler, Oded Scrhamm, and Wendelin Werner, Conformal invariance of planar loop-erased random walk and uniform spanning trees , preprint 2002 [math.PR/0112234]
  7. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Sharp estimates for Brownian non-intersection probabilities, to appear in In and Out of Equilbrium, Birkhauser , accepted 2001 [math.PR/0101247]
  8. Gregory F. Lawler, An introduction to the stochastic Loewner evolution , preprint 2001 [html]
  9. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, The dimension of the planar Brownian frontier is 4/3, Math. Research Letters 8 (2001), 401--411
  10. Gregory F. Lawler, Oded Schramm, and Wendelin Werner, Analyticity of intersection exponents for planar Brownian motion, Acta Math. , accepted 2001 [math.PR/0005295]
  11. Gregory F. Lawler and Wendelin Werner, Universality for conformally invariant intersection exponents, J. European Math. Soc. 2 (2000) , 291--328
  12. Gregory F. Lawler, Cut times for Brownian motion and random walk, Proceedings of Conference in Honor of Paul Erdos , accepted 2000 [html]  [abs]
  13. Gregory F. Lawler, Strict concavity of the half plane intersection exponent for planar Brownian motion, Electronic Journal of Probability 5 (2000), paper no. 8 [~ejpecp]
  14. Gregory F. Lawler, Emily Puckette, The intersection exponent for simple random walk, Combinatorics, Probability, and Computing 9 (2000), 441--464
  15. Gregory F. Lawler and Wendelin Werner, Intersection exponents for planar Brownian motion, Annals of Probability 27 (1999), 1601-1642
  16. Gregory F. Lawler and Lester N. Coyle, Lectures on Contemporary Probability, AMS Student Mathematical Library (1999)  [abs]
  17. Gregory F. Lawler, A lower bound on the growth exponent for loop-erased walk in two dimensions, ESAIM: Probability and Statistics 3 (1999),1-21
  18. Gregory F. Lawler, Multifractal nature of two dimensional simple random walk paths, Random Walks and Discrete Potential Theory, M. Picardello and W. Woess, ed., Cambridge University Press (1999), 231--264.
  19. Gregory F. Lawler, Self-Avoiding Walk (N. Madras and G. Slade), Annals of Probability 27 (1999), 606-609
  20. Gregory F. Lawler, Loop-erased random walk, Perplexing Problems in Probability, Birkhauser-Boston (1999), 197--217
  21. Gregory F. Lawler, Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions, Bolyai Mathematical Society Studies, 9 (1999), 219-258
  22. Gregory F. Lawler, Strict concavity of the intersection exponent for Brownian motion in two and three dimensions, Mathematical Physics Electronic Journal 5 (1998), #5
  23. Gregory F. Lawler, Loop-erased walks intersect infinitely often in four dimensions, Electronic Communications in Probability 3 (1998), 35-42 [~ejpecp]
  24. Gregory F. Lawler, A note on the Green's function for random walk in four dimensions, Duke University Math Preprint 94-03 , preprint 1998
  25. Gregory F. Lawler, The frontier of a Brownian path is multifractal, preprint , preprint 1998
  26. Gregory F. Lawler, Emily E. Puckette, The disconnection exponent for simple random walk, Israel Journal of Mathematics 99 (1997), 109-122.
  27. Gregory F. Lawler, Hausdorff dimension of cut points for Brownian motion, Electronic Journal of Probability 1 (1996), #2 [~ejpecp]
  28. Gregory F. Lawler, Cut points for simple random walk, Electronic Journal of Probability 1 (1996), #13 [~ejpecp]
  29. Gregory F. Lawler, The dimension of the frontier of planar Brownian motion, Electronic Communications in Probability 1 (1996), 29-47 [~ejpecp]
  30. Gregory F. Lawler, Aspects and Applications of Random Walk (G. Weiss), SIAM Review \bf 37 (1995) 470-471
  31. Gregory F. Lawler, Subdiffusive fluctuations for internal diffusion limited aggregation, Annals of Probability 23 (1995), 71-86
  32. Gregory F. Lawler, The logarithmic correction for loop-erased walk in four dimensions, Proceedings of the Conference in Honor of J.P. Kahane, special issue of Journal of Fourier Analysis and Applications, CRC Press (1995), 347-362
  33. Gregory F. Lawler, Recurrence and transience for a card shuffling model, Combinatorics, Probability, and Computing 4 (1995), 133-142
  34. Gregory F. Lawler, Nonintersecting planar Brownian motions, Mathematical Physics Electronic Journal 1 (1995), #4
  35. Gregory F. Lawler, Introduction to Stochastic Processes, CRC Chapman and Hall (1995)
  36. Gregory F. Lawler, Random walks: simple and self-avoiding, Topics in Comtemporary Probability and its Applications, J. Laurie Snell, ed., CRC (1995), 55-74
  37. Gregory F. Lawler, Random Walks, Brownian Motion, and Interacting Particle Systems, a Festschrift for Frank Spitzer (R. Durrett, H. Kesten, ed.), Metrika 41 (1994) 254-255
  38. Gregory F. Lawler, Random walks, harmonic measure, and Laplacian growth models, Probability and Phase Transitions, ed. G. Grimmett, Kluwer (1994), 191-208
  39. Gregory F. Lawler and Thomas Polaski, Harnack inequalities and difference estimates for random walks with infinite range, Journal of Theoretical Probability, 6 (1993), 781-802
  40. Gregory F. Lawler, On the covering time of a disc by simple random walk in two dimensions, Seminar on Stochastic Processes, 1992, Birkh\"auser-Boston (1993), 189-208
  41. Bertrand Duplantier, Gregory F. Lawler, Jean-Francois Le Gall, and Terry Lyons, The geometry ofthe Brownian curve, Bull. Sci. Math, 2eme serie, 117 (1993), 91-106
  42. Gregory F. Lawler, A discrete analogue of a theorem of Makarov, Combinatorics, Probability, and Computing 2 (1993), 181-200
  43. Harry Kesten and Gregory F. Lawler, A necessary condition for making money from fair games, Annals of Probability 20 (1992), 855--882
  44. Gregory F. Lawler, Maury Bramson, and David Griffeath, Internal diffusion limited aggregation, Annals of Probability 20 (1992), 2117-2140
  45. Gregory F. Lawler, Escape probabilities for slowly recurrent sets, Probability Theory and Related Fields 94 (1992), 91-117
  46. Gregory F. Lawler, $L$-shapes for the logarithmic $\eta$-model for DLA in three dimensions, Seminar on Stochastic Processes, 1991, Birkh\"auser-Boston (1992), 97--122
  47. Gregory F. Lawler, Intersections of Random Walks, Birkhauser-Boston (1991, softcover edition 1996)
  48. Gregory F. Lawler, Estimates for differences and Harnack's inequality for difference operators coming from random walks with symmetric, spatially inhomogeneous increments, Proceedings of London Mathematical Society 63 (1991), 552--568
  49. Gregory F. Lawler, Intersection probabilities for random walks, Mathematics of Random Media, AMS Lectures in Applied Mathematics 27 (1991), 73--86
  50. Richard Durrett, Harry Kesten, and Gregory F. Lawler, Making money from fair games, Random Walks, Brownian Motion and Interacting Particle Systems, Birkh\"auser, Boston (1991), 255-267
  51. Gregory F. Lawler, Problems on the geometry of random walk paths, Probability Models in Mathematical Physics, World Scientific (1991), 135--143
  52. Krzysztof Burdzy and Gregory F. Lawler, Non-intersection exponents for random walk and Brownian motion. Part I: Existence and an invariance principle, Probability Theory and Related Fields 84 (1990), 393--410
  53. Krzysztof Burdzy and Gregory F. Lawler, Non-intersection exponents for random walk and Brownian motion. Part II: Estimates and applications to a random fractal, Annals of Probability 18 (1990), 981--1009
  54. Gregory F. Lawler, The Edwards model and the weakly self-avoiding walk, Journal of Physics A 23 (1990), 1467--1470#
  55. Krzysztof Burdzy and Gregory F. Lawler, Rigorous exponent inequalities for random walks, Journal of Physics A 23 (1990), L23--L28
  56. J. Roerdink, K. Shuler, and Gregory F. Lawler, Diffusion in lattices with anisotropic scatterers, Journal of Statistical Physics 59 (1990) , 23--52
  57. Gregory F. Lawler, Low density estimates for a two-state random walk in random environment, Journal of Mathematical Physics 30 (1989), 145-157
  58. Gregory F. Lawler and John Sylvester, Determining resistances from boundary measurements in finite networks, SIAM Journal on Discrete Mathematics 2 (1989), 231-239
  59. Gregory F. Lawler, The infinite self-avoiding walk in high dimensions, Annals of Probability 17 (1989), 1367--1376
  60. Gregory F. Lawler, Intersections of random walks with random sets, Israel Journal of Mathematics 65 (1989), 113-132
  61. Krzysztof Burdzy, Gregory F. Lawler, and Thomas Polaski, On the critical exponent for random walk intersections, Journal of Statistical Physics { 56 (1989), 1-12
  62. Joe Blum, Gregory F. Lawler, Michael Reed, and Insun Shin, The effect of cytoskeletal geometry on intracellular diffusion, Biophysical Journal 56 (1989), 995--1005
  63. Gregory F. Lawler, Loop-erased self-avoiding random walk in two and three dimensions, Journal of Statistical Physics 50 (1988), 91-108
  64. Gregory F. Lawler and Alan Sokal, Bounds on the L_2 spectrum for Markov chains and Markov processes: a generalization of Cheeger's inequality, Trans. Amer. Math. Soc. 309 (1988), 557-580.
  65. Gregory F. Lawler, Loop-erased self-avoiding random walk and the Laplacian random walk, Journal of Physics A. 20 (1987), 4565-4568
  66. Gregory F. Lawler, Expected hitting time for a random walk on a connected graph, Discrete Mathematics 61 (1986), 85-92
  67. Gregory F. Lawler, Gaussian behavior of loop-erased self-avoiding random walk in four dimensions, Duke Mathematical Journal 53 (1986), 249-270
  68. Gregory F. Lawler, Intersections of random walks in four dimensions II, Comm. Math. Phys. 97 (1985), 583-594
  69. Gregory F. Lawler, Intersections of simple random walks, AMS Contemporary Mathematics 41 (1985), 281-289
  70. Gregory F. Lawler and Robert Vanderbei, Markov strategies for optimal control problems indexed by a partially ordered set, Annals of Prob. 11 (1983), 642-647
  71. Gregory F. Lawler, A discrete stochastic integral inequality and balanced random walk in a random environment, Duke Mathematical Journal 50 (1983), 1261-1274
  72. Gregory F. Lawler, A connective constant for loop-erased self-avoiding random walk, J. Appl. Prob. 20 (1983), 264-276
  73. Gregory F. Lawler, The probability of intersection of independent random walks in four dimensions, Commun. Math.Phys 86 (1982), 539-554
  74. Gregory F. Lawler, Weak convergence of a random walk in a random environment, Commun. Math. Phys. 87 (1982), 81-87
  75. Gregory F. Lawler, A self-avoiding random walk, Duke Mathematical Journal 47 (1980), 655-694.

Lawlor, David

  1. D. Lawlor, Y. Wang, and A. Christlieb, A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data (Spring, 2013) [arXiv:1304.4517]  [abs]
  2. D. Lawlor, Y. Wang, and A. Christlieb, Adaptive sub-linear Fourier algorithms, Advances in Adaptive Data Analysis, vol. 5 no. 1 (January, 2013), World Scientific, ISSN 1793-5369 [arXiv:1207.6368]  [abs]

Layton, Anita T

  1. H. Nganguia, Y.-N. Young, A.T. Layton, W.-F. Hu, and M.-C. Lai, An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow, Comm Comput Phys (2014)
  2. Aurelie Edwards and Anita T. Layton, Calcium dynamics underlying the myogenic response of the renal afferent arteriole, Am J Physiol Renal Physiol, vol. 306 no. F34-F48 (2014)
  3. Ioannis Sgouralis and Anita T. Layton, Theoretical assessment of renal autoregulatory mechanisms, Am J Physiol Renal Physiol, vol. 306 (2014), pp. F1357-F1371
  4. Robert Moss and Anita T. Layton, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model, Am J Physiol Renal Physiol, vol. 306 (2014), pp. F952-F969
  5. Hwayeon Ryu and Anita T. Layton, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney, J Math Biol, vol. 68 (2014), pp. 1023-1049
  6. Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube, Numer. Math. Theor. Meth. Appl., in press (2014)
  7. Thomas L. Pannabecker and Anita T. Layton, Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture, Am J Physiol Renal Physiol, vol. 307 no. 6 (2014), pp. F649-F655
  8. Julia Arcerio, Laura Ellwein, Ashley N. Ford Versypt, Elizabeth Markride, and Anita T. Layton, Modeling blood flow in the kidney, IMA volume (2014)
  9. Ioannis Sgouralis, Roger Evans, Bruce S. Gardiner, Julian A Smith, Brendan C. Fry, and Anita T. Layton, Renal hemodynamics, function and oxygenation during cardiac Surgery performed on cardiopulmonary bypass: A modeling study, Physiol Report, submitted (2014)
  10. Gregory J. Herschlag, Jian-Guo Liu, and Anita T. Layton, An exact solution for Stokes flow in an in nite channel with permeable walls, Phys Fluid, submitted (2014)
  11. Brendan C. Fry and Anita T. Layton, Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels, Math Biosci, in press (2014)
  12. Aurelie Edwards, Hayo Castrop, Kamel Laghmani, Volker Vallon, and Anita T. Layton, Regulation of NKCC2 isoform expression and NaCl transport in the thick ascending limb and macula densa cells, Am J Physiol Renal Physiol, vol. 307 (2014), pp. F137-F146
  13. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  14. Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton, Impact of renal medullary three-dimensional architecture on oxygen transport, Am J Physiol Renal Physiol, vol. 307 (2014), pp. F263-F272
  15. Anta T. Layton, Mathematical modeling of urea transport in the kidney, in Urea Transporters, in press, edited by Baoxue Yang (2013), Springer
  16. Karin Leiderman, Elizabeth L. Bouzarth, Ricardo Cortez, and Anita T. Layton, A regularization method for the numerical solution of periodic Stokes flow, J Comput Phys, vol. 236 no. 187-202 (2013)
  17. Aniel Nieves-Gonzalez, Chris Clausen, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Transport efficiency and workload distribution in a mathematical model of the thick ascending limb, Am J Physiol Renal Physiol, vol. 304 no. F653-F664 (2013)
  18. Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, Am J Physiol Renal Physiol, vol. 304 no. F634-F652 (2013)
  19. Anita T. Layton and Lise Bankir, Impacts of active urea secretion into pars recta on urine concentrating mechanism, Physiol Report, vol. 1 no. 3 (2013), pp. e00034
  20. Hwayeon Ryu and Anita T. Layton, Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb, Med Math Biol, vol. 30 no. 191-212 (2013)
  21. William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clin J Am Soc Nephrol (2013), pp. doi:10.2215/CJN.08750812
  22. Yi Li, Sarah A. Williams, and Anita T. Layton, A hybrid immersed interface method for driven stokes flow in an elastic tube, Numer. Math. Theor. Meth. Appl., vol. 6 no. 4 (2013), pp. 600-616
  23. Ioannis Sgouralis and Anita T. Layton, Control and modulation of fluid flow in the rat kidney, Bull Math Biol, vol. 75 (2013), pp. 2551-2574
  24. Sarah D. Olson and Anita T. Layton, Simulating Fluid-Structure Interactions --- A Review, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  25. Anita T. Layton and Aurelie Edwards, Mathematical Modeling of Renal Physiology, Lecture Notes on Mathematical Modelling in the Life Sciences, edited by Angela Stevens and Michael C. Mackey (2013), Springer
  26. Anita T. Layton, Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  27. Hwayeon Ryu and Anita T. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  28. Anita T. Layton, Mathematical modeling of kidney transport, WIRESs Syst Biol Med, vol. 5 (2013), pp. 557-573
  29. Gabor E. Linthorst, Lonneke Haer-Wigman, Jeff M. Sands, Janet D. Klein, Tiffany L. Thai, Arthur J. Verhoeven, Rob van Zwieten, Maaike C. Jansweijer, Alida C. Knegt, Minke H. de Ru, Jaap W. Groothoff, Michael Ludwig, Anita T. Layton, and Arend Bökenkamp, Familial azotemia caused by a duplication of the UT-B transporter, J Am Soc Nephrol, submitted (2012)
  30. Anita T. Layton, John Stockie, Zhilin Li, and Huaxiong Huang (editors), Fluid Motion Driven by Immersed Structures, A special issue of Commun Comput Phys, vol. 2 (2012)
  31. Gene Hou, Jin Wang, and Anita T. Layton, Numerical methods for fluid-structure interaction – a review, Comm Comput Phys, vol. 12 (2012), pp. 337-377
  32. Anita T. Layton and J. Thomas Beale, A partially implicit hybrid method for computing interface motion in Stokes flow, Discrete and Continuous Dynamical Systems B, vol. 17 (2012), pp. 1139-1153
  33. Ioannis Sgouralis and Anita T. Layton, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole, Am J Physiol Renal Physiol, vol. 303 no. F229-F239 (2012)
  34. Yi Li and Anita T. Layton, Accurate computation of Stokes flow driven by an open immersed interface, J. Compute. Phys., vol. 231 no. 15 (2012), pp. 5195-5215
  35. Anita T. Layton, Philip Pham, and Hwa-Yeon Ryu, Signal transduction in a compliant short loop of Henle, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 369-380
  36. Anita T. Layton, Rebecca Gilbert, and Thomas L. Pannabecker, Isolated interstitial nodal spaces may facilitate preferential solute and fluid mixing in the rat renal inner medulla, Am J Physiol Renal Physiol, vol. 302 no. 7 (2012), pp. F830-F839
  37. Anita T. Layton, William H. Dantzler, and Thomas L. Pannabecker, Urine concentrating mechanism: Impact of vascular and tubular architecture and a proposed descending limb urea-Na+ cotransporter, Am J Physiol Renal Physiol, vol. 302 no. 5 (2012), pp. F591-F605
  38. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, Am. J. Physiol. Renal Physiol., vol. 302 (2012), pp. F1188-F1202
  39. Natasha S. Savage, Anita T. Layton, and Daniel J. Lew, Mechanistic mathematical model of polarity in yeast, Mol Biol Cell, vol. 23 no. 10 (2012), pp. 1998-2013
  40. Anita T. Layton, A velocity decomposition approach for solving the immersed interface problem with Dirichlet boundary conditions, IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding (2012), pp. 263-270
  41. Anita T. Layton, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
  42. Anita T. Layton and Guowei Wei, Editorial: Interface methods for biological and biomedical problems, edited by 289-290, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012)
  43. Anita T. Layton and Guo-Wei Wei (editors), Interface Methods for Biological and Biomedical Problems, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 289-399
  44. Thoma Witelski, David Ambrose, Andrea Bertozzi, Anita Layton, and Zhilin Li (editors), Fluid Dynamics, Analysis and Numerics, Special issue of Discrete and Continuous Dynamical Systems - Series B (2012)
  45. Aurélie Edwards and Anita T. Layton, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Am J Physiol Renal Physiol, vol. 303 no. 7 (2012), pp. F907-F917
  46. Anita T. Layton, Natasha S. Savage, Audrey S. Howell, Susheela Y. Carroll, David G. Drubin, and Daniel J. Lew, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment, Curr Biol, vol. 21 (2011), pp. 1-11
  47. Anita T. Layton, A mathematical model of the urine concentrating mechanism in the rat renal medulla: I. Formulation and base-case results, Am J Physiol Renal Physiol, vol. 300 no. F356-F371 (2011)
  48. Anita T. Layton, A mathematical model of the urine concentrating mechanism in the rat renal medulla: II. Functional implications of three-dimensional architecture, Am J Physiol Renal Physiol, vol. 300 no. F372-F384 (2011)
  49. Jing Chen, Ioannis Sgouralis, Leon C. Moore, Harold E. Layton, and Anita T. Layton, A mathematical model of the myogenic response to systolic pressure in the afferent arteriole, Am J Physiol Renal Physiol, vol. 300 (2011), pp. F669-F681
  50. Anita T. Layton, Matthew Bowen, Amy Wen, and Harold E. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs, Math Biosci, vol. 230 (2011), pp. 115-127
  51. William H. Dantzler, Thomas L. Pannabecker, Anita T. Layton, and Harold E. Layton, Urine concentrating mechanism in the inner medulla of the mammalian kidney: Role of three-dimensional architecture, Acta Physiologica, vol. 202 no. 3 (2011), pp. 361-378
  52. Anita T. Layton and Harold E. Layton, Countercurrent multiplication may not explain the axial osmolality gradient, Am J Physiol Renal Physiol, vol. 301 (2011), pp. F1047-F1056
  53. Elizabeth L. Bouzarth, Anita T. Layton, and Yuan-Nan Young, Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets, Int J Numer Methods Biomed Eng, vol. 12 (2011), pp. 2021–2034
  54. Tianluo Lei, Lei Zhou, Anita T. Layton, Dan Zhao, Hong Zhou, Xin Li, Xuejian Zhao, Lise Bankir, Baoxue Yang, Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism, Am J Physiol Renal Physiol., vol. 301 (2011), pp. F1251-F1259
  55. Aurélie Edwards and Anita T. Layton, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, Am J Physiol Renal Physiol, vol. 301 no. F979-F996 (2011)
  56. Anita T. Layton and Aurelie Edwards, Tubuloglomerular feedback signal transduction in a short loop of Henle, Bull. Math. Biol., vol. 72 no. 1 (2010), pp. 34-62
  57. Milargros Loreto and Anita T. Layton, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney, Math. Biosci., vol. 223 (2010), pp. 66-78
  58. Anita T. Layton, Yusuke Toyama, Guo-Qiang Yang, Glenn S. Edwards, Daniel P. Kiehart, and Stephanos Venakides, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure, HFSP, vol. 3 no. 6 (2010), pp. 441-460
  59. Mariano Marcano, Anita T. Layton, and Harold E. Layton, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Bull. Math. Biol., vol. 7 no. 2 (2010), pp. 314-339
  60. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Functional implications of the three-dimensional architecture of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., vol. 298 (2010), pp. F973 - F987
  61. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Hyperfiltration and inner-stripe hypertrophy may explain findings by Gamble and co-workers, Am. J. Physiol. Renal Physiol., vol. 298 (2010), pp. F962 - F972
  62. Mark A. Hallen and Anita T. Layton, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305
  63. Jing Chen, Aurelie Edwards, and Anita T. Layton, Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla, Am J Physiol Renal Physiol, vol. 298 no. F1369 - F1383 (2010)
  64. Aurelie Edwards and Anita T. Layton, Nitric oxide and superoxide transport in a cross-section of the rat outer medulla. I. Effects of low medullary oxygen tension, Am J Physiol Renal Physiol, vol. 299 (2010), pp. F616-F633
  65. Aurelie Edwards and Anita T. Layton, Nitric oxide and superoxide transport in a cross-section of the rat outer medulla. II. Reciprocal interactions and tubulo-vascular cross-talk, Am J Physiol Renal Physiol, vol. 299 (2010), pp. F634-F647
  66. Jin Wang and Anita T. Layton, New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches, Appl. Numer. Math., vol. 60 no. 6 (2010), pp. 645-657
  67. Anita T. Layton, Feedback-mediated dynamics in a model of a compliant thick ascending limb, Math Biosci, vol. 228 no. 185-194 (2010)
  68. Anita T. Layton, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Comput. Fluids., vol. 38 (2009), pp. 266-272
  69. J. Thomas Beale and Anita T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys., vol. 228 (2009), pp. 3358-3367
  70. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons, Bull Math Biol, vol. 71 no. 3 (2009), pp. 515-555
  71. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math., vol. 59 (2009), pp. 1629-1643
  72. Jing Chen, Anita T. Layton, and Aurelie Edwards, A mathematical model of oxygen transport in the rat outer medulla: I. Model formulation and baseline results, Am J Physiol Renal Physiol, vol. 297 (2009), pp. F517-F536
  73. Jing Chen, Aurelie Edwards, and Anita T. Layton, A mathematical model of oxygen transport in the rat outer medulla: II. Impacts of outer medullary architecture, Am J Physiol Renal Physiol, vol. 297 (2009), pp. F537-F548
  74. Anita T. Layton, Harold E. Layton, William H. Dantzler, and Thomas L. Pannabecker, The mammalian urine concentrating mechanism: hypotheses and uncertainties, Physiol., vol. 24 (2009), pp. 250-256
  75. Anita T. Layton, On the choice of correctors for semi-implicit Picard deferred correction methods, Appl. Numer. Math., vol. 58 no. 6 (2008), pp. 845-858
  76. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
  77. Thomas L. Pannabecker, William H. Dantzler, Harold E. Layton, and Anita T. Layton, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., vol. 295 (2008), pp. F1271 - F1285
  78. Anita T. Layton, Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney, Bull. Math. Biol., vol. 69 no. 3 (2007), pp. 887-929
  79. Anita T. Layton and Michael L. Minion, Implications of the choice of predictors for semi-implicit Picard Integral deferred correction methods, Comm. Appl. Math. Comp. Sci., vol. 2 no. 1 (2007), pp. 1-34
  80. Anita T. Layton, An efficient numerical method for the two-fluid Stokes equations with a moving boundary, Computer Methods Appl. Mech. Eng., vol. 197 (2007), pp. 2147-2155
  81. S. Randall Thomas, Anita Layton, Harold Layton, and Leon Moore, Kidney modelling: status and perspectives, Proceedings of the IEEE, vol. 94 no. 4 (2006), pp. 740-752
  82. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, Quadratic spline Galerkin method for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 175-186
  83. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, Optimal quadratic spline collocation methods for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 187-205
  84. J. Thomas Beale and Anita T. Layton, On the accuracy of finite difference methods for elliptic problems with interfaces, Comm. Appl. Math. Comp. Sci., vol. 1 no. 1 (2006), pp. 91-119
  85. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats, Am. J. Physiol. Renal Physiol., vol. 291 (2006), pp. F79-F97
  86. Mariano Marcano, Anita T. Layton, and Harold E. Layton, An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism, Bull. Math. Biol., vol. 68 no. 7 (2006), pp. 1625-1660
  87. Anita T. Layton, Modeling water transport across elastic boundaries using an explicit jump method, SIAM J. Sci. Comput., vol. 28 no. 6 (2006), pp. 2189-2207
  88. Anita T. Layton, A methodology for tracking solute distribution in mathematical models of the kidney, J. Biol. Sys., vol. 13 no. 4 (2005), pp. 1-21
  89. Anita T. Layton, Role of structural organization in the urine concentrating mechanism of an avian kidney, Math. Biosci., vol. 197 no. 2 (2005), pp. 211-230
  90. Anita T. Layton and Michael L. Minion, Implications of the choice of quadrature nodes for Picard Integral deferred correction methods, BIT, vol. 45 no. 2 (2005), pp. 341-373
  91. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: II. Parameter sensitivity and tubular inhomogeneity, Am. J. Physiol. Renal Physiol., vol. 289 (2005), pp. F1367-F1381
  92. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: I. Formulation and base-case results, Am. J. Physiol. Renal Physiol., vol. 289 (2005), pp. F1346-F1366
  93. Anita T. Layton and Michael L. Minion, Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, J. Comput. Phys., vol. 194 no. 2 (2004), pp. 697-715
  94. Anita T. Layton, Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement, Proceedings of the 12th Annual Conference of the CFD Society of Canada (2004)
  95. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Two modes for concentrating urine in the rat inner medulla, Am. J. Physiol. Renal Physiol, vol. 287 (2004), pp. F816-F839
  96. Anita T. Layton and Harold E. Layton, An efficient numerical method for distributed-loop models of the urine concentrating mechanism, Math. Biosci., vol. 181 no. 2 (2003), pp. 111-132
  97. Anita T. Layton, A semi-Lagrangian collocation method for the shallow water equations on the sphere, SIAM J. Sci. Comput., vol. 24 no. 4 (2003), pp. 1433-1449
  98. Anita T. Layton and William F. Spotz, A semi-Lagrangian double Fourier method for the shallow water equations on the sphere, J. Comput. Phys., vol. 189 no. 1 (2003), pp. 180-196
  99. Anne Bourlioux, Anita T. Layton, and Michael L. Minion, High-order multi-implicit spectral deferred correction methods for problems of reactive flow, J. Comput. Phys., vol. 189 no. 2 (2003), pp. 651-675
  100. Anita T. Layton and Harold E. Layton, A region-based model framework for the rat urine concentrating mechanism, Bull. Math. Biol., vol. 65 no. 6 (2003), pp. 859-901
  101. Anita T. Layton, High-order operator-splitting methods for reacting gas dynamics, Proceedings of the 11th Annual Conference of the CFD Society of Canada (2003)
  102. Anita T. Layton, A two-time-level semi-Lagrangian semi-implicit double Fourier method, Proceedings of the Workshop on Current Development in Shallow Water Models on the Sphere (2003)
  103. Anita T. Layton, Cubic spline collocation method for the shallow water equations on the sphere, J. Comput. Phys., vol. 179 (2002), pp. 578-592
  104. Anita T. Layton and Harold E. Layton, A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism, SIAM J. Sci. Comput., vol. 23 no. 5 (2002), pp. 1528-1548
  105. Anita T. Layton and Michiel van de Panne, A numerically efficient and stable algorithm for animating water waves, The Visual Computer, vol. 18 no. 1 (2002), pp. 41-53
  106. Anita T. Layton and Harold E. Layton, A numerical method for renal models that represent tubules with abrupt changes in membrane properties, J. Math. Biol., vol. 45 no. 5 (2002), pp. 549-567
  107. Anita W. Tam, A two-time-level semi-quadratic spline Galerkin method for the shallow water equations, Proceedings of the 8th Annual Conference of the CFD Society of Canada (2000)

Layton, Harold

  1. William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clinical Journal of the American Society of Nephrology. (August, 2012)
  2. Jeff M. Sands, David B. Mount, and Harold E. Layton, The physiology of water homeostasis, in Core Concepts in the Disorders of Fluids, Electrolytes, and Acid-Base Balance, edited by David B. Mount, Ajay Singh, and Mo Sayegh (August, 2012), Springer
  3. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, American Journal of Physiology--Renal Physiology 302:F1188-F1202 (May, 2012)
  4. Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita T. Layton, Harold E. Layton, and Leon C. Moore, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, American Journal of Physiology---Renal Physiology (2012)
  5. Aniel Nieves-Gonzalez, Chris Clausen, Anita T. Layton, Harold E. Layton, and Leon C. Moore, Efficiency and workload distribution in a mathematical model of the thick ascending limb, American Journal of Physiology--Renal Physiology (2012)
  6. Anita T. Layton and Harold E. Layton, Countercurrent multiplication may not explain the axial osmolality gradient in the outer medulla of the rat kidney, American Journal of Physiology--Renal Physiology 301: F1047-F1056 (November, 2011)
  7. Jing Chen, Ioannis Sgouralis, Leon C. Moore, Harold E. Layton, and Anita T. Layton, A mathematical model of the myogenic response to systolic pressure in the afferent arteriole, American Journal of Physiology--Renal Physiology 300: F669-F681 (March, 2011)
  8. Anita T. Layton, Matthew Bowen, Amy Wen, and Harold E. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs, Mathematical Biosciences Vol. 230: 115-127 (April 2011)
  9. Jeff M. Sands and Harold E. Layton, The urine concentrating mechanism and urea transporters, in Seldin and Giebische's The Kidney: Physiology and Pathophysiology, 5th Edition, edited by Robert Alphern, Orson Moe, & Michaeal Caplan (October, 2012), Elsevier/Academic Press
  10. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Hyperfiltration and inner-stripe hypertrophy may explain findings by Gamble and co-workers, American Journal of Physiology--Renal Physiology 298: F962-F972, 2010 (April, 2010)
  11. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Functional implications of the three-dimensional architecture of the rat renal inner medulla, American Journal of Physiology--Renal Physiology 298: F951-F961, 2010 (April, 2010)
  12. Mariano Marcano, Anita T. Layton, and Harold E. Layton, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Bulletin of Mathematical Biology 72:314-339, 2010 (April, 2010)
  13. William H. Dantzler, Thomas L. Pannabecker, Anita T. Layton, and Harold E. Layton, Urine concentrating mechanism in the inner medulla of the mammalian kidney: Role of three-dimensional architecture, Acta Physiologica 202(3): 361-378 (March, 2011)
  14. Jeff M. Sands, Harold E. Layton, and Robert A. Fenton, Urine concentration and dilution, in Brenner and Rector's THE KIDNEY, 9th Edition, edited by Alan S. L. Yu (September 3, 2009), Saunders
  15. Anita T. Layton, Leon C. Moore, Harold E. Layton, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons, Bulletin of Mathematical Biology. 71(3):515-555, 2009. (April, 2009)
  16. Anita T. Layton, Harold E. Layton, William H. Dantzler, and Thomas L.. Pannabecker, The Mammalian Urine Concentrating Mechanism: Hypotheses and Uncertainties, Physiology 24: 250-256, 2009 (2009)
  17. Jeff M. Sands and Harold E. Layton, The physiology of urinary concentration: an update, Seminars in Nephrology, 29 (2): 178-195, 2009. (May, 2009)
  18. Thomas L. Pannabecker, William H. Dantzler, Harold E. Layton, and Anita T. Layton, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, American Journal of Physiology--Renal Physiology, 295: F1271 - F1285, 2008 (November, 2008)
  19. Paula Budu-Grajdeanu, Leon C. Moore, Harold E. Layton., Effect of tubular inhomogeneities on filter properties of thick ascending limb of Henle's loop. Mathematical Biosciences 209(2): 564-592, 2007, Mathematical Biosciences (October, 2007)
  20. Jeff M. Sands and Harold E. Layton, The Urine Concentrating Mechanism and Urea Transporters, in The Kidney: Physiology and Pathophysiology, 4th Edition, edited by Robert J. Alpern and Steven C. Hebert (2007), pp. 1143–1178, Elsevier, New York
  21. Mariano Marcano, Anita T. Layton, and Harold E. Layton, An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism, The Bulletin of Mathematical Biology 68(7): 1625-1660, 2006 (October, 2006)
  22. Anita T. Layton, Leon C. Moore, Harold E. Layton, Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats, American Journal of Physiology-Renal Physiology 291 (Renal Physiology 60): F79-F97, 2006 (July, 2006)
  23. S. Randall Thomas, Anita T. Layton, Harold E. Layton, and Leon C. Moore, Kidney modelling: status and perspectives, Proceedings of the IEEE 94(4): 740-752, 2006. (April, 2006)
  24. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: I. Formulation and base-case results, American Journal of Physiology--Renal Physiology 289 (Renal Physiology 58): F1346-F1366, 2005 (December, 2005)
  25. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: II. Parameter sensitivity and tubular inhomogeneity, American Journal of Physiology--Renal Physiology 289 (Renal Physiology 58) : F1367 - F1381, 2005 (December, 2005)
  26. E. Bruce Pitman, Roman M. Zaritski, Kevin J. Kesseler, Leon C. Moore, and Harold E. Layton, Feedback-mediated dynamics in two coupled nephrons, Bulletin of Mathematical Biology, 66(6): 1463-1492, 2004
  27. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Two modes for concentrating urine in rat inner medulla, American Journal of Physiology, Renal Physiology, 287 (Renal Physiology, 56): F816-F839, 2004
  28. Oldson, Darren R., Leon C. Moore, and Harold E. Layton, Effect of sustained flow perturbations on stability and compensation of tubuloglomerular feedback, American Journal of Physiology, Renal Physiology, 285: F972-F989, 2003
  29. Marcano-Velazquez, M., and Harold E. Layton, An inverse algorithm for a mathematical model of an avian urine concentrating mechanism, Bulletin of Mathematical Biology 65: 665-691, 2003
  30. Layton, Anita T., and Harold E. Layton, An efficient numerical method for distributed-loop models of the urine concentrating mechanism, Mathematical Biosciences 181(2): 111-132, 2003
  31. Smith, Kayne M., Leon C. Moore, and Harold E. Layton, Advective transport of nitric oxide in a mathematical model of the afferent arteriole, American Journal of Physiology---Renal Physiology 284 (Renal Physiology 53): F1080-F1096, 2003
  32. Layton, Anita T., and Harold E. Layton, A region-based model framework for the rat urine concentrating mechanism, Bulletin of Mathematical Biology, 65: 859-901, 2003
  33. Layton, Anita T., and Harold E. Layton, A numerical method for renal models that represent abrupt changes in tubular properties, Journal of Mathematical Biology 45(5): 549-567, 2002.
  34. Harold E. Layton and Alan M. Weinstein, editors, Membrane Transport and Renal Physiology, (The IMA Volumes in Mathematics and its Applications, Volume 129) New York: Springer-Verlag, 2002  [author's comments]
  35. Pitman, E. Bruce, Roman M. Zaritski, Leon C. Moore, and Harold E. Layton, A reduced model for nephron flow dynamics mediated by tubuloglomerular feedback, In: Membrane Transport and Renal Physiology, The IMA Volumes in Mathematics and its Applications, Volume 129, edited by Harold E. Layton and Alan M. Weinstein. New York: Springer-Verlag, pp. 345-364, 2002.
  36. Layton, Harold E., Mathematical models of the mammalian urine concentrating mechanism, In: Membrane Transport and Renal Physiology, The IMA Volumes in Mathematics and Its Applications, Volume 129, edited by Harold E. Layton and Alan M. Weinstein. New York, Springer-Verlag, pp. 233-272, 2002.
  37. Layton, Anita T., and Harold E. Layton, A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism, SIAM Journal on Scientific Computing, 23(5): 1526-1548, 2002.
  38. Zaritski, Roman M., E. Bruce Pitman, Harold E. Layton and Leon C. Moore, Coupling a tubuloglomerular feedback nephron model with a myogenic afferent arteriole model, In: Computing and Information Technologies (Proceedings of the International Conference on Computing and Information Technologies, Montclair State University, Upper Montclair, NJ, USA, 12 October 2001), edited by George Antoniou and Dorothy Deremer. World Scientific Publishing Co. Pte. Ltd., 2001, p. 55-62.
  39. Layton, H.E., John M. Davies, Giovanni Casotti, and Eldon J. Braun, Mathematical model of an avian urine concentrating mechanism, American Journal of Physiology-Renal Physiology 279 (Renal Physiology 48): F1139-F1160, 2000.
  40. Sands, Jeff M., and Harold E. Layton, Urine concentrating mechanism and its regulation, Chapter 45 in: The Kidney: Physiology and Pathophysiology (third edition), edited by D. W. Seldin and G. Giebisch. Philadelphia: Lippincott Williams & Wilkins, 2000, p. 1175-1216.
  41. Layton, H. E., E. Bruce Pitman, and Leon C. Moore, Limit-cycle oscillations and tubuloglomerular feedback regulation of distal sodium delivery, American Journal of Physiology 278 (Renal Physiology 47): F287-F301, 2000.
  42. Arthurs, Kayne M., Leon C. Moore, Charles S. Peskin, E. Bruce Pitman, and H. E. Layton, Modeling arteriolar flow and mass transport using the immersed boundary method, Journal of Computational Physics 147 (2): 402-440, 1998.
  43. Layton, H. E., E. Bruce Pitman, and Leon C. Moore, Spectral properties of the tubuloglomerular feedback system, American Journal of Physiology 273 (Renal Physiology 42): F635-F649, 1997.
  44. Layton, H. E., E. Bruce Pitman, and Leon C. Moore, Nonlinear filter properties of the thick ascending limb, American Journal of Physiology 273 (Renal Physiology 42): F625-F634, 1997.
  45. Pitman, E. B., and H. E. Layton, Mass conservation in a dynamic numerical method for a model of the urine concentrating mechanism, Conference proceedings of The Third International Congress on Industrial and Applied Mathematics, appearing in Zeitschrift fuer Angewandte Mathematik und Mechanik 76(S4): 45-48, 1996.
  46. Layton, H. E., L. C. Moore, and E. B. Pitman, Spectral properties of the TGF pathway, Conference proceedings of The Third International Congress on Industrial and Applied Mathematics, appearing in Zeitschrift fuer Angewandte Mathematik und Mechanik 76(S4): 33-35, 1996.
  47. Layton, H. E., Mark A. Knepper, and Chung-Lin Chou, Permeability criteria for effective function of passive countercurrent multiplier, American Journal of Physiology 270 (Renal Fluid Electrolyte Physiology 39): F9-F20, 1996.
  48. Layton, H. E., E. Bruce Pitman, and Mark A. Knepper, A dynamic numerical method for models of the urine concentrating mechanism, SIAM Journal on Applied Mathematics 55(5): 1390-1418, October, 1995.
  49. Layton, H. E., E. Bruce Pitman, and Leon C. Moore, Instantaneous and steady-state gains in the tubuloglomerular feedback system, American Journal of Physiology 268 (Renal Fluid Electrolyte Physiology 37): F163-F174, 1995.
  50. Pitman, E. Bruce, H. E. Layton, and Leon C. Moore, Numerical simulation of propagating concentration profiles in renal tubules, Bulletin of Mathematical Biology 56(3): 567-586, 1994.
  51. Layton, H. E., and E. Bruce Pitman, A dynamic numerical method for models of renal tubules, Bulletin of Mathematical Biology 56(3): 547-556, 1994.
  52. Layton, H. E., and John M. Davies, Distributed solute and water reabsorption in a central core model of the renal medulla, Mathematical Biosciences 116: 169-196, 1993.
  53. Chou, Chung-Lin, Mark A. Knepper, and H. E. Layton, Urinary concentrating mechanism: role of the inner medulla, Seminars in Nephrology 13(2): 168-181, 1993.
  54. Pitman, E. Bruce, H. E. Layton, and Leon C. Moore, Dynamic flow in the nephron: filtered delay in the TGF pathway, in Fluid Dynamics in Biology: Proceedings of the AMS-IMS-SIAM Joint Research Conference, July 1991, Edited by Angela Cheer and C. P. van Dam, appearing as Contemporary Mathematics (American Mathematical Society) 141: 317-336, 1993.
  55. Knepper, M. A., C.-L. Chou, and H. E. Layton, How is urine concentrated by the inner medulla?, In: Moving Points in Nephrology, edited by E. Bourke, N. P. Mallick, and V. E. Pollak, appearing as Contributions to Nephrology, Vol. 102, pp. 144-160, S. Karger, Basel, 1993.
  56. Jamison, Rex L., Dennis R. Roy, and Harold E. Layton, Countercurrent mechanism and its regulation, Chapter 7 in Clinical Disturbances of Water Metabolism, edited by D. W. Seldin and G. Giebisch. New York: Raven Press, 1993, p. 119-156. (This chapter is an abridgment of the 1992 chapter by the same authors.)
  57. Roy, Dennis R., Jr., Harold E. Layton, and Rex L. Jamison, Countercurrent mechanism and its regulation, Chapter 45 in The Kidney: Physiology and Pathophysiology (second edition), edited by D. W. Seldin and G. Giebisch. New York: Raven Press, 1992, p. 1649-1692.
  58. Layton, H. E., E. Bruce Pitman, and Leon C. Moore, Bifurcation analysis of TGF-mediated oscillations in SNGFR, American Journal of Physiology 259 (Renal Fluid Electrolyte Physiology 30): F904-F919, 1991.
  59. Layton, H. E., Distributed loops of Henle in a central core model of the renal medulla: Where should the solute come out?, Proceedings of the Seventh International Conference on Mathematical and Computer Modelling in Science and Technology, Mathematical and Computer Modelling 14: 533-537, 1990.
  60. Layton, H. E., and E. Bruce Pitman, Oscillations in a simple model of tubuloglomerular feedback, Proceedings of the Twelfth Annual International Conference of the Institute of Electrical and Electronics Engineers/Engineering in Medicine and Biology Society 12(3): 987-988, 1990.
  61. Layton, H. E., Urea transport in a distributed loop model of the urine concentrating mechanism, American Journal of Physiology 258 (Renal Fluid Electrolyte Physiology 27): F1110-F1124, 1990.
  62. Layton, H. E., Concentrating urine in the inner medulla of the kidney, Comments on Theoretical Biology 1(3): 179-196, 1989.
  63. Pitman, E. Bruce, and H. E. Layton, Tubuloglomerular feedback in a dynamic nephron, Communications on Pure and Applied Mathematics 42: 759-787, 1989.
  64. Layton, H. E., Energy advantage of counter-current oxygen exchange in fish gills, Journal of Theoretical Biology 125: 307-316, 1987.
  65. Layton, H. E., Existence and uniqueness of solutions to a mathematical model of the urine concentrating mechanism, Mathematical Biosciences 84: 197-210, 1987.
  66. Layton, H. E., Distribution of Henle's loops may enhance urine concentrating capability, Biophysical Journal 49: 1033-1040, 1986.

Leiderman, Karin

  1. Wolberg, A.S., Aleman, M.M., Leiderman, K, and K.R. Machlus., Procoagulant Activity in Hemostasis and Thrombosis: Virchow's Triad Revisited., Anesth. Analg. (In Press)
  2. Fogelson, A.L., Hussein, Y., and K. Leiderman., The Influence of Thrombin-activated FXIa on Thrombin Production is Predicted to Depend Strongly on Platelet Count., Biophys. J. (In Press)
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Levy, Rachel

  1. R. Levy with I. Ipsen, D. Finkel, C. Kuster, M. Lasater, and J. Reese, Communicating Applied Mathematics: Four Examples, SIAM Review, vol. 48 no. 2 (2006), pp. 359-389
  2. R. Levy and M. Shearer, “The Motion of a Thin Film Driven by Surfactant and Gravity”, SIAM Journal of Applied Mathematics, vol. 66 no. 5 (2006), pp. 1588-1609
  3. R. Levy, P. Taylor, M. Shearer, Automated Review of Prerequisite Material for Intermediate-level Undergraduate Mathematics, PRIMUS (2006)
  4. T. Witelski, M. Shearer and R. Levy, Growing Surfactant Waves in Thin Liquid Films Driven by Gravity, AMRX (2006)
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  6. R. Levy and M. Shearer, Comparison of Two Dynamic Contact Line Models for Driven Thin Liquid Films, European Journal of Applied Mathematics, vol. 15 no. 6 (2004), pp. 625-642

Li, Ye

  1. Y. Li, Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four, Advances in Mathematics (2009) (doi:10.1016/j.aim.2009.10.014.)
  2. Y. Li, Smoothing Riemannian Metrics with Bounded Ricci Curvatures in Dimension Four, II (2009) [arXiv:0911.3104]
  3. Y. Li, Local volume estimate for manifolds with $L^2$-bounded curvature, Journal of Geometric Analysis, vol. 17 no. 3 (2007), pp. 495-511

Liao, Wenjing

  1. W. Liao and A. Fannjiang, MUSIC for single-snapshot spectral estimation: stability and super-resolution (2014) [PDF]
  2. A. Fannjiang and W. Liao, Fourier phasing with phase-uncertain mask, Inverse problems, vol. 29 no. 12 (2013) [PDF]
  3. A. Fannjiang and W. Liao, Phase retrieval with random phase illumination, Journal of the Optical Society of America A, vol. 29 no. 9 (2012) [PDF]
  4. A. Fannjiang and W. Liao, Coherence-pattern guided compressive sensing with unresolved grids, SIAM Journal on Imaging Sciences, vol. 5 no. 1 (2012) [PDF]

Lipnowski, Michael

  1. M. Lipnowski, Equivariant Torsion and Base Change (2013) [2540]
  2. M. Lipnowski, The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces (2013) [2543]

Liu, Jian-Guo

  1. S. Bian, J.-G. Liu, and C. Zou, Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d, Kinetic and Related Models, vol. 7 (2014), pp. 9-28
  2. Y. Duan and J.-G. Liu, Convergence analysis of the vortex blob method for the b-equation, Discrete Contin. Dyn. Syst. Ser. A, vol. 34 (2014), pp. 1995-2011
  3. H. Johnston, C. Wang and J.-G. Liu, A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations, J. Sci. Comput. (2013)
  4. X. Chen and J.-G. Liu, Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions, J Diff Eqs, vol. 254 (2013), pp. 2764-2802
  5. T. Goudon, S. Jin, J.-G. Liu and B. Yan, Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows, J. Comput. Phy., vol. 246 (2013), pp. 145-164
  6. X. Chen and J.-G. Liu, Analysis of polymeric flow models and related compactness theorems in weighted spaces, SIAM J Math Anal, vol. 45 (2013), pp. 1179-1215
  7. P. Degond, A. Frouvelle, J.-G. Liu, S Motsch, L Navoret, Macroscopic models of collective motion and self-organization, Seminaire Laurent Schwartz -- EDP et applicatios, vol. 2012 - 2013 (2013), pp. 1-27
  8. Y.L. Huang, J.-G. Liu and W.-C. Wang, A generalized MAC scheme on curvilinear domains, SIAM J. Sci. Comput., vol. 35 (2013), pp. B953-B986
  9. P. Degond, J.-G, Liu, S. Motsch, V. Panferov, Hydrodynamic models of self-organized dynamics: derivation and existence theory, Methods Anal. Appl., vol. 20 (2013), pp. 89-114
  10. S. Bian and J.-G. Liu, Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0, Comm Math Phy, vol. 323 (2013), pp. 1017-1070
  11. D. Chae, P. Degond, J.-G. Liu, Well-posedness for Hall-magnetohydrodynamics, Ann. I. H. Poincare, AN (2013)
  12. P. Degond, A. Frouvelle, J.-G. Liu, A note on phase transitions for the Smoluchowski equation with dipolar potential, in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application (2013)
  13. X. Chen, X. Liu and J.-G. Liu, Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles, Commun. Math. Sci. (2013)
  14. P. Degond, J.-G. Liu and C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria, J Nonlinear Sci. (2013)
  15. P. Degond, J.-G. Liu and C. Ringhofer, Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria, J. Stat. Phys. (2013)
  16. X. Chen, A. Jungel, J.-G. Liu, A note on Aubin-Lions-Dubinskii lemmas, Acta Applicanda Mathematicae (2013)
  17. P. Degond, A. Frouvell, J.-G. Liu, Macroscopic limits and phase transition in a system of self-propelled particles, J Nonlinear Sci., vol. 23 (2013), pp. 427-456
  18. S. Jin, J.-G. Liu and L. Wang, A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations, Math. Comp., vol. 82 (2013), pp. 749-779
  19. J. Haack, S. Jin and J.-G. Liu, An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations, Commun. Comput. Phy., vol. 12 (2012), pp. 955-980
  20. A. Chertock, J.-G. Liu, and T. Pendleton, Convergence of a particle method and global weak solutions of a family of evolutionary PDEs, SIAM J. Numer. Anal., vol. 50 (2012), pp. 1-21
  21. P. Degond and J.-G. Liu, Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation, Math. Models Methods Appl. Sci., vol. 22 (2012), pp. 1114001-18
  22. J. Carrillo, L. Chen, J.-G. Liu and J. Wang, A note on the subcritical two dimensional Keller-Segel system, Acta Applicanda Mathematicae, vol. 119 (2012), pp. 43-55
  23. A. Frouvelle and J.-G. Liu, Dynamics in a kinetic model of oriented particles with phase transition, SIAM J. Math Anal, vol. 44 (2012), pp. 791--826
  24. L. Chen, J.-G. Liu and J. Wang, Multi-dimensional degenerate Keller-Segel system with critical diffusion exponent 2n/(n+2), SIAM J. Math Anal, vol. 44 (2012), pp. 1077-1102
  25. X. Chen and J.-G. Liu, Two Nonlinear Compactness Theorems in L^p(0,T;B), Appl. Math. Lett., vol. 25 (2012), pp. 2252-2257
  26. D. Chae and J. G. Liu, Blow-up, zero alpha limit and the Liouville type theorem for the Euler-Poincare equations, Comm. Math. Phy.,, vol. 314 (2012), pp. 671-687
  27. A. Chertock, J.-G. Liu, and T. Pendleton, Convergence analysis of the particle method for the Camassa-Holm equation, in Proceedings of the 13th International Conference on ``Hyperbolic Problems: Theory, Numerics and Applications" (2012), pp. 365-373, Higher Education Press, Beijing
  28. W. Zheng, H. Gao, J.-G.-Liu, Y. Zhang, Q. Ye and C. Swank, General solution to gradient-induced transverse and longitudinal relaxation of spins undergoing restricted diffusion, Phys. Rev. A, vol. 84 (2011), pp. 053411-8
  29. M. Acheritogaray, P. Degond, A. Frouvelle, and J.-G. Liu, Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system, Kinetic and Related Models, vol. 4 (2011), pp. 901-918
  30. J.-G. Liu and A. Lorz, A coupled chemotaxis-fluid model: Global existence, Ann. I. H. Poincare, AN, vol. 28 (2011), pp. 643-652
  31. Y.-L. Huang, J.-G. Liu and W.-C. Wang, An FFT based fast Poisson solver on spherical shells, Commun. Comput. Phy., vol. 9 (2011), pp. 649-667
  32. J.-G. Liu, Jie Liu and R. Pego, Stable and accurate pressure approximation for unsteady incompressible viscous flow, J. Comput. Phys., vol. 229 (2010), pp. 3428-3453
  33. J.-G. Liu and L. Mieussens, Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit, SIAM J. Numer. Anal., vol. 48 (2010), pp. 1474-1491
  34. J.-G. Liu and R. Pego, Stable discretization of magnetohydrodynamics in bounded domains, Commun. Math. Sci., vol. 8 (2010), pp. 234-251
  35. Multi-scale phenomena in complex fluids, Modeling, Analysis and Numerical Simulations, edited by T. Hou, C. Liu and J.-G. Liu (2009), World Scientific, ISBN 978-981-4273-25-1
  36. Hyperbolic Problems: Theory, Numerics and Applications, volume I: Plenary & Invited Talks; volume II: Contributed Talks, Proceedings of Symposia in Applied Mathematics, edited by E. Tadmor, J.-G. Liu, and A.E. Tzavaras, vol. 67 (2009), American Mathematical Society, ISBN 978-0-8218-4728-2
  37. S.-Y. Ha and J.-G. Liu, A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, Commun. Math. Sci., vol. 7 (2009), pp. 297-325
  38. J.-G. Liu and W.-C. Wang, Characterization and regularity for axisymmetric solenoidal vector elds with application to Navier-Stokes equation, SIAM J. Math. Anal., vol. 41 (2009), pp. 1825-1850
  39. J.-G. Liu, J. Liu and R. Pego, Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 743-768
  40. X. Lu, P. Lin and J.-G. Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp., vol. 77 (2008), pp. 1467-1494  [abs]
  41. P. Degond, J.-G. Liu and M.H. Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit, SIAM J. Num. Anal., vol. 46 (2008), pp. 1298-1322  [abs]
  42. J.-G. Liu and C. Wang, A fourth order numerical method for the primitive equations formulated in mean vorticity, Commun. Comput. Phys., vol. 4 (2008), pp. 26-55
  43. P. Lin, J.-G. Liu and X. Lu, Long time numerical solutyion of the Navier-Stokes equations based on a sequential regularization formulation, SIAM J. Sci. Comput., vol. 31 (2008), pp. 398-419
  44. C.-H. Hsia, J.-G. Liu and C. Wang, Structural stability and bifurcation for 2D incompressible ows with symmetry, Meth. Appl. Anal., vol. 15 (2008), pp. 495-512
  45. J.-G. Liu, Jie Liu and R. Pego, Estimates on the Stokes pressure by partitioning the energy of harmonic functions, in Kyoto Conference on the Navier-Stokes equations and their Applications, edited by Y. Giga, H. Kozono, H. Okamoto and Y. Shibta (2007), pp. 251--270, Kyoto Univ.  [abs]
  46. J. Moore, Z. Cheng, J. Hao, G. Guo, J.-G. Liu, C. Lin and L. Yu, Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran, J Agric Food Chem (2007) (published on Web 10/30/2007.)
  47. Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization, edited by W. Bao and J.-G. Liu (2007), World Scientific, ISBN 9789812708502
  48. S.S. Antman and J.-G. Liu, Basic themes and pretty problems of nonlinear solid mechanics, Milan J. Math., vol. 75 (2007), pp. 135-176  [abs]
  49. J.-G. Liu, J. Liu and R. Pego, Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate via a commutator estimate, Comm. Pure Appl. Math., vol. 60 (2007), pp. 1443-1487
  50. P. Degond, S. Jin, and J.G. Liu, Mach-number uniform asymptotic- preserving Gauge schemes for compressible flows, Bulletin of the Institute of Mathematics Academia Sinica (New Series), vol. 2 (2007), pp. 851-892  [abs]
  51. J.-G. Liu, R. Samelson and C. Wang, Global weak solution of planetary geostrophic equations with inviscid geostrophic balance, Applicable Analysis, vol. 85 (2006), pp. 593 - 605
  52. J.-G. Liu and W.C. Wang, Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows, SIAM J. Numer. Anal., vol. 44 (2006), pp. 2456-2480  [abs]
  53. P. Degond, J.-G. Liu, and L. Mieussens, Macroscopic fluid models with localized kinetic upscaling effects, Multiscale Model. Simul., vol. 5 (2006), pp. 940--979
  54. J.-G. Liu, Jie Liu and R. Pego, On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, in Proceedings of the Tenth International Conference on Hyperbolic Problems, edited by F. Asakura, etc (2006), pp. 29--44, Yokohama Publishers, Inc.
  55. J. Moore, J.-G. Liu, K. Zhou, S. Haley, and L. Yu, Effects of genotype and environment on the antioxidant properties of hard winter wheat bran, J Agric Food Chem, vol. 54 (2006), pp. 5313-5322
  56. J.-G. Liu and C. Wang, High order finite difference method for unsteady incompressible flow on multi-connected domain in vorticity-stream function formulation, Computer and Fluids, vol. 33 (2004), pp. 223-255
  57. M. Ghil, J.-G. Liu, C. Wang and S. Wang, Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow, Physica D, vol. 197 (2004), pp. 149--173
  58. H. Johnston and J.-G. Liu, Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term, J. Comput. Phys., vol. 188 (2004), pp. 221-259
  59. J.-G. Liu and W.-C. Wang, Energy and helicity preserving schemes for hydro- and magneto-hydrodynamics flows with symmetry, J. Comput. Phys., vol. 200 (2004), pp. 8-33
  60. B. Li and J.-G. Liu, Eptaxial growth without slope selection: energetics, coarsening, and dynamic scaling, J. Nonlinear Sci., vol. 14 (2004), pp. 429--451
  61. C. Wang, J.-G. Liu and H. Johnston, Analysis of a fourth order finite difference method for the incompressible Boussinesq equations, Numer. Math., vol. 97 (2004), pp. 555--594
  62. J.-G. Liu, and W.-Q. Xu, Far field boundary condition for convection diffusion equation at zero viscosity limit, Q APPL MATH, vol. 62 (2004), pp. 27-52
  63. H.-E. Lin, J.-G. Liu, and W.-Q. Xu, Effects of small viscosity and far field boundary conditions for hyperbolic systems, Comm. Pure Applied Anal., vol. 3 (2004), pp. 267-290
  64. J.-G. Liu, C. Wang and H. Johnston, A fourth order compact scheme for incompressible Boussinesq equations, J. Sci. Comput., vol. 18 (2003), pp. 253-285
  65. I.-L. Chern, J.-G. Liu and W.-C. Wang, Accurate evaluation of electrostatics for macromolecules in solution, Methods and Applications of Analysis, vol. 10 (2003), pp. 309-328
  66. B. Li and J.-G. Liu, Thin film epitaxy with or without slope selection, European J. Applied Math., vol. 14 (2003), pp. 713-743
  67. Weinan E and J.-G. Liu, Gauge method for viscous incompressible flows, Comm. Math. Sci., vol. 1 (2003), pp. 317--332
  68. K. Duraisamy, J.D. Baeder and J.-G. Liu, Concepts and application of time limiters to high resolution schemes, J. Sci. Comput., vol. 19 (2003), pp. 139-162
  69. C. Chainais-Hillairet, J.-G. Liu and Y.-J. Peng, Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis, Math. Model. Numer. Anal., vol. 37 (2003), pp. 319-338
  70. C. Wang and J.-G. Liu, Positivity property of second-order flux-splitting schemes for the compressible Euler equations, Discrete Contin. Dyn. Syst. Ser. B., vol. 3 (2003), pp. 201-228
  71. C. Wang and J.-G. Liu, Fourth order convergence of a compact difference solver for incompressible flow, Commun. Appl. Anal., vol. 7 (2003), pp. 171-191
  72. H. Johnston and J.-G. Liu, Finite difference schemes for incompressible flow based on local pressure boundary condition, J. Comput. Phys., vol. 180 (2002), pp. 120-154
  73. Weinan E and J.-G. Liu, Projection method III: spatial discretization on the staggered grid, Math. Comp., vol. 71 (2002), pp. 27-47
  74. C. Wang and J.-G. Liu, Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation, Numer. Math., vol. 91 (2002), pp. 543-576
  75. J.-G. Liu and Z. Xin, Convergence of point vortex method for 2-D vortex sheet, Math. Comp., vol. 70 (2001), pp. 565-606
  76. J.-G. Liu and Weinan E, Simple finite element method in vorticity formulation for incompressible flow, Math. Comp., vol. 69 (2001), pp. 1385-1407
  77. J.-G. Liu and W.C. Wang, An energy preserving MAC-Yee scheme for the incompressible MHD equation, J. Comput. Phys., vol. 174 (2001), pp. 12-37
  78. Weinan E and J.-G. Liu, Gauge finite element method for incompressible flows, Int. J. Num. Meth. Fluids, vol. 34 (2000), pp. 701-710
  79. C. Wang and J.-G. Liu, Convergence of gauge method for incompressible flow, Math. Comp., vol. 69 (2000), pp. 1385-1407
  80. J.-G. Liu and C.-W. Shu, A high order discontinuous Galerkin method for incompressible flows, J. Comput. Phys., vol. 160 (2000), pp. 577-596
  81. J.-G. Liu and Z. Xin, Convergence of a Galerkin method for 2-D discontinuous Euler flows, Comm. Pure Appl. Math., vol. 53 (2000), pp. 786-798
  82. Z.J. Wang, S. Childress and J.-G. Liu, Connection between corner vortices and shear layer instability in flow past an ellipse, Phys. Fluids., vol. 11 (1999), pp. 2446-2448
  83. P. Lefloch and J.-G. Liu, Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions, Math. Comp., vol. 68 (1999), pp. 1025-1055
  84. H. Choi and J.-G. Liu, The reconstruction of upwind fluxes for conservation laws, its behavior in dynamic and steady state calculations, J. Comput. Phys., vol. 144 (1998), pp. 237-256
  85. E. Xu and J.-G. Liu, Pricing of mortgage-backed securities with option-adjusted spread, Managerial Finance, vol. 24 (1998), pp. 94-109
  86. Weinan E and J.-G. Liu, Finite difference schemes for incompressible flows in the impulse-velocity formulation, J. Comput. Phys., vol. 130 (1997), pp. 67-76
  87. G.-Q. Chen and J.-G. Liu, Convergence of difference schemes with high resolutions to conservation laws, Math. Comp., vol. 66 (1997), pp. 1027-1053
  88. Weinan E and J.-G. Liu, Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on non-staggered grids, J. Comput. Phys., vol. 138 (1997), pp. 57-82
  89. J.-G. Liu and Z. Xin, Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation, Arch. Rat. Mech. Anal., vol. 135 (1996), pp. 61-105
  90. J.-G. Liu and Z. Xin, Kinetic and viscous boundary layers for the Broadwell equations, Transport Theory Statist. Phys., vol. 25 (1996), pp. 447-461
  91. C.D. Levermore and J.-G. Liu, Large oscillations arising from a dispersive numerical scheme, Physica D, vol. 99 (1996), pp. 191-216
  92. Weinan E and J.-G. Liu, Projection method II: Godunov-Ryabenki analysis, SIAM J. Numer. Anal., vol. 33 (1996), pp. 1597-1621
  93. Weinan E and J.-G. Liu, Essential compact scheme for unsteady viscous incompressible flows, J. Comput. Phys., vol. 126 (1996), pp. 122-138
  94. Weinan E and J.-G. Liu, Vorticity boundary condition and related issues for finite difference schemes, J. Comput. Phys., vol. 124 (1996), pp. 368-382
  95. S. Jin and J.-G. Liu, The effects of numerical viscosities I: slowly moving shocks, J. Comput. Phys., vol. 126 (1996), pp. 373-389
  96. S. Jin and J.-G. Liu, Oscillations induced by numerical viscosities, Mat. Contemp., vol. 10 (1996), pp. 169-180
  97. J.-G. Liu and Z. Xin, Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data, Comm. Pure Appl. Math., vol. 48 (1995), pp. 611-628
  98. Weinan E and J.-G. Liu, Projection method I: convergence and numerical boundary layers, SIAM J. Numer. Anal., vol. 32 (1995), pp. 1017-1057
  99. S. Jin and J.-G. Liu, Relaxation and diffusion enhanced dispersive waves, Proc. Roy. Soc. Lon. Ser. A, vol. 446 (1994), pp. 555-563
  100. P. Lefloch and J.-G. Liu, Discrete entropy and monotonicity criteria for hyperbolic conservation laws, C.R. Acad. Sci. Paris., vol. 319 (1994), pp. 881-886
  101. J.-G. Liu and Z. Xin, Nonlinear stability of discrete shocks for systems of conservation laws, Arch. Rat. Mech. Anal., vol. 125 (1993), pp. 217-256
  102. J.-G. Liu and Z. Xin, L1-stability of stationary discrete shocks, Math. Comp., vol. 60 (1993), pp. 233-244
  103. B. Engquist and J.-G. Liu, Numerical methods for oscillatory solutions to hyperbolic problems, Comm. Pure Appl. Math., vol. 46 (1993), pp. 1327-1361
  104. G.-Q. Chen and J.-G. Liu, Convergence of second-order schemes for isentropic gas dynamics, Math. Comp., vol. 61 (1993), pp. 607-629

Liu, Liping

  1. with Thomas and Dowell, Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces, Journal of Fluids and Structures, vol. 23 no. 3 (2007)
  2. with Dowell and Hall, A novel harmonic balance analysis for the Van der Pol oscillator, Special Issue of International Journal of Nonlinear Mechanics (September, 2006)
  3. with Mei and Wong, Asymptotic behavior of solutions to Rosenau-Burgers equation with periodic boundary, Journal of Nonlinear Analysis (August, 2006)
  4. with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (II) Convergence (June, 2006)
  5. with Mei and Wong, Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness, Journal of Discrete and Continuous Dynamical Systems (June, 2006)
  6. with Lee, Bifurcation of an airfoil in subsonic flow with coupled cubic restoring forces, Journal of Aircraft, vol. 43 no. 3 (2006), pp. 652-659
  7. with Dowell, Thomas, Attar and Hall, A comparison of two harmonic balance approaches for Duffing’s oscillators: classical and high dimensional, Journal of Computational Physics, vol. 215 no. 1 (2006), pp. 298-320
  8. with Chung and Lee, Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces, Journal of Sound and Vibration, vol. 281 no. 3-5 (2005), pp. 699-717
  9. with Dowell, A harmonic balance approach for an airfoil with a freeplay control surface, AIAA Journal, vol. 43 no. 4 (2005), pp. 802-815
  10. with Dowell, The secondary bifurcation of an aeroelastic airfoil motion with cubic restoring forces, Nonlinear Dynamics, vol. 37 no. 1 (2004), pp. 31-49
  11. with Wong and Lee, Nonlinear aeroelastic analysis using the point transformation method, Part I: freeplay model, Journal of Sound and Vibration, vol. 253 (August, 2002), pp. 447-469
  12. with Wong and Lee, Nonlinear aeroelastic analysis using the point transformation method, Part II: hysteresis model, Journal of Sound and Vibration, vol. 253 (August, 2002), pp. 471-483
  13. with Mei, A better asymptotic profile for the Rosenau-Burgers equations, Applied Mathematics and Computation, vol. 131 (January, 2002), pp. 157-180
  14. with Wong and Lee, Application of center manifold theory in nonlinear aeroelasticity, Journal of Sound and Vibration, vol. 234 (March, 2000), pp. 641-659
  15. with Zheng, Almost periodic regularized groups, semigroups, and cosine functions, Journal of Mathematical Analysis and Applications, vol. 197 no. 1 (1996), pp. 90-112

Lu, Jianfeng

  1. Yin Xian, Andrew Thompson, Qiang Qiu, Loren Nolte, Jianfeng Lu, Robert Calderbank, Classification of whale vocalizations using the Weyl transform (2014)
  2. with Qin Li and Weiran Sun, Diffusion approximations of linear transport equations: Asymptotics and numerics (2014) [arXiv:1409.0476]
  3. with Jian-Guo Liu and Dionisios Margetis, Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions (2014) [arXiv:1409.0046]
  4. with Christian B. Mendl, Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation (2014) [arXiv:1408.1782]
  5. with Lin Lin and Sihong Shao, Analysis of the time reversible Born-Oppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 (2014), pp. 110-137 (Special issue on Molecular Dynamics Simulation.) [doi]
  6. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Comm. Math. Phys., vol. 328 no. 1 (2014), pp. 1-27 [doi]
  7. Yang Yang, Degao Peng, Jianfeng Lu, Weitao Yang, Excitation Energies from Particle-Particle Random Phase Approximation: Davidson Algorithm and Benchmark Studies, J. Chem. Phys., vol. 141 (2014), pp. 124104 [doi]
  8. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math., vol. 67 (2014), pp. 1605--1617 [doi]
  9. with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields (2014)
  10. with Qin Li, Weiran Sun, A convergent method for linear half-space kinetic equation (2014) [arXiv:1408.6630]
  11. with Bin Hu, Dynamic production capacity management with price skimming (2014)
  12. with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization (2014) [arXiv:1403.1525]
  13. with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezing transforms (2014) [arXiv:1402.1262]
  14. with Weinan E, Mathematical theory of solids: from quantum mechanics to continuum models, Discret. Contin. Dyn. Sys., vol. 34 (2014), pp. 5085-5097 [doi]
  15. with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation, J. Chem. Phys., vol. 141 (2014), pp. 044109 [arXiv:1404.4225], [doi]
  16. with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media (2014) [arXiv:1404.4729]
  17. with Vitaly Moroz, Cyrill B. Muratov, Orbital-free density functional theory of out-of-plane charge screening in graphene (2014) [arXiv:1405.4949]
  18. with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics, Commun. Math. Sci. (2013)
  19. with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal., vol. 20 no. 4 (2013), pp. 383--404 (Special issue dedicated to Stan Osher's 70th birthday.) [doi]
  20. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation, in SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682 [arXiv:1304.3542]
  21. with Pingbing Ming, Convergence of a force-based hybrid method for atomistic and continuum models in three dimension, Comm. Pure Appl. Math., vol. 66 (2013), pp. 83-108 [doi]
  22. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013) [doi]
  23. with Eric Vanden-Eijnden, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials, J. Chem. Phys., vol. 138 (2013), pp. 084105 [doi]
  24. with Weinan E, Xu Yang, Asymptotic analysis of the quantum dynamics: Bloch-Wigner transform and Bloch dynamics, Acta Math. Appl. Sin. Engl. Ser., vol. 29 (2013), pp. 465--476 [doi]
  25. with Weinan E, Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model, J. Math. Phys., vol. 53 (2012), pp. 115615 [doi]
  26. with Weinan E, Lin Lin, Lexing Ying, Optimized local basis function for Kohn-Sham density functional theory, J. Comput. Phys., vol. 231 (2012), pp. 4515
  27. with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451 [doi]
  28. with Weinan E, Lin Lin, Lexing Ying, Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation, J. Comput. Phys., vol. 231 (2012), pp. 2140 [doi]
  29. with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759 [doi]
  30. with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface, SIAM J. Numer. Anal. (2012)
  31. with Weinan E, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
  32. with Frank Noe, Marco Sarich, Christof Schutte, Eric Vanden-Eijnden, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105 [doi]
  33. with Weinan E, Lin Lin, Chao Yang, Lexing Ying, A fast parallel algorithm for selected inversion of structured sparse matrix with application to 2D electronic structure calculations, SIAM J. Sci. Comput., vol. 33 (2011), pp. 1329
  34. with Lin Lin, Lexing Ying, Fast construction of hierarchical matrix representation from matrix-vector multiplication, J. Comput. Phys., vol. 230 (2011), pp. 4071
  35. with Xu Yang, Frozen Gaussian approximation for high frequency wave propagation, Commun. Math. Sci., vol. 9 (2011), pp. 663 [doi]
  36. with Ingrid Daubechies, Hau-Tieng Wu, Synchrosqueezed wavelet transforms: a tool for empirical mode decomposition, Appl. Comp. Harmonic Anal., vol. 30 (2011), pp. 243 [doi]
  37. with Weinan E, Xu Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339
  38. with Weinan E, The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born rule, Arch. Ration. Mech. Anal., vol. 199 (2011), pp. 407 [doi]
  39. with Weinan E, Lin Lin, Juan Meza, Chao Yang, Lexing Ying, SelInv - an algorithm for selected inversion of a sparse symmetric matrix, ACM Trans. Math. Software, vol. 37 no. 40 (2011)
  40. with Weinan E, The electronic structure of smoothly deformed crystals: Cauchy-Born rule for nonlinear tight-binding model, Comm. Pure Appl. Math., vol. 63 (2010), pp. 1432
  41. with Weinan E, Tiejun Li, Localized basis of eigen-subspaces and operator compression, Proc. Natl. Acad. Sci. USA, vol. 107 (2010), pp. 1273
  42. with Roberto Car, Weinan E, Lin Lin, Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems, Phys. Rev. B, vol. 79 (2009), pp. 115133
  43. with Weinan E, Lin Lin, Lexing Ying, Pole-based approximation of the Fermi-Dirac function, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 729-742
  44. with Roberto Car, Weinan E, Lin Lin, Lexing Ying, Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems, Commun. Math. Sci., vol. 7 (2009), pp. 755-777
  45. with Weinan E, Carlos J. Garcia-Cervera, Yulin Xuan, A linear scaling subspace iteration algorithm with optimally localized non-orthogonal wave functions for Kohn-Sham density functional theory, Phys. Rev. B, vol. 79 (2009), pp. 115110
  46. with Weinan E, Carlos J. Garcia-Cervera, Weiqing Ren, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
  47. with Weinan E, Carlos J. Garcia-Cervera, Asymptotics-based sub-linear scaling algorithms and application to the study of the electronic structure of materials, Commun. Math. Sci., vol. 5 (2007), pp. 999-1024
  48. with Weinan E, The continuum limit and QM-continuum approximation of quantum mechanical models of solids, Commun. Math. Sci., vol. 5 (2007), pp. 679--696
  49. with Weinan E, Seamless multiscale modelling via dynamics on fiber bundles, Commun. Math. Sci., vol. 5 (2007), pp. 649-663
  50. with Weinan E, The elastic continuum limit of the tight binding model, Chin. Ann. Math. Ser. B, vol. 28 (2007), pp. 665-675
  51. with Weinan E, Jerry Z. Yang, Uniform accuracy of the quasicontinuum method, Phys. Rev. B, vol. 74 (2006), pp. 214115

Lucas, Timothy

  1. T.A. Lucas, Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms (Fall, 2007) (Submitted.) [PDF[abs] [author's comments]
  2. F. Mitha, T.A. Lucas, F. Feng, T.B. Kepler and C. Chan, The multiscale systems immunology project: Software forcell-based immunological simulation, Source Code for Biology and Medicine (Fall, 2007) (Submitted.) [PDF[abs]

Maggioni, Mauro

  1. M. Maggioni, Geometric Estimation of Probability Measures in High-Dimensions, Proc. IEEE Asilomar Conference (November, 2013)
  2. M. Iwen, M. Maggioni, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, Inference & Information, vol. 2 (February, 2013) [doi]
  3. A. Coppola, B. Wenner, R. Stevens, O. Ilkayeva, M. Maggioni, T. Slotkin, E. Levin, C. Newgard, Branched-chain amino acids alter neurobehavioral function in rats, American Journal of Physiology - Endocrinology and Metabolism, vol. 304 no. 4 (February, 2013) [doi]
  4. S. Gerber, M. Maggioni, Multiscale dictionaries, transforms, and learning in high-dimensions, Proc. SPIE 8858, Wavelets and Sparsity XV (2013) [doi]
  5. Kalyani Krishnamurthy, Alex Mrozack, Mauro Maggioni, and David Brady, Multiscale, dictionary-based speckle denoising, in Proc. Computational Optical Sensing and Imaging (2013), ISBN 978-1-55752-975-6 [doi]
  6. G. Chen, A.V. Little, M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis, vol. 1 (2013), Birkhaüser Boston, ISBN 978-0-8176-8375-7 [doi]
  7. M. Maggioni, What is...data mining?, A.M.S. Notices (April, 2012) [pdf]
  8. J. Bouvrie, M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
  9. J. Bouvrie, M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012) [pdf]
  10. J. Bouvrie, M. Maggioni, Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning (2012) [1212.1143]
  11. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature (2012)
  12. W.K. Allard, G. Chen, M. Maggioni, Multiscale Geometric Methods for Data Sets II: Geometric Wavelets, Appl. Comp. Harm. Anal., vol. 32 no. 3 (2012)
  13. G. Chen, A.V. Little, M. Maggioni, L. Rosasco, Some recent advances in multiscale geometric analysis of point clouds, in Wavelets and Multiscale Analysis: Theory and Applications (March, 2011), Springer
  14. G. Chen, M. Maggioni, Multiscale Analysis of Plane Arrangements, in Proc. C.V.P.R. (2011)
  15. Mary A. Rohrdanz, Wenwei Zheng, Mauro Maggioni,Cecilia Clementi, Determination of reaction coordinates via locally scaled diffusion map, JCP, vol. 134 no. 12 (2011), pp. 124116
  16. G. Chen, M. Maggioni, Multiscale Geometric Dictionaries for point-cloud data, Proc. SampTA 2011 (2011)
  17. Wenwei Zheng,Mary A. Rohrdanz,Mauro Maggioni, Cecilia Clementi, Polymer reversal rate calculated via locally scaled diffusion map, JCP, vol. 134 no. 14 (2011), pp. 144109
  18. Q. Wu, J. Guinney, M. Maggioni, S. Mukherjee, Learning gradients: predictive models that infer geometry and statistical dependence, J.M.L.R., vol. 11 (August, 2010), pp. 2175-2198  [abs]
  19. G. Chen, M. Maggioni, Multiscale Geometric Wavelets for the Analysis of Point Clouds, Proc. CISS (February, 2010)
  20. P.W. Jones, M. Maggioni, R. Schul, Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian, Ann. Acad. Scient. Fen., vol. 35 (January, 2010), pp. 1-44 [1975]  [abs]
  21. Justin Guinney, Phillip Febbo, Mauro Maggioni, Sayan Mukherjee, Multiscale factor models for molecular networks, JSM Proc. (2010), pp. 4887-4901, American Statistical Association, Alexandria, VA
  22. Eric E Monson, Rachael Brady, Guangliang Chen, Mauro Maggioni, Exploration & Representation of Data with Geometric Wavelets, Poster and short paper at Visweek 2010 (2010)
  23. J. Lee, M. Maggioni, Multiscale Analysis of Time Series of Graphs, Proc. SampTA 2011 (2010)
  24. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for estimating intrinsic dimension, Proc. SampTA 2011 (2010)
  25. W. Willinger, R. Rejaie, M. Torkjazi, M. Valafar, and M. Maggioni, Research on Online Social Networks: Time to Face the Real Challenges, Proc. HotMetrics '09 (2009)
  26. A V Little, J Lee, YM Jung, M Maggioni, Estimation of intrinsic dimensionality of samples from noisy low-dimensional manifolds in high dimensions with multiscale SVD, Proc. S.S.P. 2009 (2009)
  27. A V Little, J Lee, YM Jung, M Maggioni, Multiscale Estimation of Intrinsic Dimensionality of Data Sets, Proc. A.A.A.I., 2009 (2009)
  28. A.D. Szlam, R.R. Coifman, M. Maggioni, A general framework for adaptive regularization based on diffusion processes, Journ. Mach. Learn. Res. no. 9 (August, 2008), pp. 1711-1739
  29. Mauro Maggioni and Hrushikesh Mhaskar, Diffusion polynomial frames on metric measure spaces, Appl. Comp. Harm. Anal., vol. 3 (May, 2008), pp. 329-353
  30. P.W. Jones, M. Maggioni, R. Schul, Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels, Proc. Nat. Acad. Sci., vol. 105 no. 6 (2008)
  31. R R Coifman, I G Kevrekidis, S Lafon, M Maggioni, B. Nadler, Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems, J.M.M.S., vol. 7 (2008), pp. 842-864
  32. S. Mahadevan, M. Maggioni, Proto-value Functions: A Laplacian Framework for Learning Representation and Control, Journ. Mach. Learn. Res. no. 8 (September, 2007)
  33. E. Liberty, S. Zucker, Y. Keller, M. Maggioni, R.R. Coifman, F. Geshwind, Methods for filtering data and filling in missing data using nonlinear filtering, US Patent US2006/0214133 A1 (April, 2007)
  34. M. Maggioni, R Coifman, AC Coppi, GL Davis, RA DeVerse, WG Fately, F. Geshwind, FJ Warner, System and method for hyperspectral analysis, US Patent US2006/0074835 A1 (April, 2006)
  35. RR Coifman, A. Coppi, F. Geshwind, SS Lafon, AB Lee, M Maggioni, FJ Warner, SW Zucker, WG Fately, System and method for document analysis, processing and information extraction, U.S. Patent US2006/0004753A1 (January, 2006)
  36. James C Bremer and Ronald R Coifman and Mauro Maggioni and Arthur D Szlam, Diffusion Wavelet Packets, Tech. Rep. YALE/DCS/TR-1304, Yale Univ. 2004, Appl. Comp. Harm. Anal., vol. 21 no. 1 (2006), pp. 95--112
  37. Ronald R Coifman and Mauro Maggioni, Diffusion Wavelets, Appl. Comp. Harm. Anal., vol. 21 no. 1 (2006), pp. 53--94
  38. Ronald R. Coifman and Stephane Lafon and Mauro Maggioni and Yosi Keller and Arthur D. Szlam and Frederick J. Warner and Steven W. Zucker, Geometries of sensor outputs, inference, and information processing, in Proc. SPIE, edited by Intelligent Integrated Microsystems; Ravindra A. Athale, John C. Zolper; Eds., vol. 6232 (2006), pp. 623209
  39. Sridhar Mahadevan and Kimberly Ferguson and Sarah Osentoski and Mauro Maggioni, Simultaneous Learning of Representation and Control In Continuous Domains, in submitted, Proc. AAAI 2006 (2006)
  40. Mauro Maggioni and Gustave L. Davis and Frederick J. Warner and Frank B. Geshwind and Andreas C. Coppi and Richard A. DeVerse and Ronald R. Coifman, Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections, edited by Robert R. Alfano and Alvin Katz, Optical Biopsy VI, vol. 6091 no. 1 (2006), pp. 60910I, SPIE [1]
  41. Arthur D Szlam and Yoel Shkolnisky and James C Bremer and Mauro Maggioni, Image Denoising Via Graph Diffusions, in preparation (2006)
  42. Sridhar Mahadevan and Mauro Maggioni, Proto-value Functions: A Spectral Framework for Solving Markov Decision Processes, submitted (2006)
  43. Peter W Jones and Mauro Maggioni and Raanan Schul, Universal parametrizations via Eigenfunctions of the Laplacian (2006)
  44. Michael W Mahoney and Mauro Maggioni and Petros Drineas,, Tensor-CUR Decompositions For Tensor-Based Data, in Proc 12-th Annual SIGKDD, to appear in SIAM Journal on Matrix Analysis and Applications (2006)
  45. Mauro Maggioni and Ronald R Coifman, Multiscale Spectral Analysis on Data Sets with Diffusion Wavelets, in submitted (2006)
  46. Mauro Maggioni and Sridhar Mahadevan, Multiscale Diffusion Bases for Policy Iteration in Markov Decision Processes, submitted (2006)
  47. Ronald Raphel Coifman and Mauro Maggioni, Multiscale Analysis of Document Corpora (2006)
  48. Ronald R Coifman and Stephane Lafon and Ann Lee and Mauro Maggioni and Boaz Nadler and Frederick Warner and Steven Zucker, Geometric Diffusions as a tool for Harmonic Analysis and structure definition of data. Part II: Multiscale methods, Proc. of Nat. Acad. Sci. no. 102 (2005), pp. 7432--7438
  49. Ronald R Coifman and Mauro Maggioni and Steven W Zucker and Iannis G Kevrekidis, Geometric diffusions for the analysis of data from sensor networks, Curr Opin Neurobiol, vol. 15 no. 5 (2005), pp. 576--84
  50. Ronald R Coifman and Stephane Lafon and Ann Lee and Mauro Maggioni and Boaz Nadler and Frederick Warner and Steven Zucker, Geometric Diffusions as a tool for Harmonic Analysis and structure definition of data. Part I: Diffusion maps, Proc. of Nat. Acad. Sci. no. 102 (2005), pp. 7426--7431
  51. Mauro Maggioni and Sridhar Mahadevan, Fast Direct Policy Evaluation using Multiscale Analysis of Markov Diffusion Processes, in University of Massachusetts, Department of Computer Science Technical Report TR-2005-39; accepted at ICML 2006 (2005)
  52. Arthur D. Szlam and Mauro Maggioni and Ronald R. Coifman and James C. Bremer Jr., Diffusion-driven multiscale analysis on manifolds and graphs: top-down and bottom-up constructions, edited by Manos Papadakis and Andrew F. Laine and Michael A. Unser, Wavelets XI, vol. 5914 no. 1 (2005), pp. 59141D, SPIE [1]
  53. Mauro Maggioni and James C. BremerJr. and Ronald R. Coifman and Arthur D. Szlam, Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs, edited by Manos Papadakis and Andrew F. Laine and Michael A. Unser, Wavelets XI, vol. 5914 no. 1 (2005), pp. 59141M, SPIE [1]
  54. Sridhar Mahadevan and Mauro Maggioni, Value Function Approximation with Diffusion Wavelets and Laplacian Eigenfunctions, in University of Massachusetts, Department of Computer Science Technical Report TR-2005-38; Proc. NIPS 2005 (2005)
  55. E Causevic and R~R Coifman and R Isenhart and A Jacquin and E~R John and M Maggioni and L~S Prichep and F~J Warner, QEEG-based classification with wavelet packets and microstate features for triage applications in the ER (2005)
  56. William Goetzmann and Peter W Jones and Mauro Maggioni and Johan Walden, Beauty is in the eye of the beholder, submitted (2004)
  57. Mauro Maggioni and Frederick J Warner and Gustave L Davis and Ronald R Coifman and Frank B Geshwind and Andreas C Coppi and Richard A DeVerse, Algorithms from Signal and Data Processing Applied to Hyperspectral Analysis: Application to Discriminating Normal and Malignant Microarray Colon Tissue Sections, submitted (2004)
  58. Mauro Maggioni, Wavelet frames on groups and hypergroups via discretization of Calder\'on formulas, Monats. Mat. no. 143 (2004), pp. 299--331
  59. RJ Cassidy and J Berger and Mauro Maggioni and RR Coifman, Auditory display of hyperspectral colon tissue images using vocal synthesis models, Proc. 2004 Intern. Con. Auditory Display (2004)
  60. Gustave L Davis and Mauro Maggioni and Frederick J Warner and Frank B Geshwind and Andreas C Coppi and Richard A DeVerse and Ronald R Coifman, Spectral Analysis of normal and Malignant Microarray Tissue Sections using a novel micro-optoelectrialmechanical system, Mod Pathol, vol. 17 no. 1:358A (2004)
  61. Gustave L Davis and Mauro Maggioni and Ronald R Coifman and Richard Levinson and David Rimm, Spatial-Spectral Analysis of Colon Carcinoma, Mod. Path. (2004)
  62. S. Ferrari and M. Maggioni and N. A. Borghese, Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks,, IEEE Trans. on Neural Networks, vol. 15 no. 1 (2004), pp. 178--188
  63. GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman, Hyper-spectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system (2004) (Poster, Optical Imaging NIH workshop, to app. in proc..)
  64. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)
  65. Nets Hawk Katz and Elliot Krop and Mauro Maggioni, On the box problem, Math. Research Letters, vol. 4 (2002), pp. 515-519
  66. CK Chui and W Czaja and Mauro Maggioni and G Weiss, Characterization of Tight Wavelet Frames with Arbitrary Matrix Dilations and Tightness Preserving Oversampling, J Four Anal App, vol. 8 no. 2 (2002), pp. 173-200
  67. Mauro Maggioni, Critical Exponent of Short Even Filters and Biorthogonal Burt-Adelson Wavelets, Monats. Math., vol. 131 no. 1 (2000), pp. 49-70
  68. Mauro Maggioni, M-Band Burt-Adelson Wavelets, Appl. Comput. Harm. Anal., vol. 3 (2000), pp. 286-311

Marcano-Velázquez, Mariano

  1. Mariano Marcano-Velázquez and Pablo V. Negrón-Marrero, The numericalsolution of the von Kármán equations using multigrid methods, Congressus Numerantium, vol. 94, (1993), pp. 17-28  [abs]
  2. R. P. Tewarson and M. Marcano, Use of generalized inverse in a renaloptimization problem, Inverse Problems in Engineering, vol. 5, (1997), pp. 1-9  [abs]
  3. R. P. Tewarson, W. Toro, and M. Marcano, Preferential interaction andinverse problem algorithms in models of renal concentrating mechanism, Appl. Math. Letters, vol. 11, (1998), pp. 51-59  [abs]

Matic, Ivan

  1. Ivan Matic, James Nolen, A sublinear variance bound for solutions of a random Hamilton-Jacobi equation, J Stat Phys, vol. 149 no. 2 (September, 2012), pp. 342-361, Springer, ISSN 149:342-361 [2937]  [abs]
  2. D. Djukic, V. Jankovic, I. Matic, N. Petrovic, The IMO Compendium (Spring, 2011) [978-1-4419-9853-8]
  3. I. Matic, Large deviations for processes in random environments with jumps, Electronic Journal of probability, vol. 16 no. 87 (11-23-2011), pp. 2406-2438, Institute of Mathematical Statistics, ISSN 1083-6489 [viewarticle.php]  [abs]

Matthews, John V.

  1. P.A. Gremaud, J.V. Matthews, D.G. Schaeffer, Secondary Circulation in Granular Flow through Nonaxisymmetric Hoppers, SIAM J. Appl. Math. (To Appear), SIAM  [abs]
  2. P.A. Gremaud, J.V. Matthews, On the Computation of Steady Hopper Flows II: von Mises Materials in Various Geometries, J. Comput. Phys. (Submitted)  [abs]
  3. J.V. Matthews, D.G. Schaeffer, A Well-Posed Free Boundary Value Problem for a Hyperbolic Equation with Dirichlet Boundary Conditions, SIAM J. of Math Anal. (To Appear), accepted 2003  [abs]
  4. Pierre A. Gremaud, John Matthews, On the Computation of Steady Hopper Flows: I, Stress Determination for Coulomb Materials, J. Comput. Phys., 165, (2000), pp. 1-21  [abs]
  5. Pierre A. Gremaud, John V. Matthews, Michael Shearer, Similarity solution for granular flows in hoppers, Proceedings of the SIAM/AMS Conference on Nonlinear PDEs, Dynamics and Continuum Physics; J. Bona, K. Saxton, R. Saxton, Eds.; AMS Contemporary Mathematics Series, 2000, pp. 79-95  [abs]
  6. Pierre A. Gremaud, John V. Matthews, Simulation of Gravity Flow of Granular Materials in Hoppers, Proceedings of the International Symposium on Discontinuous Galerkin Methods; B. Cockburn, G. Karniadakis, C.W. Shu Eds.; 1999, pp. 125-134  [abs]

Mattingly, Jonathan C.

  1. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014) [arXiv:1404.0955]
  2. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014) [arXiv:1404.0957]
  3. with Yuri Bakhtin, Tobias Hurth, Regularity of invariant densities for 1D-systems with random switching (2014) [arXiv:1406.5425]  [abs]
  4. with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs (2014) [arXiv:1407.2264]  [abs]
  5. Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example, Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10 (2014), pp. 4223--4257 [arXiv:1403.3593]  [abs]
  6. with Sean D. Lawley and Michael C. Reed, Sensitivity to switching rates in stochastically switched ODEs (2014) [arXiv:1310.2525]  [abs]
  7. Thomas Hotz, Sean Skwerer, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, Ezra Miller, James Nolen, Megan Owen, Vic Patrangenaru, Sticky central limit theorems on open books, Ann. Appl. Probab., vol. 23 no. 6 (2013), pp. 2238--2258 [arXiv:1202.4267]  [abs]
  8. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) [arXiv:1307.6530]  [abs]
  9. with Avanti Athreya, Tiffany Kolba, Propagating Lyapunov functions to prove noise-induced stabilization, Ellectronic Journal of Probability, vol. 17 (November 2, 2012), pp. 1-38 [math/111.1755], [2410], [doi]  [abs]
  10. with Mattingly, Jonathan C. and McKinley, Scott A. and Pillai, Natesh S., Geometric ergodicity of a bead--spring pair with stochastic {S}tokes forcing, Stochastic Processes and their Applications, vol. 122 no. 12 (2012), pp. 3953--3979, ISSN 0304-4149 [MR2971721], [0902.4496]  [abs]
  11. A. Porporato, P. R. Kramer, M. Cassiani, E. Daly, J. Mattingly, A Local Kinetic Interpretation of Entropy Production through Reversed Diffusion, Phys. Rev. E no. 84 (Fall, 2011) [process.], [doi]  [abs]
  12. with Natesh S. Pillai, Andrew M. Stuart, Diffusion Limits of the Random Walk Metropolis Algorithm in High Dimensions, Annals of Applied Probability (June, 2011) [1003.4306]  [abs]
  13. Katia Koelle, Oliver Ratmann, David Rasmussen, Virginia Pasour, Jonathan Mattingly, A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses, Proc. R. Soc. B (May 4, 2011)  [abs]
  14. with David Anderson, A weak trapezoidal method for a class of stochastic differential equations, Communications in Mathematical Sciences, vol. 9 no. 1 (March, 2011), pp. 301 - 318 [0906.3475]  [abs]
  15. with Martin Hairer, A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs, EJP, vol. 16 no. 23 (2011), pp. 658–738 [arXiv:0808.1361], [getdoc.php]
  16. with Matthias Heymann, Stephen W. Teitsworth, Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices (2010) [1008.4037]  [abs]
  17. with Mattingly, Jonathan C. and Stuart, Andrew M. and Tretyakov, M. V., Convergence of numerical time-averaging and stationary measures via {P}oisson equations, SIAM Journal on Numerical Analysis, vol. 48 no. 2 (2010), pp. 552--577, ISSN 0036-1429 [MR2669996], [0908.4450], [090770527]  [abs]
  18. with Martin Hairer, Michael Scheutzow, Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations, Probability Theory and related Fields (2009) [MR2531551], [0902.4495]  [abs]
  19. Hairer, Martin and Mattingly, Jonathan C., Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2008), pp. 999--1032, ISSN 0010-3640 [MR2531551], [arXiv:0712.3884]  [abs]
  20. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777]  [abs]
  21. with Martin Hairer, Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations, Annals of Probability no. 6 (2008), pp. 993--1032 [MR2478676], [math.PR/0602479]  [abs]
  22. with Iyer, Gautam and Mattingly, Jonathan, A stochastic-{L}agrangian particle system for the {N}avier-{S}tokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537--2553, ISSN 0951-7715 [MR2448230 (2009h:76060)], [arXiv:0803.1222]
  23. Mattingly, Jonathan C. and Suidan, Toufic M., Transition measures for the stochastic {B}urgers equation, in Integrable systems and random matrices, Contemp. Math., , Integrable systems and random matrices, vol. 458 (2008), pp. 409--418, Amer. Math. Soc., Providence, RI [MR2411921]
  24. David Anderson and Jonathan C. Mattingly, Propagation of fluctuations in biochemical systems, II: nonlinear chains, IET Systems Biology, vol. 1 no. 6 (November, 2007), pp. 313-325
  25. Mattingly, Jonathan C. and Suidan, Toufic and Vanden-Eijnden, Eric, Simple systems with anomalous dissipation and energy cascade, Communications in Mathematical Physics, vol. 276 no. 1 (2007), pp. 189--220, ISSN 0010-3616 [MR2342292 (2008m:37135)], [math-ph/0607047]  [abs]
  26. Lamba, H. and Mattingly, J. C. and Stuart, A. M., An adaptive {E}uler-{M}aruyama scheme for {SDE}s: convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (2007), pp. 479--506, ISSN 0272-4979 [MR2337577], [math.PR/0409057]]  [author's comments]
  27. Anderson, David F. and Mattingly, Jonathan C. and Nijhout, H. Frederik and Reed, Michael C., Propagation of fluctuations in biochemical systems. {I}. {L}inear {SSC} networks, Bulletin of Mathematical Biology, vol. 69 no. 6 (2007), pp. 1791--1813, ISSN 0092-8240 [MR2329180]
  28. Mattingly, Jonathan C. and Suidan, Toufic M. and Vanden-Eijnden, Eric, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145--1152, ISSN 0022-4715 [MR2348788], [math-ph/0607047]  [abs]
  29. Bakhtin, Yuri and Mattingly, Jonathan C., Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (2007), pp. 307--353, ISSN 0022-1236 [MR2345335], [math.PR/0610754]  [abs]
  30. Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus for the Stochastic 2D Navier Stokes Equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (December, 2006), pp. 1742 - 1790 [math.PR/0407215]  [abs]
  31. Martin Hairer, J.C. Mattingly, Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing, Annals of Mathematics, vol. 164 no. 3 (November, 2006) [math.PR/0406087]  [abs]
  32. H. Frederik Nijhout, Michael C. Reed, David F. Anderson, Jonathan C. Mattingly, S. Jill james, and Cornelia M. Ulrich, Long-Range Allosteric Interactions between the Folate and Methionine Cycles Stabilize DNA Methylation Reaction Rate, Epigenetics, Epigenetics, vol. 1 no. 2 (April/May 2006), pp. 81-87
  33. Bakhtin, Yuri and Mattingly, Jonathan C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (2005), pp. 553--582, World Scientific (ISSN: 0219-1997.) [MR2175090], [math.PR/0509166]  [abs]
  34. Mattingly, Jonathan C. and Suidan, Toufic M., The small scales of the stochastic Navier-Stokes equations under rough forcing, Journal of Statistical Physics, vol. 118 no. 1-2 (2005), pp. 343--364 (ISSN: 0022-4715.) [MR2122959], [math-ph/0408060]  [abs]
  35. Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation, Comptes rendus Mathematique (CRAS), In press (Summer, 2004) [math.PR/0409057]  [abs] [author's comments]
  36. Hairer, Martin and Mattingly, Jonathan C., Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris, vol. 339 no. 12 (2004), pp. 879--882 (ISSN: 1631-073X.) [MR2111726]
  37. Martin Hairer, Jonathan C. Mattingly and Étienne Pardoux, Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations, Comptes Rendus Mathematique, vol. 339 no. 11 (2004), pp. 793-796 [MR2110383]
  38. J.C. Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations, Journées "Équations aux Dérivées Partielles" (Forges-les-Eaux, 2003), vol. XV (Summer, 2003), pp. viii+298, Universit\'e de Nantes, Nantes (Held in Forges-les-Eaux, June 2--6, 2003, The papers are available electronically at \url{http://www.math.sciences.univ-nantes.fr/edpa}.) [MR2050586(2004j:00022)], [pdf]  [abs]
  39. Mattingly, Jonathan C., The dissipative scale of the stochastics Navier-Stokes equation: regularization and analyticity, J. Statist. Phys., vol. 108 no. 5-6 (2002), pp. 1157--1179 (Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.) [MR2004e:76035], [pdf]  [abs]
  40. Mattingly, J. C., Contractivity and ergodicity of the random map {$x\mapsto\vert x-\theta\vert $}, Teor. Veroyatnost. i Primenen., vol. 47 no. 2 (2002), pp. 388--397 [MR2004f:60148], [pdf]  [abs] [author's comments]
  41. Mattingly, J. C. and Stuart, A. M., Geometric ergodicity of some hypo-elliptic diffusions for particle motions, Markov Process. Related Fields, vol. 8 no. 2 (2002), pp. 199--214 (Inhomogeneous random systems (Cergy-Pontoise, 2001).) [MR2003g:60101], [pdf]  [abs]
  42. Mattingly, J. C. and Stuart, A. M. and Higham, D. J., Ergodicity for {SDE}s and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Process. Appl., vol. 101 no. 2 (2002), pp. 185--232 [MR2003i:60103], [pdf]  [abs]
  43. J.C. Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Comm. Math. Phys., vol. 230 no. 3 (2002), pp. 421--462 [MR2004a:76039], [pdf]
  44. E, Weinan and Mattingly, Jonathan C., Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation, Comm. Pure Appl. Math., vol. 54 no. 11 (2001), pp. 1386--1402 [MR2002g:76075], [pdf]  [abs]
  45. Holmes, P. J. and Mattingly, J. C. and Wittenberg, R. W., Low-dimensional models of turbulence or, The dynamics of coherent structures, in From finite to infinite dimensional dynamical systems (Cambridge, 1995), From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19, pp. 177--215, 2001, Kluwer Acad. Publ., Dordrecht, From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19 (2001), pp. 177--215, Kluwer Acad. Publ., Dordrecht [MR2004h:76106]
  46. W. E, J.C. Mattingly, Ya Sinai, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Comm. Math. Phys., vol. 224 no. 1 (2001), pp. 83--106 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf]
  47. Mattingly, Jonathan C., Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity, Comm. Math. Phys., vol. 206, no. 2, pp. 273--288, 1999 [MR2000k:76040], [pdf]
  48. Mattingly, J. C. and Sinai, Ya. G., An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations, Commun. Contemp. Math., vol. 1, no. 4, pp. 497--516, 1999 [MR2000j:35226], [pdf]  [abs]
  49. Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998 [ps]
  50. Holmes, Philip J. and Lumley, John L. and Berkooz, Gal and Mattingly, Jonathan C. and Wittenberg, Ralf W., Low-dimensional models of coherent structures in turbulence, Phys. Rep., vol. 287, no. 4, pp. 337--384, 1997 [MR98j:76065], [pdf]

McGoff, Kevin A

  1. K. McGoff, Random subshifts of finite type, Annals of Probability, vol. 40 no. 2 (2012), pp. 648–694 [arXiv:1006.1325v1], [1332772716]
  2. D. Burguet and K. McGoff, Orders of accumulation of entropy, Fundamenta Mathematicae, vol. 216 no. 1 (2012), pp. 1-53 [arXiv:0911.4083v1], [doi]
  3. K. McGoff, S. Mukherjee, and N. Pillai, Statistical inference for dynamical systems: a review, Statistical Surveys (2012) [arXiv:1204.6265]
  4. K.A. McGoff, Orders of accumulation of entropy on manifolds, Journal d'Analyse Mathematique, vol. 114 no. 1 (2011), pp. 157-206 [arXiv:0912.1783], [available here]

McKinley, Scott A

  1. Jonathan C. Mattingly, Scott A. McKinley, Natesh S. Pillai, Geometric ergodicity of a bead-spring system advected by a stochastic Stokes fluid (Winter, 2009) [4496]
  2. Scott A. McKinley, Lingxing Yao and M. Gregory Forest, Transient Anomalous Diffusion of Tracer Particles in Soft Matter, Journal of Rheology (Nov/Dec 2009)
  3. Scott A. McKinley, Lea Popovic and Michael C. Reed, A Spatial Markov Model for Fast Axonal Transport (2009) [0911.2722]
  4. Scott A. McKinley, Anomalous Diffusion of Distinguished Particles in Bead-Spring Systems (2009) [0911.4293]

Mihalcea, Leonardo Constantin

  1. Anders S. Buch and Leonardo C. Mihalcea, Quantum K-theory of Grassmannians, submitted (2008) [arXiv:0810.0981]
  2. Takeshi Ikeda, Leonardo C. Mihalcea and Hiroshi Naruse, Double Schubert polynomials for the classical groups (2008) [arXiv:0810.1348]
  3. L. Mihalcea, Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes, submitted (2007) [math.CO/0702566]
  4. Leonardo C. Mihalcea, On equivariant quantum cohomology of homogeneous spaces: a Chevalley formula and algorithms, to appear in Duke Math. J. (2006) [math.AG/0501213]
  5. with Paolo Aluffi, Chern classes of Schubert cells and varieties, to appear in Journal of Algebraic Geometry; Max Planck Institute fur Mathematik preprint series (2006) [math.AG/0607752]
  6. L. Mihalcea, Equivariant quantum Schubert Calculus, Advances in Math. (2005) [math.AG/0406066]
  7. L. Mihalcea, Giambelli formulae for the equivariant quantum cohomology of the Grassmannian, Transactions of AMS (2005) [math.CO/0506335]
  8. L. Mihalcea, Positivity in equivariant quantum Schubert Calculus, American Journal of Mathematics (2005) [math.AG/0407239]
  9. with Gianni Ciolli, A canonical resolution of singularities of a triple covering of algebraic surfaces, Le Matematiche - proceedings of the Summer School ``Pragmatic (2001)

Mileyko, Yuriy

  1. Yuriy Mileyko, Sayan Mukherjee, and John Harer, Probability measures on the space of persistence diagrams, Inverse Problems, vol. 27 (2011) (124007.)
  2. Y. Mileyko, H. Edelsbrunner, C. A. Price, and J. S. Weitz, Hierarchical ordering of reticular networks (2011)
  3. Charles A. Price, Olga Symonova, Yuriy Mileyko, Troy Hilley and Joshua S. Weitz, LEAF GUI: segmenting and analyzing the structure of leaf veins and areole, Plant Physiology, vol. 155 no. 1 (2011), pp. 236-245
  4. Y. Mileyko and J.S. Weitz, Bifurcation Analysis of Gene Regulatory Circuits Subject to Copy Number Variation, SIAM Journal on Applied Dynamical Systems, vol. 9 no. 3 (July 6, 2010), pp. 799-826
  5. A. Iyer-Pascuzzi, O. Symonova, Y. Mileyko, Y. Hao, H. Belcher, J. Harer, J.S. Weitz and P. Benfey, Imaging and Analysis Platform for Automatic Phenotyping and Classification of Plant Root Systems, Plant Physiology, vol. 152 no. 3 (March, 2010), pp. 1148-1157
  6. D. Cohen-Steiner, H. Edelsbrunner, J. Harer, and Y. Mileyko, Lipschitz functions have Lp-stable persistence, Foundations of Computational Mathematics, vol. 10 no. 2 (January, 2010), pp. 127-139
  7. Y. Mileyko, R. I. Joh, and J. S. Weitz, Small-scale copy number variation and large-scale changes in gene expression, Proceedings of the National Academy of Sciences USA, vol. 105 (2008), pp. 16659-16664
  8. Y. Mileyko, J. S. Weitz, Y. Mileyko, R. I. Joh, and E. Voit, Collective Decision Making in Bacterial Viruses, Biophysical Journal, vol. 95 (2008), pp. 2673-2680
  9. M.-L. Dequeant, S. Ahnert, H. Edelsbrunner, T. M. A. Fink, E. F. Glynn, G. Hattem, A. Kudlicki, Y. Mileyko, J. Morton, A. R. Mushegian, L. Pachter, M. Rowicka, A. Shiu, B. Sturmfels, Olivier Pourquie, Comparison of Pattern Detection Methods in Microarray Time Series of the Segmentation Clock, PLoS ONE, vol. 3 no. 8 (2008), pp. e2856
  10. D. Attali and H. Edelsbrunner and Y. Mileyko, Weak Witnesses for Delaunay Triangulations of Submanifolds, SPM '07: Proceedings of the 2007 ACM symposium on Solid and physical modeling, vol. 95 (2007), pp. 143-150
  11. D. Attali, H. Edelsbrunner, J. Harer and Y. Mileyko, Alpha-Beta Witness Complexes, Proceeding of the 11th Workshop on Algorithms and Data Structures, vol. 4619 (2007), pp. 386-397
  12. D. Blackmore and Y. Mileyko, Computational Dfferential Topology, Applied General Topology, Applied General Topology, vol. 8 no. 1 (2007), pp. 35-92

Miller, Ezra

  1. Sean Skwerer, Elizabeth Bullitt, Stephan Huckemann, Ezra Miller, Ipek Oguz, Megan Owen, Vic Patrangenaru, Scott Provan, and J.S. Marron, Tree-oriented analysis of brain artery structure, Journal of Mathematical Imaging and Vision (2013) (25 pages.)  [abs]
  2. Affine stratifications from finite misère quotients, Journal of Algebraic Combinatorics, vol. 37 (2013), pp. 1-9 [math.CO/1009.2199], [DOI:10.1007/s10801-012-0355-3]  [abs]
  3. with Alan Guo, Algorithms for lattice games, International Journal of Game Theory, vol. 42 no. 4 (2013), pp. 777-788 [math.CO/1105.5413], [DOI:10.1007/s00182-012-0319-9]  [abs]
  4. with Thomas Hotz, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, James Nolen, Megan Owen, Vic Patrangenaru, and Sean Skwerer, Sticky central limit theorems on open books, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [math.PR/1202.4267], [DOI:10.1214/12-AAP899]  [abs]
  5. with Manoj Gopalkrishnan and Anne Shiu, A projection argument for differential inclusions, with applications to persistence of mass-action kinetics, SIGMA (Symmetry, Integrability, and Geometry: Methods and Applications), vol. 9 (2013) (paper 025, 25 pages.) [math.DS/1208.0874], [DOI:10.3842/SIGMA.2013.025]  [abs]
  6. with Manoj Gopalkrishnan and Anne Shiu, A geometric approach to the Global Attractor Conjecture, SIADS (SIAM Journal on Applied Dynamical Systems) (2013) (49 pages.) [math.DS/1305.5303]  [abs]
  7. with Thomas Kahle, Decompositions of commutative monoid congruences and binomial ideals, Algebra & Number Theory (2012) (62 pages.) [math.AC/1107.4699]  [abs]
  8. with Megan Owen and Scott Provan, Polyhedral computational geometry for averaging metric phylogenetic trees (2012) (43 pages.) [math.MG/1211.7046]  [abs]
  9. with Christine Berkesch and Stephen Griffeth, Systems of parameters and holonomicity of hypergeometric systems (2012) (5 pages.)  [abs]
  10. with Dave Anderson and Stephen Griffeth, Positivity and Kleiman transversality in equivariant K-theory of homogeneous spaces, Journal of the European Mathematical Society, vol. 13 (2011), pp. 57-84 [math.AG/0808.2785], [DOI:10.4171/JEMS/244]  [abs]
  11. with Alan Guo, Lattice point methods for combinatorial games, Advances in Applied Mathematics, vol. 46 (2011), pp. 363-378; erratum: ibid 48 (2012) 269-271 ([math.CO/0908.3473] [math.CO/1105.5420].) [DOI:10.1016/j.aam.2010.10.004]  [abs]
  12. Theory and applications of lattice point methods for binomial ideals, in Combinatorial aspects of commutative algebra and algebraic geometry, Proceedings of Abel Symposium held at Voss, Norway, 1--4 June 2009, Abel Symposia, vol. 6 (2011), pp. 99-154, Springer, Berlin-Heidelberg [math.AC/1009.2823]
  13. with Isabella Novik and Ed Swartz, Face rings of simplicial complexes with singularities, Mathematische Annalen, vol. 351 (2011), pp. 857-875 [math.AC/1001.2812], [DOI:10.1007/s00208-010-0620-5]  [abs]
  14. with Alicia Dickenstein and Laura F. Matusevich, Combinatorics of binomial primary decomposition, Mathematische Zeitschrift, vol. 264 no. 4 (2010), pp. 745-763 [math.AC/0803.3846], [DOI:10.1007/s00209-009-0487-x]
  15. with Binomial D-modules, Duke Mathematical Journal, vol. 151 no. 3 (2010), pp. 385-429 [math.AG/0610353], [DOI:10.1215/00127094-2010-002]
  16. with Alan Guo and Mike Weimerskirch, Potential applications of commutative algebra to combinatorial game theory, in Kommutative Algebra, Oberwolfach Reports, edited by Winfried Bruns, Hubert Flenner, and Craig Huneke, vol. 22 (2009), pp. 23-26
  17. edited with Viviana Ene, Combinatorial aspects of commutative algebra, Contemporary Mathematics, vol. 502 (2009), AMS
  18. Topological Cohen-Macaulay criteria for monomial ideals, in Combinatorial aspects of commutative algebra, Contemporary Mathematics, edited by Viviana Ene and Ezra Miller, vol. 502 (2009), pp. 137-156, ISBN 978-0-8218-4758-9 [math.AC/0809.1458]
  19. with Allen Knutson and Alexander Yong, Gröbner geometry of vertex decompositions and of flagged tableaux, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], vol. 630 (2009), pp. 1-31 [MR2526784], [math.CO/0502144]
  20. Alexander duality for monomial ideals and their resolutions, Rejecta Mathematica, vol. 1 (2009), pp. 18-57 [math.AC/9812095], [download]  [author's comments]
  21. What is ... a toric variety?, Notices of the American Mathematical Society, vol. 55 no. 5 (2008), pp. 586-587 [MR2404030]
  22. with Allen Knutson and Alexander Yong, Tableau complexes, Israel Journal of Mathematics, vol. 163 (2008), pp. 317-343 [MR2009b:05264], [math.CO/0510487]
  23. with Shin-Yao Jow, Multiplier ideals of sums via cellular resolutions, Mathematical Research Letters, vol. 15 no. 2 (2008), pp. 359-373 [MR2009b:14004], [math.AG/0703299]
  24. with Igor Pak, Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings, Discrete and Computational Geometry, vol. 39 no. 1-3 (2008), pp. 339-388 [MR2008m:52027], [math.MG/0312253]
  25. with David E Speyer, A Kleiman-Bertini theorem for sheaf tensor products, Journal of Algebraic Geometry, vol. 17 no. 2 (2008), pp. 335-340 [MR2008k:14044], [math.AG/0601202]
  26. edited with Victor Reiner and Bernd Sturmfels, Geometric combinatorics (Lectures from the Graduate Summer School held in Park City, UT, 2004), IAS/Park City Mathematics Series, vol. 13 (2007), pp. xii+691, American Mathematical Society, Providence, RI, ISBN 978-0-8218-3736-8; 0-8218-3736-2 [MR2009i:05001]
  27. with Srikanth Iyengar, Graham Leuschke, Anton Leykin, Claudia Miller, Anurag Singh, and Uli Walther, Twenty-four hours of local cohomology, Graduate Studies in Mathematics, vol. 87 (2007), pp. xviii+282, American Mathematical Society, Providence, RI, ISBN 978-0-8218-4126-6 [MR2009a:13025]
  28. with Victor Reiner, What is geometric combinatorics?---An overview of the graduate summer school, in Geometric combinatorics, IAS/Park City Math. Ser., vol. 13 (2007), pp. 1-17, Amer. Math. Soc., Providence, RI [MR2383124]
  29. with Ning Jia, Duality of antidiagonals and pipe dreams, Séminaire Lotharingien de Combinatoire, vol. 58 (2007), Art. B58e (6 pages) [MR2009m:05196], [math.CO/0706.3031]
  30. with Alicia Dickenstein and Laura Matusevich, Extended abstract: Binomial D-modules, in Proceedings MEGA (Effective Methods in Algebraic Geometry), Strobl, Austria (2007), 13 pages [pdf]
  31. with Shin-Yao Jow, Extended abstract: Cellular resolutions of multiplier ideals of sums, in Topological and geometric combinatorics, abstracts from the Jan. 28-Feb. 3, 2007 workshop, Oberwolfach Reports, edited by Anders Björner, Gil Kalai, and Günter Ziegler, vol. 4 no. 1 (2007), 3 pages
  32. with Vic Reiner, Stanley's simplicial poset conjecture, after M. Masuda, Communications in Algebra, vol. 34 no. 3 (2006), pp. 1049-1053 [MR2006m:13023]
  33. with Laura Felicia Matusevich, Combinatorics of rank jumps in simplicial hypergeometric systems, Proceedings of the American Mathematical Society, vol. 134 no. 5 (2006), pp. 1375-1381 (electronic) [MR2006j:33016], [math.AC/0402071]
  34. with Allen Knutson and Mark Shimozono, Four positive formulae for type A quiver polynomials, Inventiones Mathematicae, vol. 166 no. 2 (2006), pp. 229-325 [MR2007k:14098], [math.AG/0308142]
  35. with Laura Matusevich and Uli Walther, Extended abstract: Homological methods for hypergeometric families, in Convex and algebraic geometry, abstracts from the workshop held Jan. 29-Feb. 4, 2006, Oberwolfach Reports, edited by Klaus Altmann, Victory Batyrev, and Bernard Teissier, vol. 3 no. 1 (2006), 3 pages
  36. with Bernd Sturmfels, Combinatorial commutative algebra, Graduate Texts in Mathematics, vol. 227 (2005), pp. xiv+417, Springer-Verlag, New York, ISBN 0-387-22356-8 [MR2006d:13001]
  37. with Allen Knutson, Gröbner geometry of Schubert polynomials, Annals of Mathematics (2), vol. 161 no. 3 (2005), pp. 1245-1318 [MR2006i:05177], [math.AG/0110058]
  38. with David Helm, Algorithms for graded injective resolutions and local cohomology over semigroup rings, Journal of Symbolic Computation, vol. 39 no. 3-4 (2005), pp. 373-395 [MR2007d:13025], [math.AC/0309256]
  39. with Laura Felicia Matusevich and Uli Walther, Homological methods for hypergeometric families, Journal of the American Mathematical Society, vol. 18 no. 4 (2005), pp. 919-941 (electronic) [MR2007d:13027], [math.AG/0406383]
  40. with Alternating formulas for K-theoretic quiver polynomials, Duke Mathematical Journal, vol. 128 no. 1 (2005), pp. 1-17 [MR2006e:05181], [math.CO/0312250]
  41. with Mikhail Kogan, Toric degeneration of Schubert varieties and Gelfand-Tsetlin polytopes, Advances in Mathematics, vol. 193 no. 1 (2005), pp. 1-17 [MR2006d:14054], [math.AG/0303208]
  42. with Allen Knutson, Subword complexes in Coxeter groups, Advances in Mathematics, vol. 184 no. 1 (2004), pp. 161-176 [MR2005c:20066], [math.CO/0309259]
  43. Appendix to: Mark Haiman, Commutative algebra of n points in the plane, in Trends in commutative algebra, Math. Sci. Res. Inst. Publ., edited by Luchezar Avramov, Mark Green, Craig Huneke, Karen Smith, and Bernd Sturmfels, vol. 51 (2004), pp. 153-180, Cambridge Univ. Press, Cambridge [MR2006c:14005]
  44. with Victor Reiner, Reciprocal domains and Cohen-Macaulay d-complexes in R^d, Electronic Journal of Combinatorics, vol. 11 no. 2 (2004), pp. Note 1, 9 pp. (electronic) [MR2005k:52024], [math.CO/0408169]
  45. Mitosis recursion for coefficients of Schubert polynomials, Journal of Combinatorial Theory, Series A, vol. 103 no. 2 (2003), pp. 223-235 [MR2004i:05157], [math.CO/0212131]
  46. with David Helm, Bass numbers of semigroup-graded local cohomology, Pacific Journal of Mathematics, vol. 209 no. 1 (2003), pp. 41-66 [MR2004c:13028], [math.AG/0010003]
  47. with David Helm, Extended abstract: Algorithms for graded injective resolutions and local cohomology over semigroup rings, in Proceedings MEGA (Effective Methods in Algebraic Geometry), Kaiserslautern, Germany (2003), 5 pages
  48. Planar graphs as minimal resolutions of trivariate monomial ideals, Documenta Mathematica, vol. 7 (2002), pp. 43-90 (electronic) [MR2003d:05055], [download]
  49. Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions, Mathematical Research Letters, vol. 9 no. 1 (2002), pp. 117-128 [MR2003a:13015], [math.AC/0110096]
  50. Graded Greenlees-May duality and the Čech hull, in Local cohomology and its applications (Guanajuato, 1999), Lecture Notes in Pure and Appl. Math., vol. 226 (2002), pp. 233-253, Dekker, New York [MR2004b:13019]
  51. with Allen Knutson, Extended abstract: Gröbner geometry of Schubert polynomials, in Proceedings FPSAC (Formal Power Series and Algebraic Combinatorics), Melbourne (2002), 10 pages
  52. with David Perkinson, Eight lectures on monomial ideals, Queen's papers in pure and applied mathematics, vol. 120 (2001), pp. 3-105
  53. The Alexander duality functors and local duality with monomial support, Journal of Algebra, vol. 231 no. 1 (2000), pp. 180-234 [MR2001k:13028], [pdf]
  54. Icosahedra constructed from congruent triangles, Discrete and Computational Geometry, vol. 24 no. 2-3 (2000), pp. 437-451 (The Branko Grünbaum birthday issue.) [MR2001d:52021]
  55. with Bernd Sturmfels and Kohji Yanagawa, Generic and cogeneric monomial ideals, Journal of Symbolic Computation, vol. 29 no. 4-5 (2000), pp. 691-708 (Symbolic computation in algebra, analysis, and geometry (Berkeley, CA, 1998).) [MR2001m:13051]
  56. with Bernd Sturmfels, Monomial ideals and planar graphs, in Applied algebra, algebraic algorithms and error-correcting codes (Honolulu, HI, 1999), Lecture Notes in Computer Science, edited by M. Fossorier, H. Imai, S. Lin and A. Poli, vol. 1719 (1999), pp. 19-28, Springer, Berlin [MR2002h:13041]
  57. Multiplicities of ideals in Noetherian rings, Beiträge zur Algebra und Geometrie, vol. 39 no. 1 (1998), pp. 47-51 [MR99c:13044]

Minsker, Stanislav

  1. S. Minsker, Estimation of Extreme Values and Associated Level Sets of a Regression Function via Selective Sampling, In Proceedings of the Conference on Learning Theory (COLT 2013) (2013), pp. 105-121 [html]  [abs]
  2. V. Koltchinskii, S. Minsker, L1-Penalization in Functional Linear Regression with Subgaussian Design, Submitted (2013) [8137]  [abs]
  3. S. Minsker, Geometric Median and Robust Estimation in Banach Spaces (2013) [1334]  [abs]
  4. S. Minsker, Non-asymptotic bounds for prediction problems and density estimation, Ph.D. Thesis, Georgia Institute of Technology (May, 2012) [pdf]
  5. S. Minsker, Plug-in Approach to Active Learning, Journal of Machine Learning Research, vol. 13 (January, 2012), pp. 67-90
  6. S. Minsker, On some extensions of Bernstein’s inequality for self-adjoint operators (2012) [5448]
  7. V. Koltchinskii, S. Minsker, Sparse Recovery in Convex Hulls of Infinite Dictionaries, COLT 2010, 23rd Conference on Learning Theory (2010), pp. 420-432

Mitchener, W Garrett

  1. W. G. Mitchener, A Simulation of Language Change in the Presence of Non-Idealized Syntax (June, 2005) (Proceedings of the workshop Psychocomputational Models of Human Language Acquisition, held at the 43rd annual meeting of the Association for Computational Linguistics, June 2005..) [pdf]  [abs]
  2. W. G. Mitchener, A Mathematical Model of the Loss of Verb-Second in Middle English, in Proceedings of the 13th International Conference on English Historical Linguistics (2005)  [abs]
  3. Brian P. Tighe, Joshua E. S. Socolar, David G. Schaeffer, W. G. Mitchener, and Mark Huber, Force distributions in a triangular lattice of rigid bars, Physical Review E (2005)
  4. W.G. Mitchener and Martin A. Nowak, Chaos and Language, Proceedings of the Royal Society: Biological Sciences, vol. 271 no. 1540 (April, 2004), pp. 701--704 [2643]  [abs] [author's comments]
  5. W.G. Mitchener, Bifurcation Analysis of the Fully Symmetric Language Dynamical Equation, Journal of Mathematical Biology, vol. 46 no. 3 (March, 2003), pp. 265--285 [s00285-002-0172-8]  [author's comments]
  6. W.G. Mitchener and Martin A. Nowak, Competitive exclusion and coexistence of universal grammars, Bulletin of Mathematical Biology, vol. 65 no. 1 (January, 2003), pp. 67--93 [0322]  [author's comments]

Moore, Lawrence C

  1. Lawrence C. Moore, Jr. and David A. Smith, The Connected Curriculum Project, The journal of Online Mathematics and its Applications, December 2001 [org]  [abs]
  2. Lawrence C. Moore, Jr. and David A. Smith, The SIR Model for Spread of Disease, The Journal of Online Mathematics and its Applications, December 2001 [org]  [abs]
  3. Lawrence C. Moore, Jr. and David A. Smith, World Population Growth,, The Journal of Online Mathematics and its Applications, December, 2001 [org]  [abs]
  4. Lawrence C. Moore, Jr. and David A. Smith, The Equiangular Spiral, The Journal of Online Mathematics and its Applications, December, 2001 [org]  [abs]
  5. Lawrence C. Moore, Jr. and David A. Smith, Changing Technology Implies Changing Pedagogy, MAA Notes Series , preprint 2002  [abs]
  6. Lawrence C. Moore, David A. Smith, Calculus: Modeling and Application, Multivariable Chapters, final prepublication edition, Houghton Mifflin, 1997
  7. Lawrence C. Moore(with eight others), Student Assesment in Calculus, A Report of the NSF Working Group on Assessment in Calculus, Alan Schoenfeld ed., MAA Notes 43, 1997
  8. William Barker, Lawrence C. Moore, David A. Smith, laboratory manual for Mathematica, D.C. Heath and Co, 1996
  9. Lewis Blake, Lawrence C. Moore, David A. Smith, laboratory manual for HP-48 calculators, D.C. Heath and Co., 1996
  10. Lewis Blake, Lawrence C. Moore, Sam Morris, David Smith, laboratory manual for TI-82 calculators, D.C. Heath and Co., 1996
  11. Phillip Lestman, Lawrence C. Moore, David Smith, laboratory manual for Derive, D.C. Heath and Co., 1996
  12. William Barker, Lawrence C. Moore, Richard Schori, David Smith, laboratory manual for Maple, D.C. Heath and Co., 1996
  13. Lawrence C. Moore, David A. Smith, laboratory manual for Mathcad for Windows, Houghton and Mifflin, 1996
  14. Lawrence C. Moore, Project CALC: Calculus as a Laboratory Course, in Syllabus, October 1996, 50-52
  15. David A. Smith and Lawrence C. Moore, Calculus: Modeling and Application  [abs]
  16. William Barker, Lawrence C. Moore, David A. Smith, The Calculus Reader, Volume III, D.C. Heath and Co, 1993, 1994

Morrison, David R

  1. D. Green, A. Lawrence, J. McGreevy, D. R. Morrison, and E. Silverstein, Dimensional duality (2007) [arXiv:0705.0550 [hep-th]]
  2. M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, D-branes at singularities, compactification, and hypercharge, J. High Energy Phys. 01 (2007) 107 (2007) [hep-th/0610007]
  3. C. Curto and D. R. Morrison, Threefold flops via matrix factorization (November, 2006) [math.AG/0611014]
  4. D. S. Freed, D. R. Morrison, and I. Singer, eds., Quantum Field Theory, Supersymmetry, and Enumerative Geometry, IAS/Park City Mathematics Series, vol. 11 (2006), American Mathematical Society, Providence
  5. D.R. Morrison and K. Narayan, On tachyons, gauged linear sigma models, and flip transitions, J. High Energy Phys. 02 (2005) 062 (2005) [hep-th/0412337]
  6. D. R. Morrison, K. Narayan, and M. R. Plesser, Localized Tachyons in C3/ZN, J. High Energy Phys. 08 (2004) 047 (2004) [hep-th/0406039]
  7. C. H. Clemens and D. R. Morrison, eds., Selected works of Phillip A. Griffiths with commentary: Variations of Hodge structures (2003), American Mathematical Society and International Press, Providence
  8. R. L. Bryant and D. R. Morrison, eds., Selected works of Phillip A. Griffiths with commentary: Differential systems (2003), American Mathematical Society and International Press, Providence
  9. Antonella Grassi and David R. Morrison, Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds, J. Algebraic Geom. 12 (2003) 321-356 [math.AG/0005196]
  10. Philip Candelas, Duiliu-Emanuel Diaconescu, Bogdon Florea, David R. Morrison, and Govindan Rajesh, Codimension-three bundle singularities in F-theory, J. High Energy Phys. 06 (2002) 014 [hep-th/0009228]
  11. David R. Morrison and Savdeep Sethi, Novel type I compactifications, J. High Energy Phys. 01 (2002) 032 [hep-th/0109197]
  12. Jan de Boer, Robbert Dijkgraaf, Kentaro Hori, Arjan Keurentjes, John Morgan, David R. Morrison, and Savdeep Sethi, Triples, fluxes, and strings, Adv. Theor. Math. Phys. 4 (2002) 995-1186 [hep-th/0103170]
  13. David R. Morrison, TASI Lectures on Compactification and Duality, Strings, Branes and Gravity: TASI 99, J. Harvey, S. Kachru and E. Silverstein, eds., World Scientific, 2001, pp. 653-719 [hep-th/0411120]
  14. David R. Morrison, Geometric aspects of mirror symmetry, Mathematics Unlimited -- 2001 and Beyond (B. Enquist and W. Schmid, eds.), Springer-Verlag, 2001, pp. 899-918 [math.AG/0007090]
  15. Paul S. Aspinwall, Sheldon Katz, and David R. Morrison, Lie groups, Calabi-Yau threefolds,and F-theory, Adv. Theor. Math. Phys. 4 (2000), 95-126 [hep-th/0002012]
  16. Pierre Deligne, Pavel Etingof, Daniel S. Freed, Lisa Jeffrey, David Kazhdan, John Morgan, David R. Morrison, and Edward Witten, editors, Quantum Fields and Strings: A Course for Mathematicians, (2 vols.), American Mathematical Society, Providence, 1999
  17. David R. Morrison and M. Ronen Plesser, Non-spherical horizons, I, Adv. Theor. Math. Phys. 3 (1999) 1-81 [hep-th/9810201]
  18. David R. Morrison, The geometry underlying mirror symmetry, New Trends in Algebraic Geometry (K. Hulek, F. Catanese, C. Peters, and M. Reid, eds.), London Math. Soc. Lecture Notes, vol. 264, Cambridge University Press, 1999, pp. 283-310 [alg-geom/9608006]
  19. David R. Morrison, Through the looking glass, Mirror Symmetry III (D. H. Phong, L. Vinet, and S.-T. Yau, eds.), American Mathematical Society and International Press, 1999, pp. 263-277 [alg-geom/9705028]
  20. Brian R. Greene, David R. Morrison, and Joseph Polchinski, String theory, Proc. Nat. Acad. Sci. 95 (1998) 11039-11040
  21. Paul S. Aspinwall and David R. Morrison, Non-simply-connected gauge groups and rational points on elliptic curves, J. High Energy Phys. 07 (1998) 012 [hep-th/9805206]
  22. János Kollár, Robert Lazarsfeld, and David R. Morrison, editors, Algebraic Geometry - Santa Cruz 1995, Proc. Symp. Pure Math., vol. 62, American Mathematical Society, Providence, 1997
  23. Michael R. Douglas, Brian R. Greene, and David R. Morrison, Orbifold resolution by D-branes, Nuclear Phys. B 506 (1997), 84-106 [hep-th/9704151]
  24. Paul S. Aspinwall and David R. Morrison, Point-like instantons on K3 orbifolds, Nuclear Phys. B 503 (1997), 533-564 [hep-th/9705104]
  25. Kenneth Intriligator, David R. Morrison, and Nathan Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nuclear Phys. B 497 (1997), 56-100 [hep-th/9702198]
  26. Ori J. Ganor, David R. Morrison, and Nathan Seiberg, Branes, Calabi-Yau spaces, and toroidal compactification of the N=1 six-dimensional E8theory, Nuclear Phys. B 487 (1997), 93-127 [hep-th/9610251]
  27. David R. Morrison and Nathan Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nuclear Phys. B 483 (1997), 229-247 [hep-th/9609070]
  28. David R. Morrison, Mathematical aspects of mirror symmetry, Complex Algebraic Geometry (J. Kollár, ed.), IAS/Park City Math. Series, vol. 3, 1997, pp. 265-340 [alg-geom/9609021]
  29. Paul S. Aspinwall and David R. Morrison, String theory on K3 surfaces, Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 703-716 [hep-th/9404151]
  30. David R. Morrison, Making enumerative predictions by means of mirror symmetry, Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 457-482 [alg-geom/9504013]
  31. Brian R. Greene, David R. Morrison, and Cumrun Vafa, A geometric realization of confinement, Nuclear Phys. B 481 (1996), 513-538 [hep-th/9608039]
  32. Jacques Distler, Brian R. Greene, and David R. Morrison, Resolving singularities in (0,2) models, Nuclear Phys. B 481 (1996), 289-312 [hep-th/9605222]
  33. Michael Bershadsky, Kenneth Intriligator, Shamit Kachru, David R. Morrison, Vladimir Sadov, and Cumrun Vafa, Geometric singularities and enhanced gauge symmetries, Nuclear Phys. B 481 (1996), 215-252 [hep-th/9605200]
  34. Katrin Becker, Melanie Becker, David R. Morrison, Hirosi Ooguri, Yaron Oz, and Zheng Yin, Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds, Nuclear Phys. B 480 (1996), 225-238 [hep-th/9608116]
  35. Sheldon Katz, David R. Morrison, and M. Ronen Plesser, Enhanced gauge symmetry in type II string theory, Nuclear Phys. B 477 (1996), 105-140 [hep-th/9601108]
  36. David R. Morrison and Cumrun Vafa, Compactifications of F-theory on Calabi-Yau threefolds, II, Nuclear Phys. B 476 (1996), 437-469 [hep-th/9603161]
  37. David R. Morrison and Cumrun Vafa, Compactifications of F-theory on Calabi-Yau threefolds, I, Nuclear Phys. B 473 (1996), 74-92 [hep-th/9602114]
  38. Paul S. Aspinwall and David R. Morrison, Stable singularities in string theory, (with an appendix by Mark Gross), Comm. Math. Phys. 178 (1996), 115-134 [hep-th/9503208]
  39. David R. Morrison and M. Ronen Plesser, Towards mirror symmetry as duality for two-dimensional abelian gauge theories, Trieste Conference on S-Duality and Mirror Symmetry, Nuclear Phys. B Proc. Suppl., vol. 46, 1996, pp. 177-186 [hep-th/9508107]
  40. David R. Morrison, Mirror symmetry and the type II string, Trieste Conference on S-Duality and Mirror Symmetry, Nuclear Phys. B Proc. Suppl., vol. 46, 1996, pp. 146-155 [hep-th/9512016]
  41. David R. Morrison, Beyond the Kähler cone, Proc. of the Hirzebruch 65 Conference on Algebraic Geometry (M. Teicher, ed.), Israel Math. Conf. Proc., vol. 9, Bar-Ilan University, 1996, pp. 361-376 [alg-geom/9407007]
  42. David R. Morrison, Mirror symmetry and moduli spaces of superconformal field theories, Proc. Internat. Congr. Math. Zürich 1994 (S. D. Chatterji, ed.), vol. 2, Birkhäuser Verlag, Basel, Boston, Berlin, 1995, pp. 1304-1314 [alg-geom/9411019]
  43. Brian R. Greene, David R. Morrison, and M. Ronen Plesser, Mirror manifolds in higher dimension, Comm. Math. Phys. 173 (1995), 559-598 [hep-th/9402119]
  44. Brian R. Greene, David R. Morrison, and Andrew Strominger, Black hole condensation and the unification of string vacua, Nuclear Phys. B 451 (1995), 109-120 [hep-th/9504145]
  45. Paul S. Aspinwall and David R. Morrison, U-duality and integral structures, Phys. Lett. B 355 (1995), 141-149 [hep-th/9505025]
  46. David R. Morrison, Where is the large radius limit?, Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World Scientific, Singapore, 1995, pp. 311-315 [hep-th/9311049]
  47. Paul S. Aspinwall, Brian R. Greene, and David R. Morrison, Spacetime topology change: The physics of Calabi-Yau moduli space, Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World Scientific, Singapore, 1995, pp. 241-262 [hep-th/9311186]
  48. David R. Morrison and M. Ronen Plesser, Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties, Nuclear Phys. B 440 (1995), 279-354 [hep-th/9412236]
  49. Philip Candelas, Anamaría Font, Sheldon Katz, and David R. Morrison, Mirror symmetry for two parameter models, II, Nuclear Phys. B 429 (1994), 626-674 [hep-th/9403187]
  50. David R. Morrison, Space-time topology change and stringy geometry, J. Math. Phys. 35 (1994), 5321-5337 [dvi]
  51. Paul S. Aspinwall and David R. Morrison, Chiral rings do not suffice: N=(2,2) theories with nonzero fundamental group, Phys. Lett. B 334 (1994), 79-86 [hep-th/9406032]
  52. Paul S. Aspinwall, Brian R. Greene, and David R. Morrison, Measuring small distances in N=2 sigma models, Nuclear Phys. B 420 (1994), 184-242 [hep-th/9311042]
  53. Bruce Crauder and David R. Morrison, Minimal models and degenerations of surfaces with Kodaira number zero, Trans. Amer. Math. Soc. 343 (1994), 525-558 [dvi]
  54. Philip Candelas, Xenia de la Ossa, Anamaría Font, Sheldon Katz, and David R. Morrison, Mirror symmetry for two parameter models, I, Nuclear Phys. B 416 (1994), 481-562 [hep-th/9308083]
  55. Paul S. Aspinwall, Brian R. Greene, and David R. Morrison, Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nuclear Phys. B 416 (1994), 414-480 [hep-th/9309097]
  56. Bruce W. Jordan and David R. Morrison, On the Néron models of abelian surfaces with quaternionic multiplication, J. Reine Angew. Math. 447 (1994), 1-22 [dvi]
  57. David R. Morrison, Compactifications of moduli spaces inspired by mirror symmetry, Journées de Géométrie Algébrique d'Orsay (Juillet 1992), Astérisque, vol. 218, Société Mathématique de France, 1993, pp. 243-271 [alg-geom/9304007]
  58. Paul S. Aspinwall, Brian R. Greene, and David R. Morrison, The monomial-divisor mirror map, Internat. Math. Res. Notices (1993), 319-337 [alg-geom/9309007]
  59. Antonella Grassi and David R. Morrison, Automorphisms and the Kähler cone of certain Calabi-Yau manifolds, Duke Math. J. 71 (1993), 831-838 [alg-geom/9212004]
  60. Paul S. Aspinwall, Brian R. Greene, and David R. Morrison, Multiple mirror manifolds and topology change in string theory, Phys. Lett. B 303 (1993), 249-259 [hep-th/9301043]
  61. Paul S. Aspinwall and David R. Morrison, Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245-262 [hep-th/9110048]
  62. David R. Morrison, Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, J. Amer. Math. Soc. 6 (1993), 223-247 [alg-geom/9202004]
  63. David R. Morrison, Complements on log surfaces, Flips and Abundance for Algebraic Threefolds (J. Kollár, ed.), Astérisque, vol. 211, Société Mathématique de France, 1992, pp. 207-214 [dvi]
  64. Sheldon Katz and David R. Morrison, Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups, J. Algebraic Geom. 1 (1992), 449-530, (accompanying maple source file) [alg-geom/9202002]
  65. David R. Morrison, Picard-Fuchs equations and mirror maps for hypersurfaces, Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong, 1992, pp. 241-264 [alg-geom/9202026]
  66. James A. Carlson, C. Herbert Clemens, and David R. Morrison, editors, Complex Geometry and Lie Theory, Proc. Symp. Pure Math., vol. 53, American Mathematical Society, Providence, 1991
  67. Ron Donagi and David R. Morrison, Linear systems on K3-sections, J. Differential Geom. 29 (1989), 49-64
  68. David R. Morrison, On the moduli of Todorov surfaces, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata (H. Hijikata et al., eds.), vol. 1, Kinokuniya, Tokyo, 1988, pp. 313-355
  69. Shigefumi Mori, David R. Morrison, and Ian Morrison, On four-dimensional terminal quotient singularities, Math. Comp. 51 (1988), 769-786
  70. David R. Morrison, Isogenies between algebraic surfaces with geometric genus one, Tokyo J. Math. 10 (1987), 179-187
  71. David R. Morrison and Masa-Hiko Saito, Cremona transformations and degrees of period maps for K3 surfaces with ordinary double points, Algebraic Geometry, Sendai 1985 (T. Oda, ed.), Adv. Studies in Pure Math., vol. 10, North-Holland, Amsterdam, New York, Oxford, and Kinokuniya, Tokyo, 1987, pp. 477-513
  72. David R. Morrison, A remark on Kawamata's paper `On the plurigenera of minimal algebraic 3-folds with K \equiv 0', Math. Ann. 275 (1986), 547-553
  73. Rick Miranda and David R. Morrison, The number of embeddings of integral quadratic forms, II, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), 29-32
  74. Rick Miranda and David R. Morrison, The number of embeddings of integral quadratic forms, I, Proc. Japan Acad. Ser. A Math. Sci. 61 (1985), 317-320
  75. David R. Morrison, The birational geometry of surfaces with rational double points, Math. Ann. 271 (1985), 415-438; Erratum
  76. David R. Morrison, Canonical quotient singularities in dimension three, Proc. Amer. Math. Soc. 93 (1985), 393-396
  77. David R. Morrison, The Kuga-Satake variety of an abelian surface, J. Algebra 92 (1985), 454-476
  78. David R. Morrison, Algebraic cycles on products of surfaces, Proc. Algebraic Geometry Symposium, Tôhoku University, 1984, pp. 194-210
  79. David R. Morrison, The Clemens-Schmid exact sequence and applications, Topics in Transcendental Algebraic Geometry (P. Griffiths, ed.), Annals of Math. Studies, vol. 106, Princeton University Press, Princeton, 1984, pp. 101-119
  80. David R. Morrison, On K3 surfaces with large Picard number, Invent. Math. 75 (1984), 105-121
  81. David R. Morrison and Glenn Stevens, Terminal quotient singularities in dimensions three and four, Proc. Amer. Math. Soc. 90 (1984), 15-20
  82. Robert Friedman and David R. Morrison, editors, The Birational Geometry of Degenerations, Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983
  83. David R. Morrison, Some remarks on the moduli of K3 surfaces, Classification of Algebraic and Analytic Manifolds (K. Ueno, ed.), Progress in Math., vol. 39, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 303-332
  84. Bruce Crauder and David R. Morrison, Triple-point-free degenerations of surfaces with Kodaira number zero, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 353-386
  85. Rick Miranda and David R. Morrison, The minus one theorem, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 173-259
  86. Robert Friedman and David R. Morrison, The birational geometry of degenerations: An overview, The Birational Geometry of Degenerations (R. Friedman and D. R. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 1-32
  87. David R. Morrison, Semistable degenerations of Enriques' and hyperelliptic surfaces, Duke Math. J. 48 (1981), 197-249
  88. David R. Morrison, A Stolarsky array of Wythoff pairs, A Collection of Manuscripts Related to the Fibonacci Sequence (V. E. Hoggatt Jr. and M. Bicknell-Johnson, eds.), The Fibonacci Association, Santa Clara, 1980, pp. 134-136

Moss, Robert

  1. R. Moss and S. R. Thomas, Hormonal regulation of salt and water excretion: a mathematical model of whole-kidney function and pressure-natriuresis, AJP Renal Physiol (2013) [2013], [doi]  [abs] [author's comments]
  2. R. Moss, T. Grosse, I. Marchant, N. Lassau, F. Gueyffier, S. R. Thomas, Virtual patients and sensitivity analysis of the Guyton model of blood pressure regulation: towards individualized models of whole-body physiology, PLoS Comp Biol, vol. 8 no. 6 (June, 2012), pp. e1002571 [journal.pcbi.1002571], [doi]  [abs]
  3. K. J. Bolton, J. M. McCaw, R. Moss, R. S. Morris, S. Wang, A. Burma, B. Darma, D. Narangerel, P. Nymadawa, J. McVernon, Likely effectiveness of pharmaceutical and non-pharmaceutical interventions for mitigating influenza virus transmission in Mongolia, Bull WHO, vol. 90 no. 4 (April, 2012), pp. 264-271 [html], [doi]  [abs]
  4. A. I. Hernández, V. Le Rolle, D. Ojeda, P. Baconnier, J. Fontecave-Jallon, F. Guillaud, T. Grosse, R. Moss, P. Hannaert, S. R. Thomas, Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Prog Biophys Mol Biol, vol. 107 no. 1 (October, 2011), pp. 169-182 [008], [doi]  [abs]
  5. J. M. McCaw, R. Moss, J. McVernon, A decision support tool for evaluating the impact of a diagnostic-capacity and antiviral-delivery constrained intervention strategy on an influenza pandemic, Options for the Control of Influenza VII, 3–7 Sep 2010, Influenza Other Respi Viruses, vol. 5 no. Suppl 1 (May, 2011), pp. 212–215 [x], [doi]  [abs]
  6. R. Moss, J. M. McCaw, J. McVernon, Diagnosis and antiviral intervention strategies for mitigating an influenza pandemic, PLoS ONE, vol. 6 no. 2 (February, 2011), pp. e14505 [journal.pone.0014505], [doi]  [abs]
  7. R. Moss, E. Kazmierczak, M. Kirley, P. J. Harris, Discrete network models of interacting nephrons, Physica D, vol. 238 no. 22 (November, 2009), pp. 2166-2176 [015], [doi]  [abs]
  8. R. Moss, E. Kazmierczak, M. Kirley, P. J. Harris, A computational model for emergent dynamics in the kidney, Phil Trans R Soc A, vol. 367 no. 1896 (June, 2009), pp. 2125-2140 [0313], [doi]  [abs]
  9. P. J. Harris, R. Buyya, X. Chu, T. Kobialka, E. Kazmierczak, R. Moss, W. Appelbe, P. J. Hunter, S. R. Thomas, The Virtual Kidney: an e-Science interface and Grid Portal, Phil Trans R Soc A, vol. 367 no. 1896 (June, 2009), pp. 2159 [0291], [doi]  [abs]

Mukherjee, Sayan

  1. Bonnefoi H, Potti A, Delorenzi M, Mauriac L, Campone M, Tubiana-Hulin M, Petit T, Rouanet P, Jassem J, Blot E, Becette V, Farmer P, André S, Acharya CR, Mukherjee S, Cameron D, Bergh J, Nevins JR, Iggo RD., Validation of gene signatures that predict the response of breast cancer to neoadjuvant chemotherapy: a substudy of the EORTC 10994/BIG 00-01 clinical trial., Lancet Oncology, vol. 8 no. 12 (December, 2007), pp. 1071-1078 [entrez]
  2. F. Liang, S. Mukherjee, M. West, Understanding the use of unlabelled data in predictive modelling, Statistical Science, vol. 22 no. 2 (Fall, 2007), pp. 189-205
  3. Jen-Tsan Chi1, Edwin H. Rodriguez, Zhen Wang, Dimitry S. A. Nuyten, Sayan Mukherjee, Matt van de Rijn, Marc J. van de Vijver, Trevor Hastie, Patrick O. Brown, Gene Expression Programs of Human Smooth Muscle Cells: Tissue-Specific Differentiation and Prognostic Significance in Breast Cancers, PLoS Genet, vol. 3 no. 9 (September, 2007), pp. 1770-1784 [pdf]
  4. Natesh Pillai, Qiang Wu, Feng Liang, Sayan Mukherjee, Robert L. Wolpert, Characterizing the function space for Bayesian kernel models, Journal of Machine Learning Research, vol. 8 (August, 2007), pp. 1769--1797 [html]  [abs]
  5. Liang Goh, Susan K. Murphy, Sayan Muhkerjee, and Terrence S. Furey, Genomic sweeping for hypermethylated genes, Bioinformatics, vol. 23 no. 3 (February, 2007), pp. 281-288 [btl620v1]
  6. Q. Wu, S. Mukherjee, F. Liang, Regularized sliced inverse regression for kernel models., Biometrika (2007) [html]
  7. E. Edelman, J. Guinney, J-T. Chi, P.G. Febbo, and S. Mukherjee, Modeling Cancer Progression via Pathway Dependencies, Public Library of Science Computational Biology (2007) [html]
  8. F. Liang, K. Mao, M. Liao, S. Mukherjee and M. West, Non-parametric Bayesian kernel models, Biometrika (2007) [html]
  9. J. Guinney, Q. Wu, and S. Mukherjee, Estimating variable structure and dependence in Multi-task learning via gradients, Journal of Machine Learning Research (2007) [html]
  10. Q. Wu, J. Guinney, M. Maggioni, and S. Mukherjee, Learning gradients: predictive models that infer geometry and dependence, Journal of Machine Learning Research (2007) [html]
  11. S. Mukherjee, Q. Wu, D-X. Zhou, Learning Gradients and Feature Selection on Manifolds, Annals of Statistics (2007) [html]
  12. Zhong Wang, Huntington F. Willard, Sayan Mukherjee, Terrence S. Furey, Evidence of Influence of Genomic DNA Sequence on Human X Chromosome Inactivation, Public Library of Science Computational Biology, vol. 2 no. 9 (Winter, 2006), pp. 979-988 [available here]
  13. S. Mukherjee and Q. Wu, Estimation of Gradients and Coordinate Covariation in Classification, Journal of Machine Learning Research, vol. 7 (November, 2006), pp. 2481--2514 [html]
  14. S. Mukherjee, DX. Zhou, Learning Coordinate Covariances via Gradients, Journal of Machine Learning Research, vol. 7 (March, 2006), pp. 519-549 [html]
  15. Elena Edelman, Alessandro Porrello, Justin Guinney, BalaBalakumaran, Andrea Bild, Phillip G. Febbo, and Sayan Mukherjee, Analysis of Sample Set Enrichment Scores: assaying the enrichment of sets of genes for individual samples in genome-wide expression profiles, Bioinformatics, vol. 22 no. 14 (2006), pp. e101-e116 [e108]
  16. Daniela Tropea, Gabriel Kreiman, Alvin Lyckman, Sayan Mukherjee, Hongbo Yu, Sam Horng and Mriganka Sur, Gene expression changes and molecular pathways mediating activity-dependent plasticity in visual cortex, Nature Neuroscience, vol. 9 (2006), pp. 660-668 [html]
  17. A. Potti, S. Mukherjee, R. Petersen, HK. Dressman, A. Bild, J. Koontz, R. Kratzke, MA. Watson, M. Kelley, A Genomic Strategy to Refine Prognosis in Early Stage Non-Small Cell Lung Carcinoma, New England Journal of Medicine, vol. 355 no. 6 (2006), pp. 570-580 [pdf]
  18. A. Subramanian, P. Tamayo, VK. Mootha, S. Mukherjee, BL. Ebert, MA. Gillette, A. Paulovich, SL. Pomeroy, TR. Golub, ES. Lander, JP. Mesirov, Gene set enrichment analysis: a knowledge-based approach for interpreting genome-wide expression profiles, PNAS, vol. 102 no. 43 (October, 2005), pp. 15278-9 [15545]
  19. A. Rakhlin, D. Panchenko, S. Mukherjee, Risk Bounds for Mixture Density Estimation, ESAIM: Probability and Statistics, vol. 9 (June, 2005), pp. 220-229
  20. Sweet-Cordero, A., Mukherjee, S., You, H., Subramnian, S., Ladd, C., Roix, J., Mesirov, J.P., Golub, T.R., Jacks, T, An oncogenic KRAS2 expression signature identified by cross-species gene-expression analysis, Nature Genetics, vol. 37 no. 1 (January, 2005), pp. 48-55 [html]
  21. A. Rakhlin, S. Mukherjee, T. Poggio, Stability Results In Learning Theory, Analysis and Applications, vol. 3 no. 4 (2005), pp. 397–417 [html]
  22. P. Golland, F. Liang, S. Mukherjee, D. Panchenko, Permutation Tests for Classification, in Proceedings of Computational Learning Theory 2005, edited by P. Auer and R. Meir (2005), pp. 501-515, Springer-Verlag
  23. S. Mukherjee, P. Niyogi, T. Poggio, R. Rifkin, Statistical Learning: Stability is Sufficient for Generalization and Necessary and Sufficient for Consistency of Empirical Risk Minimization, Advances in Computational Mathematics, vol. 25 no. 1-3 (2005), pp. 161 - 193 [contribution.asp]
  24. R. Berger, PG. Febbo, PK. Majumder, JJ. Zhao, S. Mukherjee, T Campbell, WR. Sellers, TM. Roberts, M. Loda, TR. Golub, WC. Hahan, Androgen-Induced Differentiation and Tumorigenicity of Human Prostate Epithelial Cells, Cancer Research, vol. 64 (December, 2004), pp. 8867-8875 [8867]
  25. T. Poggio, R. Rifkin, S. Mukherjee, P. Niyogi, Learning Theory: general conditions for predictivity, Nature, vol. 428 (March, 2004), pp. 419-422 [html]
  26. R. Rifkin, S. Mukherjee, P. Tamayo, S. Ramaswamy, CH. Yeang, M. Reich, T. Poggio, ES. Lander, TR. Golub, JP. Mesirov, An Analytical Method for Multi-Class Cancer Classification, SIAM Reviews, vol. 45 no. 4 (Winter, 2003), pp. 706-723 [html]
  27. S. Mukherjee, P. Tamayo , S. Rogers, R. Rifkin, A. Engle, C. Campbell, TR. Golub, JP. Mesirov, Estimating Dataset Size Requirements for Classifying DNA Microarray Data, Journal of Computational Biology, vol. 10 no. 2 (April, 2003), pp. 119-142 [10.1089%2F106652703321825928]
  28. LD. Miller, PM. Long,L. Wong, S. Mukherjee, LM. McShane, ET. Liu, Optimal gene expression analysis by microarrays, Cancer Cell, vol. 2 (November, 2002), pp. 353-361 [abstract]
  29. S. Pomeroy, P. Tamayo, M. Gaasenbeek, L. Sturla, M. Angelo, M. McLaughlin, J. Kim, L. Goumnerova, P. Black, C. Lau, J. Allen, D. Zigzag, J. Olson, T. Curran, C. Wetmore, J. Biegel, T. Poggio, S. Mukherjee, R. Rifkin, A. Califano, G. Stolovitzky, D. Louis, Prediction of central nervous system embryonal tumour outcome based of gene expression, Nature, vol. 415 no. 24 (January, 2002), pp. 436-442 [html]
  30. S. Ramaswamy, P. Tamayo, R. Rifkin, S. Mukherjee, CH Yeang, M. Angelo, C. Ladd, M. Reich, E. Latulippe, JP. Mesirov, T. Poggio, W. Gerald, M. Loda,, ES. Lander, TR. Golub, Multiclass cancer diagnosis using tumor gene expression signatures, PNAS, vol. 98 no. 26 (December, 2001), pp. 15149-15154 [15149]
  31. O. Chapelle, V. Vapnik, O. Bousquet, S. Mukherjee, Choosing Multiple Parameters for Support Vector Machines, Machine Learning, vol. 46 no. 1-3 (March, 2001), pp. 131-159 [contribution.asp]
  32. J. Weston, S. Mukherjee, O. Chapelle, M. Pontil, T. Poggio, V. Vapnik, Feature Selection for SVMs, in Proceedings of Advances in Neural Information Processing Systems, vol. 14 (2001), pp. 668-674
  33. CH Yeang, S. Ramaswamy, P. Tamayo, S. Mukherjee, R. Rifkin, M. Angelo, M. Reich, E. Lander, J. Mesirov, T. Golub, Molecular classification of multiple tumor types, Bioinformatics, vol. 1 no. 1 (2001), pp. 1-7 [S316]
  34. M. Pontil, S. Mukherjee, F. Girosi, On the Noise Model of Support Vector MachinesRegression, in Proceedings of Algorithmic Learning Theory 11th Conference (2000), pp. 316--324, Springer, Berlin
  35. V. Vapnik, S. Mukherjee, Support vector method for multivariate density estimation, in Proceedings of Advances in Neural Information Processing Systems, edited by S. A. Solla, T. K. Leen, and K.R. Muller, vol. 12 (2000), pp. 659--665

Nelson, Patrick

  1. Patrick Nelson, James D. Murray and Alan S. Perelson, Analysis of a delay model used to study HIV pathogenesis, Mathematical Biosciences, V163/2 (2000), pgs 201-215
  2. Nelson, P.W. , Mittler, J. and Perelson, A.S., Effect of the eclipse phase of the viral life cycle on estimation of HIV viral dynamic parameters , submitted 1999
  3. Alan S. Perelson and Patrick Nelson, Mathematical Analysis of HIV Dynamics in vivo, Siam Review, vol. 41(1), (1999), pp. 3-43
  4. Kwan Gett, T., Nelson, P., and Hughes, J., Predicting the effect of judicious antibiotic use on drug-resistant Streptococcus Pneunomiae colonization amoung children in day-care, Emerging Infectious Diseases , submitted 1999

Ng, Lenhard L

  1. L. Ng, A topological introduction to knot contact homology, in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz (2014), ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi]
  2. T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold (2013) [arXiv:1307.8436]
  3. L. Ng and D. Rutherford, Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra, Algebraic & Geometric Topology, vol. 13 no. 5 (2013), pp. 3047–3097 [arXiv:1206.2259], [doi]
  4. W. Chongchitmate and L. Ng, An atlas of Legendrian knots, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [arXiv:1010.3997], [doi]
  5. J. Etnyre, L. Ng, and V. Vertesi, Legendrian and transverse twist knots, Journal of the European Mathematical Society, vol. 15 no. 3 (2013), pp. 451-512 [arXiv:1002.2400], [doi]
  6. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Filtrations on the knot contact homology of transverse knots, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1691 [arXiv:1010.0450], [doi]
  7. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Knot contact homology, Geometry & Topology, vol. 17 (2013), pp. 975-1112 [arXiv:1109.1542], [doi]
  8. M. Aganagic, T. Ekholm, L. Ng, and C. Vafa, Topological strings, D-model, and knot contact homology (2013) [arXiv:1304.5778]
  9. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology, Quantum Topology (2013/03/26) [arXiv:1303.6371]
  10. L. Ng, On arc index and maximal Thurston-Bennequin number, Journal of Knot Theory and Its Ramifications, vol. 21 no. 4 (2012) [arXiv:math/0612356], [doi]
  11. L. Ng, Combinatorial knot contact homology and transverse knots, Advances in Mathematics, vol. 227 no. 6 (2011), pp. 2189-2219 [arXiv:1010.0451], [doi]
  12. T. Khandhawit and L. Ng, A family of transversely nonsimple knots, Algebraic and Geometric Topology, vol. 10 no. 1 (2010), pp. 293-314 [arXiv:0806.1887], [doi]
  13. L. Ng, Rational Symplectic Field Theory for Legendrian knots, Inventiones mathematicae, vol. 182 no. 3 (2010), pp. 451-512 [arXiv:0806.4598], [doi]
  14. L. Ng and D. Thurston, Grid diagrams, braids, and contact geometry, in Proceedings of Gökova Geometry-Topology Conference 2008 (2009), pp. 120-136 (refereed proceedings.) [arXiv:0812.3665]
  15. L. Ng, Framed knot contact homology, Duke Mathematical Journal, vol. 141 no. 2 (2008), pp. 365-406 [math.GT/0407071], [doi]
  16. L. Ng, A skein approach to Bennequin type inequalities, International Mathematics Research Notices, vol. 2008 (2008) (Art. ID rnn116, 18 pp.) [0709.2141], [doi]
  17. L. Ng, P. Ozsvath, and D. Thurston, Transverse knots distinguished by knot Floer homology, Journal of Symplectic Geometry, vol. 6 no. 4 (2008), pp. 461-490 [math.GT/0703446]
  18. L. Ng, Conormal bundles, contact homology, and knot invariants, in The interaction of finite type and Gromov–Witten invariants at the Banff International Research Station (2003), Geometry & Topology Monographs, vol. 8 (2006), pp. 129-144 [math.GT/0412330], [doi]
  19. L. Ng and J. Sabloff, The correspondence between augmentations and rulings for Legendrian knots, Pacific J. Math., vol. 224 no. 1 (2006), pp. 141-150 [math.SG/0503168], [doi]
  20. L. Ng, Plane curves and contact geometry, in Proceedings of 12th Gokova Geometry–Topology Conference (2006), pp. 162-171 [math.GT/0503162]
  21. L. Ng, A Legendrian Thurston–Bennequin bound from Khovanov homology, Algebraic & Geometric Topology, vol. 5 (2005), pp. 1637-1653 [math.GT/0508649], [doi]
  22. L. Ng and L. Traynor, Legendrian solid-torus links, Journal of Symplectic Geometry, vol. 2 no. 3 (2005), pp. 411-443 [math.SG/0407068]
  23. L. Ng, Knot and braid invariants from contact homology II, Geom. Topol., vol. 9 (2005), pp. 1603-1637 [math.GT/0303343], [doi]
  24. L. Ng, Knot and braid invariants from contact homology I, Geom. Topol., vol. 9 (2005), pp. 247-297 [math.GT/0302099], [doi]
  25. J. Etnyre and L. Ng, Problems in low dimensional contact geometry, in Topology and Geometry of Manifolds, Proc. Sympos. Pure Math., vol. 71 (2003), pp. 337–357
  26. L. Ng, Computable Legendrian invariants, Topology, vol. 42 no. 1 (2003), pp. 55-82 [math.GT/0011265], [doi]
  27. J. Etnyre, L. Ng, and J. Sabloff, Invariants of Legendrian links and coherent orientations, J. Symplectic Geom., vol. 1 no. 2 (2002), pp. 321–367 [math.SG/0101145]
  28. L. Ng, Maximal Thurston–Bennequin number of two-bridge links, Algebr. Geom. Topol., vol. 1 (2001), pp. 427-434 [math.GT/0008242], [doi]
  29. K. Kedlaya and L. Ng, The rook on the half-chessboard, or how not to diagonalize a matrix, Amer. Math. Monthly, vol. 105 no. 9 (1998), pp. 819–824
  30. L. Ng, Hamiltonian decomposition of lexicographic products of digraphs, J. Combin. Theory Ser. B 73 no. 2 (1998), pp. 119–129 [doi]
  31. L. Ng, Hamiltonian decomposition of complete regular multipartite digraphs, Discrete Math., vol. 177 no. 1-3 (1997), pp. 279-285 [doi]
  32. L. Ng & M. Schultz, k-ordered hamiltonian graphs, J. Graph Theory, vol. 24 no. 1 (1997), pp. 45-57 [doi]

Nieves-Gonzalez, Aniel

  1. Mariano Marcano, Hun-Mo Yang, Aniel Nieves-Gonzalez, Chris Clausen, and Leon C. Moore., Parameter estimation for mathematical models of NKCC2 cotransporter isoforms., Am J Physiol Renal Physiol, vol. 296 (2009), pp. F369-F381

Nolen, James

  1. J. Lu and J. Nolen, Reactive trajectories and the transition path process., Probability Theory and Related Fields (January, 2014) [1744], [doi]
  2. J. Nolen, Normal approximation for a random elliptic equation, Probability Theory and Related Fields, vol. 159 no. 3 (2014), pp. 661-700 [pdf], [doi]
  3. J. Nolen, J.-M. Roqujoffre, L. Ryzhik, Power-like delay in time inhomogeneous Fisher-KPP equations, Communications in Partial Differential Equations (2014) [pdf]
  4. J. Nolen, Normal approximation for the net flux through a random conductor (2014) [2186]
  5. F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik, A short proof of the logarithmic Bramson correction in Fisher-KPP equations, Networks and Heterogeneous Media, vol. 8 no. 1 (2013), pp. 275-289 [pdf], [doi]
  6. T. Hotz, S. Huckemann, H. Le, J. Marron, J. Mattingly, E. Miller, J. Nolen, M. Owen, V. Patrangenaru, S. Skwere, Sticky central limit theorem on open books, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [4267], [doi]
  7. S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs (2013) [6551]
  8. F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik, The logarithmic delay of KPP fronts in a periodic medium (2012) [6173]
  9. A. Mellet and J. Nolen, Capillary drops on a rough surface, Interfaces and Free Boundaries, vol. 14 (2012), pp. 167-184 [doi]
  10. J. Nolen, G. Pavliotis, A. Stuart, Multiscale modeling and inverse problems, in Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, edited by I.G. Graham, T.Y. Hou, O. Lakkis and R. Scheichl (2012), Springer [2943]
  11. J. Nolen, J.-M. Roquejoffre, L. Ryzhik, A. Zlatos, Existence and non-existence of Fisher-KPP transition fronts, Archive for Rational Mechanics and Analysis, vol. 203 no. 1 (2012), pp. 217-246 [2392], [doi]
  12. I. Matic and J. Nolen, A sublinear variance bound for solutions of a random Hamilton-Jacobi equation, Journal of Statistical Physics, vol. 149 no. 2 (2012), pp. 342-361 [pdf], [doi]
  13. J. Nolen, An invariance principle for random traveling waves in one dimension, SIAM Journal on Mathematical Analysis, vol. 43 no. 1 (2011), pp. 153-188 [pdf], [doi]
  14. P. Cardaliaguet, J. Nolen, P.E. Souganidis, Homogenization and enhancement for the G-equation, Archive for Rational Mechanics and Analysis, vol. 199 no. 2 (2011), pp. 527-561 [4160]
  15. J. Nolen and A. Novikov, Homogenization of the G-equation with incompressible random drift in two dimensions, Communications in Mathematical Sciences, vol. 9 no. 2 (2011), pp. 561-582 [pdf]
  16. J. Nolen, A central limit theorem for pulled fronts in a random medium, Networks and Heterogeneous Media, vol. 6 no. 2 (2011), pp. 167-194 [pdf], [doi]
  17. J. Nolen, J. Xin, and Y. Yu, Bounds on front speeds for inviscid and viscous G-equations, Methods and Applications of Analysis, vol. 16 no. 4 (December, 2009) [pdf]
  18. J. Nolen and J. Xin, Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows, Annales de l'institut Henri Poincare -- Analyse Non Lineaire, vol. 26 no. 3 (2009), pp. 815-839 [pdf]
  19. J. Nolen and L. Ryzhik, Traveling waves in a one-dimensional heterogeneous medium, Annales de l'institut Henri Poincare -- Analyse Non Lineaire, vol. 26 no. 3 (2009), pp. 1021-1047 [pdf]
  20. J. Nolen and G. Papanicolaou, Fine scale uncertainty in parameter estimation for elliptic equations, Inverse Problems, vol. 25 no. 11 (2009) [pdf], [doi]
  21. J. Nolen and J. Xin, KPP Fronts in 1D Random Drift, Discrete and Continuous Dynamical Systems B, vol. 11 no. 2 (2009) [pdf]
  22. A. Mellet, J. Nolen, J.-M. Roquejoffre, and L. Ryzhik, Stability of generalized transition fronts, Comm. PDE, vol. 34 no. 6 (2009), pp. 521-552 [pdf]
  23. J. Nolen and J. Xin, Variational principle and reaction-diffusion front speeds in random flows, ICIAM07-Proceedings (December, 2008), pp. 1040701-1040702
  24. J. Nolen, G. Papanicolaou, O. Pironneau, A Framework for Adaptive Multiscale Methods for Elliptic Problems, SIAM Multiscale Modeling and Simulation, vol. 7 (2008), pp. 171-196, SIAM [pdf]
  25. J. Nolen and J. Xin, Computing reactive front speeds in random flows by variational principle, Physica D, vol. 237 (2008), pp. 3172-3177 [024]
  26. J. Nolen and J. Xin, Variational Principle of KPP Front Speeds in Temporally Random Shear Flows with Applications, Communications in Mathematical Physics, vol. 269 (2007), pp. 493-532 [pdf]
  27. J. Nolen and J. Xin, A Variational Principle Based Study of KPP Minimal Front Speeds in Random Shears, Nonlinearity, vol. 18 (2005), pp. 1655-1675 [4]
  28. J. Nolen and J. Xin, Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle, Discrete and Continuous Dynamical Systems, vol. 13 no. 5 (2005), pp. 1217-1234 [pdf]
  29. J. Nolen, M. Rudd, and J. Xin, Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds, Dynamics of PDE, vol. 2 (2005), pp. 1-24 [pdf]
  30. D.M. Boye, T.S. Valdes, J.H. Nolen, A.J. Silversmith, K.S. Brewer, R.E. Anderman, R.S. Meltzer, Transient and persistent spectral hole burning in Eu-doped sol-gel produced SiO2 glass, Journal of Luminescence, vol. 108 (June, 2004), pp. 43-47 [008]
  31. J. Nolen and J. Xin, Min-Max Variational Principles and Fronts Speeds in Random Shear Flows, Methods and Applications of Analysis, vol. 11 no. 4 (2004), pp. 635-644 [pdf]
  32. D.M. Boye, A.J. Silversmith, J. Nolen, L. Rumney, D. Shaye, B.C. Smith, and K.S. Brewer, Red-to-green up-conversion in Er-doped SiO2 and SiO2-TiO2 sol-gel silicate glasses, Journal of Luminescence, vol. 94-95 (December, 2001), pp. 279-282 [S0022-2313(01)00301-5]

Pardon, William L

  1. Mark Goresky, William L. Pardon, Chern classes of modular varieties, Inventiones Math., v. 147 (2002), 561-612  [abs]
  2. William Pardon, Mark Stern, Pure Hodge Structure on the L2-cohomology of Varieties with Isolated Singularities, Journal fur die Reine und Angewandte Mathematik, v. 533 (2001), 55-80 [available here]
  3. William Pardon, The filtered Gersten-Witt resolution for regular schemes , preprint 2000 [http://www.math.uiuc.edu/K-theory/0419/index.html], [available here]
  4. William L. Pardon, Mark Stern, L2 -- a cohomology of Complex Projective Varieties, Journal of AMS, 4, 1991, pp. 603-621
  5. William L. Pardon, Intersection Homology Poincare Spaces and the Characteristic Variety Theorem, Comm. Math. Helv., 65, 1990, pp. 198-223
  6. William L. Pardon, M. Goresky, Wu Numbers for Singular Spaces, Topology, 28, 1989, pp. 325-367
  7. William L. Pardon, The L2 -d-bar -cohomology of an Algebraic Surface, Topology, 28, 1989, pp. 171-195
  8. J. Fox, P. Haskell, William L. Pardon, Two Themes in Index Theory on Singular Varieties, Proc. Summer Inst. on K-Theory and Operator Algebras, 1988
  9. M. Goresky, William L. Pardon, Cobordism of Singular Spaces, Journees de Geometrie, Publications IRMA de l'U. de Lille, 1986 (summary of [15]
  10. William L. Pardon, The Exact Sequence of a Localization for Witt Groups II: Numerical Invariants of Odd-Dimensional Surgery Obstructions, Pacific Journal of Mathematics, 102, 1982, pp. 123-170
  11. W.C. Hsiang, William L. Pardon, When Are Topologically Equivalent Orthogonal Transformations Linearly Equivalent?, Inventiones, Math., 68, 1982, pp. 275-316
  12. William L. Pardon, Zero-Cycles and Witt Groups, Proceedings of the Conference on Algebraic K-Theory, Bielefeld, 1982, Springer Lecture Notes in Mathematics, No. 1046, pp. 261-328
  13. William L. Pardon, Mod 2 Semicharacteristics and the Converse to a Theorem of Milnor, Mathematische Zeitschrift, 171, 1980, pp. 247-268
  14. William L. Pardon, A Gersten Conjecture for Witt Groups, Proceedings of the Conference on Algebraic K-Theory, Oberwolfach, 1980, Springer Lecture Notes in Mathematics, No. 967, pp. 300-315
  15. William L. Pardon, Some Hybrid Symplectic-Orthogonal Group Phenomena in Characteristic Four, Journal of Algebra, 53, 1978, pp. 327-33.
  16. William L. Pardon, Local Surgery Theory and A Localization Sequence for Wall Groups, Memoirs of the American Mathematical Society, No. 196, November 1977
  17. William L. Pardon, An Invariant Determining the Witt Class of a Unitary Transformation Over a Semi-Simple Ring, Journal of Algebra, 44, 1977, pp. 396-410
  18. William L. Pardon, Local Surgery and Applications to the Theory of Quadratic Forms, Bulletin of the American Mathematical Society, 82, 1976, pp. 131-33
  19. William L. Pardon, The Exact Sequence of a Localization for Witt Groups, Proceedings of Conference on Algebraic K-Theory, Lecture Notes in Mathematics, Springer-Verlag 551, 1976, pp. 336-79
  20. William L. Pardon, Hermitian K-Theory in Topology: A Survey of Some Recent Results, Proceedings of Conference on Algebraic K-Theory, Lecture Notes in Mathematics, Springer-Verlag 551, 1976, pp. 336-79

Patashnick, Owen

  1. Owen Patashnick, On multiple polylogarithm motives , preprint 2002
  2. Owen Patashnick, A candidate for the category of mixed elliptic motives , preprint 2001 [~owen]

Patel, Mainak   (search)

  1. M. Patel, B. Joshi, Decoding synchronized oscillations within the brain: Phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter, Journal of Theoretical Biology, vol. 334C (2013), pp. 13-25 [23747525]  [abs]
  2. M. Patel, B. Joshi, Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons, Journal of Computational Neuroscience [ePub ahead of print] (2013) [23820857]  [abs]
  3. M. Patel, Stimulus encoding within the barn owl optic tectum using gamma oscillations vs. spike rate: A modeling approach., Network, vol. 24 no. 2 (2013), pp. 52-74 [23406211]  [abs]
  4. B. Joshi, M. Patel, Encoding with synchrony: Phase-delayed inhibition allows for reliable and specific stimulus detection., Journal of Theoretical Biology, vol. 328 (2013), pp. 26-32 [23524360]  [abs]
  5. M. Patel, AV Rangan, D Cai, Coding of odors by temporal binding within a model network of the locust antennal lobe., Frontiers in Computational Neuroscience, vol. 7 (2013), pp. 50-67 [23630495]  [abs]
  6. M. Patel, A.V. Rangan, D. Cai, A large-scale model of the locust antennal lobe, Journal of Computational Neuroscience, vol. 27 no. 3 (2009), pp. 553-567 [19548077]  [abs]

Pearlstein, Gregory   (search)

  1. SL_2 orbits and degenerations of mixed Hodge structure, Journal of Differential Geometry (August, 2005)
  2. with P. Brosnan, On the asymptotic behavior of the archimedean height (May, 2005)
  3. with J. Fernandez, Opposite Filtrations, Variations of Hodge Structure and Frobenius Modules, in Aspects of Mathematics, vol. E 36 (2004)
  4. with A. Kaplan, Singularities of variations of mixed Hodge structure, Asian Journal of Mathematics, vol. 7 (2003)
  5. G. Pearlstein, On the asymptotic behavior of admissible variations of mixed Hodge structure, in Algebraic Geometry in East Asia (2002)
  6. Degenerations of mixed Hodge structure, Duke Math Journal, vol. 110 (2001)
  7. Variations of mixed Hodge structure, Higgs fields and Quantum Cohomology, Manuscipta Math., vol. 102 (2000)

Perea, Jose A.

  1. Jose A. Perea, Anastasia Deckard, Steve B. Haase and John Harer, SW1PerS: Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data (June, 2014) [Preprint] [Supplements]
  2. Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics (May, 2014), ISSN 1615-3375 (Journal Info: rank 7 of 296 in subject category Mathematics, 2012 Impact Factor 1.918; Journal Citation Reports, Thomson Reuters.) [arXiv:1307.6188], [doi] [Preprint]
  3. Jose A. Perea and Gunnar Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation, International Journal of Computer Vision, vol. 107 no. 1 (March, 2014), pp. 75-97, ISSN 0920-5691 (Journal Info: rank 9 of 115 in subject category Computer Science/Artificial Intelligence, 2012 Impact factor 3.623; Journal Citation Reports, Thomson Reuters.) [doi] [Preprint]

Petters, Arlie O

  1. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (July, 2015), Springer, in preparation
  2. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (July, 2014), Springer, in preparation
  3. A. Aazami, C. Keeton, and A.O. Petters, Lensing by Kerr Black Holes. II. Analytical Study of Quasi-Equatorial Lensing Observables, vol. 52 (2011), pp. 102501
  4. A. Aazami, C. Keeton, and A.O. Petters, Lensing by Kerr Black Holes. I. General Lens Equation and Magnification Formula, J. Math. Phys., vol. 52 (2011), pp. 092502
  5. A. B. Aazami, A. O. Petters, and J. M. Rabin, Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing, J. Math. Physics, vol. 52 (2011)
  6. A.O. Petters and M. C. Werner, Mathematics of Gravitational Lensing: Multiple Imaging and Magnification, Gen. Rel. and Grav., Special Issue on Gravitational Lensing, vol. 42 (Fall, 2010), pp. 2011
  7. A. Aazami and A.O. Petters, A Universal Magnification Theorem III. Caustics Beyond Codimension Five, J. Math. Physics no. 51 (2010), pp. 023503
  8. A. B. Aazami and A.O. Petters, A Universal Magnification Theorem II. Generic Caustics up to Codimension Five, J. Math. Physics, vol. 50 (Summer, 2009), pp. 082501
  9. A.O. Petters, B. Rider, and A. M. Teguia, A Mathematical Theory of Stochastic Microlensing I. Random Time Delay Functions and Lensing Maps, J. Math. Physics, vol. 50 (June, 2009), pp. 072503
  10. A. M. Aazami and A.O. Petters, A Universal Magnification Theorem for Higher-Order Caustic Singularities, J. Math. Phys., vol. 50 (Spring, 2009), pp. 032501 [3447]
  11. A.O. Petters, B. Rider, and A. M. Teguia, A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the Kac-Rice Formula, J. Math. Physics, vol. 50 (2009), pp. 122501
  12. M. C. Werner and A.O. Petters, Magnification Relations for Kerr Lensing and Testing Cosmic Censorship, Physical Review D, vol. 76 (September, 2007), pp. 064024 [0132]
  13. A.O. Petters, Algebra, Geometry, and Trigonometry: Student and Teacher Editions (August, 2007), BRC, Benque-Belize
  14. A.O. Petters, Scientific Reasoning: Student and Teacher Editions (July, 2007), BRC, Benque-Belize
  15. S. Iyer and A.O. Petters, Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity, General Relativity and Gravitation, vol. 39 (2007), pp. 1563 [0611086]
  16. A.O. Petters, PSE Mathematics: Student and Teacher Editions (February, 2007), BRC, Benque-Belize
  17. C. Keeton and A.O. Petters, Testing Theories of Gravity with Black Hole Lensing, in Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini (Summer, 2006)
  18. C. Keeton and A.O. Petters, Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. III. Braneworld Gravity, Phys. Rev. D, vol. 73 (2006), pp. 104032 [0603061]
  19. C. Keeton and A.O. Petters, Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. II. Probing Post-Post-Newtonian Metrics, Phys. Rev. D, vol. 73 (2006), pp. 044024 [0601053]
  20. C. Keeton and A.O. Petters, Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I. Static, Spherically Symmetric Case, Physical Review D, vol. 72 (2005), pp. 104006 [0511019]
  21. C. Keeton, S. Gaudi, and A.O. Petters, Identifying Lensing by Substructure II. Fold Lenses, Astrophysical Journal, vol. 635 (2005), pp. 35 [0503452]
  22. C. Keeton, S. Gaudi, and A.O. Petters, Identifying Lensing by Substructure I. Cusp Lenses, Astrophys. J., vol. 598 (2003), pp. 138 [0210318]
  23. A. O. Petters, On Relativistic Corrections to Microlensing Effects: Applications to the Galactic Black Hole, Monthly Notices of the Royal Astronomical Society, vol. 338 (2003), pp. 457 [0208500]
  24. S. Frittelli and A. O. Petters, Wavefronts, Caustic Sheets, and Caustic Surfing in Gravitational Lensing, J. Math. Phys., vol. 43 (2002), pp. 5578 [0208135]
  25. S. Gaudi and A. O. Petters, Gravitational Microlensing Near Caustics II: Cusps, The Astrophysical Journal, vol. 580 no. 468 (2002) [0206162]
  26. S. Gaudi and A. O. Petters, Gravitational Microlensing Near Caustics I: Folds, The Astrophysical Journal, 574, 970 (2002), vol. 574 no. 970 (2002) [0112531]
  27. A. O. Petters, H. Levine, and J. Wambsganss, Singularity Theory and Gravitational Lensing, Progress in Mathematical Physics, Volume 21 (June, 2001), Birkhauser [002-1045375-379126]
  28. A. O. Petters, Stable Lens Systems, Lensed Image Magnification,and Magnification Cross Sections, Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, eds. V. Gurzadyan, R. T. Jantzen, and R. Ruffini (2001), World Scientific, Singapore
  29. S. Frittelli and A. O. Petters, Wavefront Singularities due to an Elliptical Potential, Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, eds. V. Gurzadyan, R. T. Jantzen, and R. Ruffini (2001), World Scientific, Singapore
  30. B. S. Gaudi and A. O. Petters, Center of Light Curves for Whitney Fold and Cusp, Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, eds. V. Gurzadyan, R. T. Jantzen, and R. Ruffini (World Scientific,Singapore) (2001)
  31. A. O. Petters, F. Wicklin, Fixed Points Due to Gravitational Lenses, J. Math. Phys., 39, 1011 (1998)
  32. A. O. Petters, F.J. Wicklin, Counting Formulas and Bounds on Number of Fixed Points Due to Point-Mass Lenses, Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity 1997, ed. R. Ruffini (World Scientific, Singapore) (Summer, 1997)
  33. S. Mao, A. O. Petters, and H. Witt, Properties of Point Mass Lenses on a Regular Polygon and the Problem of Maximum Number of Lensed Images, in Proceedings of the Eighth Marcel Grossman Meeting on General Relativity, ed. R. Ruffini (World Scientific, Singapore) (Summer, 1997)
  34. A. O. Petters, Some Global Results on Gravitational Lensing, Proceedings of the Eight Marcel Grossman Meeting on General Relativity, ed. R. Ruffini (World Scientific, Singapore) (Summer, 1997)
  35. A. O. Petters, Curvature of Caustics and Singularities of Gravitational Lenses, Proceedings of the Second World Congress of Nonlinear Analysts ed. V. Lakshmikantham (Elsevier Science Ltd., Oxford) (1997)
  36. A. O. Petters, Multiplane Gravitational Lensing III. Upper Bound on Number of Images, J. Math. Phys., vol. 38 (1997), pp. 1605
  37. A. O. Petters, Lower Bounds on Image Magnification in Gravitational Lensing, Proc. R. Soc. Lond. A, vol. 452 (1996), pp. 1475
  38. A. O. Petters, A Cusp-Counting Formula for Caustics Due to Multiplane Gravitational Lensing, Astrophysical Applications of Gravitational Lensing, eds. C.S. Kochanek and J.N. Hewitt (Klumer Academic, Dordrecht) (1996)
  39. A. O. Petters, Mathematical Aspects of Gravitational Lensing, Proceedings of the Seventh Marcel Grossman Meeting on General Relativity, Vol. B, eds. R.T. Jantzen and G.M. Keiser (World Scientific, Singapore) (1996)
  40. A. O. Petters and F.J. Wicklin, New Caustic Phenomena for Caustics in Double-Plane Lensing, Astrophysical Applications of Gravitational Lensing, eds. C.S. Kochanek and J.N. Hewitt (Klumer Academic, Dordrecht) (1996)
  41. A. O. Petters and H. Witt, Bounds on Number of Cusps Due to Point Mass Gravitional Lenses with Continuous Matter and Shear, J. Math. Phys., vol. 37 no. 2920 (1996)
  42. A. O. Petters, F.J. Wicklin, Caustics of the Double-Plane Two Point-Mass Gravitational Lens with Continuous Matter and Shear, Mon. Not. R. Astron. Soc., vol. 277 (Summer, 1995), pp. 1399
  43. A. O. Petters, Multiplane Gravitational Lensing II: Global Geometry of Caustics, J. Math. Phys., vol. 36 (April, 1995), pp. 4276
  44. A. O. Petters, Multiplane Gravitational Lensing I: Morse Theory and Image Counting, J. Math. Phys., vol. 36 (March, 1995), pp. 4263
  45. H. Levine and A. O. Petters, Singularities and Gravitational Lensing, Passion des Formes: Hommage a Rene Thom,Vol. 1 (M. Porte, ed.) E.N.S. Edition, Fontenany-St Cloud (1994)
  46. H. Levine, A. O. Petters, and J. Wambsganss, Applications of Singularity Theory to Gravitational Lensing, J. Math. Phys., vol. 34 (1993), pp. 4781
  47. H. Witt and A. O. Petters, Singularities of the One and Two Point Mass Gravitational Lens, J. Math. Phys., 34, 4781 (1993)
  48. H. Levine and A. O. Petters, New Caustic Singularities in Multiple Lens Plane Gravitational Lensing, Astron. Astrophys., vol. 272 no. L17 (1993)
  49. A. O. Petters, Arnold's Singularity Theory and Gravitational Lensing, J. Math. Phys., vol. 34 (1993), pp. 3555
  50. A. O. Petters, Morse Theory and Gravitational Microlensing, J. Math. Phys., vol. 33 (1992), pp. 1915
  51. A. O. Petters and D. Spergel, An Analytical Approach to Quasar Variability due to Microlensing, Gravitational Lenses, eds. R. Kayser, T. Schramm, and L. Nieser (Lecture Notes in Physics, 406, Springer, Ber1in) (1992)
  52. A. O. Petters, Morse Theory and Gravitational Microlensing, Gravitational Lenses, eds. R. Kayser, T. Schramm, and L. Nieser (Lecture Notes in Physics 406, Springer, Ber1in) (1992)
  53. A.O. Petters, Singularities in Gravitational Microlensing, Ph.D. Thesis, MIT, Department of Mathematics (1991)

Reed, Michael C

  1. L. Rios-Avila, H. F. Nijhout, M. C. Reed, H. S. Sitren, J. F. Gregory III, A mathematical model of tryptophan metabolism via the kynurenine pathway provides insights into the effects of vitamin B-6 deficiency, tryptophan loading and induction of tryptophan 2,3-dioxygenase on tryptophan metabolites, J. Nutrition, vol. 143 (2013), pp. 1509-1519
  2. M. Reed, H. F. Nijhout, J. Best, Computational studies of the role of serotonin in the basal ganglia, Frontiers in Integrative Neuroscience, vol. 7 (2013), pp. 1-8
  3. T. Duncan, M. Reed, H. F. Nijhout, A population model of folate-mediated one-carbon metabolism, Nutrients, vol. 5 (2013), pp. 2457-2474
  4. M. Reed, H. F. Nijhout, J. Best, Projecting biochemistry over long distances, Math. Models Natural Phenomena (2013)
  5. S. Lawley, J. Mattingly, M. Reed, Sensitivity to switching rates on stochastically switched ODEs (2013)
  6. T. Duncan, M. Reed, H. F. Nijhout, The relationship between intracellular and plasma levels of folate and metabolites in the methionine cycle: A model, Mol. Food Nutr. Res., vol. DOI 10.1002/mnfr.201200125 (2013), pp. 628-636
  7. R. Ben-Shachar, Y, Chen, S. Luo, C. Hartman, M. Reed, H. F. Nijhout, The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model, Theoretical Biology and Medical Modeling, vol. 9 (2013), pp. 1-22
  8. M. Patel, M. Reed, Stimulus Encoding Within the Barn Owl Optic Tectum Using Gamma Oscillations versus Spike Rate: A Modeling Approach., Network, vol. 24 (2013), pp. 52-74
  9. M. Reed, H. F. Nijhout, J. Best, Mathematical insights into the effects of levodopa, Frontiers in Integrative Neuroscience, vol. 6 (2012), pp. 1-24
  10. S. Luo, M. Reed, J. Mattingly, K, Koelle, population dynamics of antigenic immune escape The impact of host immune status on the within-host and, J. Royal Soc. Interface, vol. (doi: 10.1098/rsif.2012.0180) (2012)
  11. Geenen S, du Preez FB, Reed MC, Nijhout HF, Kenna JG, Wilson ID, Westerhoff HV and Snoep JL, A Mathematical Modelling Approach to Assessing the Reliability of Biomarkers of Glutathione Metabolism, Eur. J. Pharm. Sci. (doi:10.1016/j.ejps.2011.08.017) (2012)
  12. J. Best, H. F. Nijhout, M. Reed, Bursts and the efficacy of selective serotonin reuptake inhibitors, Pharmacopsychiatry, vol. 43(Supp. 1) (2011), pp. S76-S-83
  13. J. Best, G. Oakley, M. Reed, H. F. Nijhout, Mathematical models: Interactions between serotonion and dopamine in Parkinson's disease, in Etiology and Pathophysiology of Parkinson's Disease, edited by Abdul Qayyum Rana (2011), pp. 405-420, InTech
  14. M. L. Neuhouser, H. F. Nijhout, M. C. Reed, A Liu, J. F. Gregory II, B. Shane, S. J. James, R. Galbraith, C. M. Ulrich, Mathematical modeling predicts the effect of folate deficiency and excess on cancer related biomarkers, Cancer Epid. Biomark. Prev., vol. 43 (2011), pp. 1912-1917
  15. M.C. Reed, Thomas Kurtz, H. F. Nijhout, Mathematical modeling of cell metabolism, in Encyclopedia of Applied and Computational Mathematics, edited by B. Engquist (2011), Springer, Berlin
  16. S. Lawley, M. Cinderella, M. Hall, M. Gamble, H. F. Nijhout, M.C. Reed, Mathematical model insights into arsenic methylation, Theoretical Biology and Medical Modeling, vol. 8 (2011), pp. 1-17
  17. Popovic L, McKinley, S., Reed M., A stochastic compartment model for fast axonal transport, SIAM J. Appl. Math., vol. 71 (2011), pp. 1531-1556
  18. J. A Best, H. F. Nijhout, M.C. Reed, Serotonin synthesis, release, and reuptake in terminals: a mathematical model, Theoretical Biology and medical Modeling, vol. 32 (2010), pp. 34-
  19. J. Best, M.C. Reed, H. F. Nijhout, Models of dopaminergic and serontonergic signaling, Pharmacopsychiatry, vol. 43(supp. 1) (2010), pp. S61-S66
  20. Reed M, Lieb A, Nijhout HF, Biological Significance of Substrate Inhibition, BioEssays, vol. 32 (2010), pp. 422-429
  21. H. Frederik Nijhout, Jesse F. Gregory, Courtney Fitzpatrick, Eugenia Cho, Cornelia M. Ulrich, Michael C. Reed, A Mathematical Model Gives Insights into the Effects of B6 Deficiency on One-Carbon and Glutathione Metabolism, Nutrition, vol. 139 (2009), pp. 784-791
  22. Best J, Nijhout HF, Reed M, Homeostatic mechanisms in dopamine synthesis and release: a mathematical model., Theoretical Biology and Medical Modeling, vol. 6 (2009), pp. 21-
  23. Audrey S. Howell AS, Savage NS, Johnson SA, Bose I, Wagner AW, Zyla TR, Goryachev AB, Nijhout HF, Reed MC, and Lew DJ, Singularity in polarization: re-wiring yeast cel ls to make two buds, Cell, vol. 139 (2009), pp. 731-743
  24. Thomas DC, Conti DV, Ulrich CM, Nijhout HF, Reed MC, Baurly J., Use of pathway information in molecular epidemiology. Human Genomics, Human Genomics, vol. 4 (2009), pp. 21-42
  25. Reed M, Best J, Nijhout HF, Passive and active stabilization of dopamine in the striatum., Bioscience Hypotheses, vol. 2 (2009), pp. 240-244
  26. Nijhout HF, Reed M, Ulrich C, Mathematical Models of One-Carbon Metabolism, in Vitamins and Hormones, Folic Acid, edited by G. Litwack, vol. 79 (2008), pp. 42-85, Elsevier
  27. Ulrich CM, Reed MC, Nijhout HF, Modeling folate, one-carbon metabolism, and DNA methylation, Nutrition Reviews, vol. 66, Supp1 (2008), pp. S27-S30
  28. Nijhout HF, Reed MC, A Mathematical Model for Juvenile Hormone Titers, Journal of Insect Physiology, vol. 54 no. 255-264 (2008)
  29. Nijhout HF, Reed M, Ulrich C, A day in the life of cell metabolism, Journal of Biological Theory, vol. 2 (2008), pp. 124-127
  30. Reed M, Thomas R, Pavisic J, Nijhout HF, James SJ, Ulrich CM, A Mathematical Model of Glutathione Metabolism, Theoretical Biology and Medical Modelling, vol. 5 (2008), pp. 1-16
  31. Ulrich CM, Neuhouser M, Liu A, Boynton A, Gregory JF, Shane B, James SJ, Reed MC, Nijhout HF, Mathematical modeling of folate metabolism: Predicted effects of genetic polymorphisms on mechanisms and biomarkers relevant to carcinogenesis, Cancer Epidemiology Biomarkers and Prevention, vol. 17 (2008), pp. 1822-1831
  32. M.C. Reed, Mathematical Biology, in The Princeton Companion to Mathematics (2008), Princeton University Press, Princeton
  33. Damien D, Escartin F, Nijhout HF, Reed MC, Liebl U, Skouloubris S, Myllykallio H, Flavin-dependent thymidylate synthase ThyX activity: Implications for the folate cycle in Bacteria, Journal of Bacteriology, vol. 189 (2007), pp. 8537-8545
  34. D. Anderson, J. Mattingly, F. Nijhout, M.C. Reed, Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks, vol. 69 (2007), pp. 1791-1813
  35. Mitchell, C., and M.C. Reed, Neural Timing in Highly Convergent Systems, SIAM J. Applied Math., vol. 68 (2007), pp. 720-737
  36. Nijhout, H. F., Reed, M., Anderson, D., Mattingly, J., James, S. J., and Ulrich, C. M., Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation rate, Epigenetics, vol. 1 (2006), pp. 81-87
  37. Ulrich , C.M., Nijhout , H.F. and Reed, M.C., Mathematical modeling: epidemiology meets systems biology, Cancer Epidemiol. Biomarkers Prev., vol. 15 (2006), pp. 827-829
  38. Reed, M.C., Nijhout, H.F., Neuhouser, M.L., Gregory J.F. III., Shane, B., James, S.J., Boynton, A. and Ulrich, C.M., A mathematical model gives insights into nutritional and genetic aspects of folate-mediated one-carbon metabolism, J. Nutrition, vol. 136 (2006), pp. 2653-2661
  39. Boyles, A.L. Billups, A.V., Deak, K.L., Siegel, D.G., Mehltretter, L., Slifer, S.H. Bassuk, A.G., Kessler, J.A., Reed, M.C. Nijhout, H.F. George, T.M., Enterline, D.S., Gilbert, J.R., Speer, M.C., Neural tube defects and folate pathway genes: family-based association tests of gene-gene and gene-environment interactions, Environ. Health Perspect., vol. 114 (2006), pp. 1547-1552
  40. Laurent, T, Rider, B. and M. Reed, Parabolic Behavior of a Hyberbolic Delay Equation, SIAM J. Mathematical Analysis, vol. 38 (2006), pp. 1-15
  41. Nijhout, H. F., Reed, M. C., Shane, B., Gregory, J. F., Ulrich, C. M., In Silico experimentation with a model of hepatic mitochondrial folate metabolism, Theoretical Biology and Medical Modeling, vol. 3 (2006), pp. 40-
  42. H. F. Nijhout, M.C. Reed, P. Budu, C. Ulrich, A Mathematical Model of the Folate Cycle -- New Insights into Folate Homeostasis, J. Biological Chemistry, vol. 279 no. 53 (December, 2004), pp. 55008-55016`
  43. M.C. Reed, Why Is Mathematical Biology So Hard?, Notices of the AMS, vol. 51 (March, 2004), pp. 338-342  [author's comments]
  44. M.C. Reed, J. Blum, T. Washington, J. M. Conn, A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH, Theoretical Biology and Medical Modeling, vol. 1 no. 9 (2004), pp. 1-17  [abs]
  45. M.C. Reed, H. F. Nijhout, R. Sparks, C. M. Ulrich, A Mathematical Model of the Methionine Cycle, Journal of Theoretical Biology, vol. 226 (2004), pp. 33-43
  46. Solodovnikov, A., and M. C. Reed, Robustness of a Neural Network Model for Differencing, J. Computational Neuroscience, vol. 11 (2001), pp. 165-173
  47. M.C. Reed, J. Blum, J. A. Jonovick, P. M. Conn, A Mathematical Model Quantifying GnRH--induced LH Secretion from Gonadotropes, Amer. J. Physiol. Endocrinol. Metab., vol. 278 (2000), pp. 263-272  [abs]
  48. Michael C. Reed, Jacob Blum, Colleen Mitchell, Precision of Neural Timing, Effects of Convergence and Time-Windowing, J. Computational Neuroscience, vol. 13, (2002), pp. 35-47
  49. Michael C. Reed and Joseph Blum, Model Calculations of Time Dependent Responses to Binaural Stimuli in the Dorsal Nucleus of the Lateral Lemniscus, Hearing Research, 149 (2000), 77-90.
  50. Jacob J. Blum, Michael C. Reed, Jo Ann Janovick and M. Conn, A Mathematical Model for Quantitaion of Gonadotropin-Releasing Hormone Stimulation of Luteinizing Hormone Secretion for Gonadotropes, Amer. J. Physiol. Endocrinol. Metab. 278 (2000), 263-272.
  51. Michael C. Reed and Jacob J. Blum, Model Calculations of Steady State Responses to Binaural Stimuli in the Dorsal Nucleus of the Lateral Lemniscus, Hearing Research 136 (1999), 13-28.
  52. Jacob J. Blum and Michael C. Reed, Effects of Wide Band Inhibitors in the Dorsal Cochlear Nucleus II: Model Calculations of the Responses to Complex Sounds, J. Acoust. Soc. Am., 103 (1998), 2000-2009.
  53. Michael C. Reed and Jacob J. Blum, Envelope Coding in the Auditory Brainstem, Proc. Conference on Biomedical Simulation, P. Cellier, Ed., 1997.
  54. Michael C. Reed and Jacob J. Blum, Model Calculations of the Effects of Wide-band Inhibitors in the Dorsal Cochlear Nucleus, J. Acoust. Soc. Am. 102 (1997), 2238-2244.
  55. Michael C. Reed and Jacob J. Blum, A Computational Model for Signal Processing by the Dorsal Cochlear Nucleus: I. Responses to Pure Tones, J. Acoust. Soc. Am. 97(1995), 425-438
  56. Jacob J. Blum, Michael C. Reed and John M. Davies, A Computational Model for Signal processing by the Dorsal Cochlear Nucleus: II Responses to Broadband and Notch Noise, J. Acoust. Soc. Am., 98(1995), 181-191.
  57. Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing, Comments in Theoretical Biology, 3(1995), 441-461
  58. Jacob J. Blum and Michael C. Reed, Models of Axonal Transport: Applications to Understanding Certain Neuropathies, Handbook of Neurotoxicology I: Basic Principles and Current Concepts, Dekker, N.Y., 1994.
  59. Michael C. Reed and Jacob J. Blum, Mathematical Questions in Axonal Transport, Lectures on Mathematics in the Life Sciences, Vol. 24, American Math. Soc., Providence, pp. 1-21, 1994

Rider, B.

  1. Order Statistics and Ginibre's Ensembles, Journal of Statistical Physics, vol. 114 no. 3/4 (2004), pp. 1139-1149 [ps]
  2. Fluctuations in the Thermodynamic Limit of Focussing Cubic Schr{\"o}dinger, Journal of Statistical Physics, vol. 113 no. 3/4 (2003), pp. 575-594 [ps]
  3. with S. Cambronero, J. Ram{\'\i}rez, On the ground state eigenvalue of a random Hill's equation (2003)
  4. Deviations from the Circular Law, Probability Theory and Related Fields , accepted 2004 [ps]
  5. with Jos{\'e} Ram{\'\i}rez, Stochastic models for chemical-mechanical polishing , submitted 2003 [ps]
  6. A Limit Theorem at the edge of a non-Hermitian Random Matrix Ensemble, Journal of Physics A: Mathematical and General (36) 3401-3409 (2003). [ps]
  7. with Shmuel Friedland and Ofer Zeitouni, Concentration of Permanent Estimators for Certain Large Matrices, Annals of Applied Probability , accepted 2003 [ps]
  8. Brownian Motion with Restoring Drift: Micro-canonical Ensemble and Thermodynamic Limit, Communications in Math Physics, (231) 463-480, (2002). [ps]
  9. On the $\infty$-Volume Limit of Focussing Cubic Schr{\"o}dinger, Communications on Pure and Applied Mathematics, (55) 1231-1248 (2002). [ps]

Rogers, Bruce

  1. G. Fricke, B. Rogers and D. Garg, On the Stability of Swarm Consensus Under Noisy Control (2010) [4999]
  2. B. Rogers and D. Murillo, Uncertainty in the dynamics of agro-ecosystems: the role of cultural practices of the Tsembaga, Natural Resouce Modeling (2010)
  3. M. Hindman and B. Rogers, Dynamics of Web Traffic, Journal of Communication (2010) [papers.cfm]
  4. B. Rogers, Control of Opinions in an Ideologically Homogeneous Population, in Social Computing and Behavioral Modeling, edited by Liu, Salerno and Young (2009), Springer
  5. B. Rogers and C. Menjivar, Visualizing Fragmented Ties, in Mixed Methods in Social Network Research (2009)

Romeo, Monica M.

  1. Elena G. Tolkacheva, Mónica M. Romeo, Marie Guerraty, Daniel J. Gauthier, Condition for alternans and its control in a two-dimensional mapping model of paced cardiac dynamics, Phys. Rev. E (2003)
  2. Elena Tolkacheva, Mónica M. Romeo, Daniel J. Gauthier, Control of cardiac alternans in a mapping model with memory (2003)
  3. Mónica M. Romeo and C.K.R.T. Jones, The stability of traveling calcium pulses in a pancreatic acinar cell, Physica D, vol. 177 no. 1-4 (2003), pp. 242-258
  4. Mónica M. Romeo and C. K. R. T. Jones, Stability of neuronal pulses composed of concatenated unstable kinks, Phys. Rev. E, vol. 63, (2001), pp. 011904

Rose, Donald

  1. H. Shao, K. J. Sampson, J. B. Pormann, D. J. Rose, C. S. Henriquez, A Resistor Interpretation of General Anisotropic Cardiac Tissue: use of triangular meshes, MATHEMATICAL BIOSCIENCES (Summer, 2004)
  2. H. Shao, K. J. Sampson, J. B. Pormann, D. J. Rose, C. S. Henriquez, A Resistor Interpretation of General Anisotropic Cardiac Tissue: use of triangular meshes, MATHEMATICAL BIOSCIENCES (2004)
  3. D. Rose, et al., Computer Simulations of Cardiac Electrophysiology, Proceedings of the EC2000 Conference (November, 2000)
  4. D. Rose, et al., Automated Membrane Model Creation, Proceedings of Computers in Cardiology (September, 2000)
  5. D. Rose, H. Shao, and C. Henriquez, Discretization of Anisotropic Convection-Diffusion Equations, Convective M-matrices and Their Iterative Solution, VLSI DESIGN 10 (2000), pp. 485-529
  6. D. Rose, J. Pormann, and J .A. Board, The Implicit Pipeline Method, Proceedings of 1998 IPPS/SPDP (March, 1998)
  7. D. Rose, D., M.Y. Kao, and H. Shao, Gridding and Discretization For Divergence Form (Semiconductor-Like) PDE's, VLSI DESIGN 6 (1998), pp. 111-115
  8. D. Rose, Paul J. Lanzkron and James T. Wilkes, An Analysis of Approximate Nonlinear Elimination, SIAM J. SCIENTIFIC COMPUTING, vol. 17 (1996), pp. 538-559
  9. D. Rose, N. Hooke, C. Henriquez, and P. Lanzkron, Linear Algebraic Transformations of the Bidomain Equations: Implications for Numerical Methods, MATHEMATICAL BIOSCIENCES, vol. 120 (1994), pp. 127-145
  10. D. Rose and P.J. Lanzkron, Nested Dissection on a M x M x K Grid, PANAMERICAN MATHEMATICAL J, vol. 2 (1992), pp. 1-10
  11. D. Rose, P.J. Lanzkron, J.T. Wilkes, S. Mueller and W. Fichtner, The Use of Nonlinear Elimination in Steady-State Circuit and Device Simulation, IEEE WORKSHOP ON NUMERICAL MODELING OF PROCESSES AND DEVICES FOR INTEGRATED CIRCUITS: NUPAD, vol. IV (1992), pp. 143-148
  12. D. Rose and D. Erdman, Newton Waveform Relaxation Techniques for Tightly Coupled Systems, IEEE TRANS CAD/ICAS, vol. 11 (1992), pp. 598-606
  13. D. Rose, C.Gardner and P.J. Lanzkron, A Parallel Block Iterative Method for the Hydrodynamic Device Model, IEEE TRANS CAD/ICAS, vol. 10 (1991), pp. 1187-1192
  14. D. Rose, E. Fatemi, C. Gardner, J.W. Jerome, and S.Osher, Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods, in COMPUTATIONAL ELECTRONICS: SEMICONDUCTOR TRANSPORT AND DEVICE SIMULATION, pp. 27-32, edited by K. Hess, J. P. Leburton and U. Ravaioli (1991), Boston: Kluwer Academic Publishers
  15. D. Rose, P.J. Lanzkron and D.B. Szyld, Convergence of nested classical iterative methods for linear systems, NUMER MATH, vol. 58 (1991), pp. 685-702
  16. D. Rose, R. Fair, C. Gardner, M. Johnson, S. Kenkel, J. Rose and R. Subrahmanyan, Two-dimensional process simulation using verified phenomenological models, IEEE TRANS CAD, vol. 10 (1991), pp. 643-651
  17. D. Rose and R. E. Bank, On the complexity of sparse Gaussian elimination via bordering, SIAM J SCI STAT COMPUT, vol. 11 (1990), pp. 145-160
  18. D. Erdman and D. Rose, A Newton Waveform Relaxation Algorithm for Circuit Simulation, ICCAD-89, Conference Proceedings (1989), pp. 404-407
  19. C.L. Gardner, J.W. Jerome and D. Rose, Numerical methods for the hydrodynamic device model: subsonic flow, IEEE TRANS CAD, vol. 8 (1989), pp. 501-507
  20. R.E. Bank and D. Rose, Some error estimates for the box method, SIAM J NUMER ANALYSIS, vol. 24 (1987), pp. 777-787
  21. W.M. Coughran, Jr., Eric Grosse and D. Rose, Aspects of computational circuit analysis, in VLSI CAD TOOLS AND APPLICATIONS, pp. 105-127, edited by W. Fichtner and M. Morf (1987), Kluwer Academic Press, Boston
  22. R. Bank, W. Fichtner, R.K. Smith and D. Rose, Algorithms for semiconductor device simulation, in LARGE SCALE SCIENTIFIC COMPUTING, pp. 3-21, edited by B. Engquist and P. Deuflhardt (1987), Birkhauser
  23. D. Rose, Numerical analysis for VLSI simulation: pointers and reflections, in FRONTIERS OF SUPER-COMPUTING, edited by N. Metropolis, D.H. Sharp, W.J. Worlton, and K.R. Ames (1986), University of California Press
  24. W.M. Coughran, E.H. Grosse and D. Rose, Variation diminishing splines in simulation, SIAM J STAT SCI COMP, vol. 7 (1986), pp. 696-705
  25. R.E. Bank, W.M. Coughran, W. Fichtner, R.K. Smith and D. Rose, Computational aspects of semiconductor device simulation, in PROCESS AND DEVICE SIMULATION, pp. 229-264, edited by W.L. Engl, PROCESS AND DEVICE SIMULATION (1986), North Holland
  26. R.E. Bank, W.M. Coughran, W. Fichtner, E.H. Grosse, R.K. Smith and D. Rose, Transient simulation of silicon devices and circuits, IEEE TRANS ELECTRON DEV and and IEEE TRANS CAD, vol. ED-32 and CAD-4 (1985), pp. 1992-2007 and 436-451
  27. R.E. Bank and D. Rose, Discretization and multilevel solution techniques for nonlinear elliptic systems, in ELLIPTIC PROBLEM SOLVERS II, edited by G. Birkhoff and A. Schoenstadt (1984), Academic Press, N.Y.
  28. P.E. Bjorstad, W.M. Coughran, H.S. Greenside, N.L. Schryer and D. Rose, Numerical solution of a model equation near the onset of the Rayleigh-Benard, in ELLIPTIC PROBLEM SOLVERS II, edited by G. Birkhoff and A. Schoenstadt (1984), Academic Press, N.Y.
  29. D. Rose, Convergent regular splittings for singular M-matrices, SIAM J ALGEBRAIC DISCRETE METH, vol. 5 (1984), pp. 133-144
  30. J.R. Gilbert, A. Edenbrandt and D. Rose, A separator theorem for chordal graphs, SIAM J ALGEBRAIC DISCRETE METH, vol. 5 (1984), pp. 306-313
  31. W.M. Coughran, E.H. Grosse and D. Rose, CAzM: a circuit analyzer with macromodeling, IEEE TRANS ELECTRON DEV, vol. ED-30 (1983), pp. 1207-1213
  32. R.E. Bank, W. Fichtner and D. Rose, Numerical methods for semiconductor device simulation, SIAM J SCI STAT COMP and IEEE TRANS ELECTRON DEV, vol. 4 and ED-30 (1983), pp. 1031-1041
  33. W. Fichtner, R.E. Bank and D. Rose, Semiconductor device simulation, SIAM J SCI STAT COMP and IEE TRANS ELECTRON DEV, vol. 4 and ED-30 (1983), pp. 1018-1030
  34. R.E. Bank and D. Rose, Analysis of a multilevel iterative method for nonlinear finite element equations, MATH COMP, vol. 39 (1982), pp. 453-465
  35. R.E. Bank and D. Rose, Global approximate Newton methods, NUMER MATH, vol. 37 (1981), pp. 279-295
  36. W. Fichtner and D. Rose, On the numerical solution of nonlinear elliptic PDEs arising from semiconductor device modeling, in ELLIPTIC PROBLEM SOLVERS, pp. 277-284, edited by M. Schultz (1981), Academic Press, N.Y.
  37. R.E. Bank and D. Rose, Parameter selection for Newton-like methods applicable to nonlinear partial differential equations, SIAM J NUMER ANALYSIS, vol. 17 (1980), pp. 806-822
  38. D. Rose, Matrix identities of the fast Fourier transform, LINEAR ALGEBRA APPL, vol. 29 (1980), pp. 423-443
  39. A.H. Sherman, R.E. Tarjan, G.F. Whitten and D. Rose, Algorithms and software for in-core factorization of sparse symmetric positive definite matrices, COMPUTERS AND STRUCTURES, vol. 11 (1980), pp. 597-608
  40. R.J. Lipton, R.E. Tarjan and D. Rose, Generalized nested dissection, SIAM J NUMER ANALYSIS, vol. 16 (1979), pp. 346-358
  41. R.E. Bank and D. Rose, Design and implementation of an elliptic equation solver for rectangular regions, in COMPUTERS, FAST ELLIPTIC SOLVERS, AND APPLICATIONS, pp. 112-124, edited by U. Schumann (1978), Advanced Publication Ltd.
  42. R.E. Tarjan and D. Rose, Algorithmic aspects of vertex elimination on directed graphs, SIAM J APPLIED MATH, vol. 34 (1978), pp. 176-197
  43. R.E. Bank and D. Rose, Marching algorithms for elliptic boundary value problems I : the constant coefficient case, SIAM J NUMER ANALYSIS, vol. 14 (1977), pp. 792-829
  44. R.E. Bank and D. Rose, Extrapolated fast direct algorithms for elliptic boundary value problems, in NEW DIRECTIONS AND RECENT RESULTS IN ALGORITHMS AND COMPLEXITY, pp. 201-247, edited by J.F. Traub (1976), Academic Press, N.Y.
  45. G.F. Whitten and D. Rose, A recursive analysis of dissection strategies, in SPARSE MATRIX COMPUTATIONS, pp. 59-83, edited by J.R. Bunch and D.J. Rose (1976), Academic Press, N.Y.
  46. R.E. Tarjan, G.S. Lueker and D. Rose, Algorithmic aspects of vertex elimination on graphs, SIAM J COMP, vol. 5 (1976), pp. 245-254
  47. R.E. Tarjan and D. Rose, Algorithmic aspects of vertex elimination, PROC SEVENTH ANNUAL ACM SYMPOSIUM ON THEORY OF COMPUTING (1975), pp. 245-254
  48. D. Rose, A simple proof for partial pivoting, AMER MATH MONTHLY, vol. 9 (1975), pp. 919-921
  49. R.E. Bank and D. Rose, An O(n2) method for solving constant coefficient boundary value problems in two dimensions, SIAM J NUMER ANALYSIS, vol. 12 (1975), pp. 529-539
  50. J.R. Bunch and D. Rose, Partitioning, tearing and modification of sparse linear systems, J MATH ANALYSIS APPL, vol. 48 (1974), pp. 574-593
  51. D. Rose, On simple characterizations of k-trees, DISCRETE MATH, vol. 7 (1974), pp. 317-322
  52. L. Haskins and D. Rose, Toward characterization of perfect elimination digraphs, SIAM J COMP, vol. 2 (1973), pp. 217-224
  53. A.J. Hoffman, M.S. Martin and D. Rose, Complexity bounds for regular finite difference and finite element grids, SIAM J NUMER ANALYSIS, vol. 10 (1973), pp. 364-369
  54. J.R. Bunch and D. Rose, The role of partitioning in the numerical solution of sparse systems, in SPARSE MATRICES AND THEIR APPLICATIONS, pp. 177-187, edited by D.J. Rose and R.A. Willoughby (1972), Plenum Press, N.Y.
  55. D. Rose, A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations, in GRAPH THEORY AND COMPUTING, pp. 183-217, edited by Ronald Read (1972), Academic Press, N.Y.
  56. D. Rose, Triangulated graphs and the elimination process, J MATH ANALYSIS APPL, vol. 32 (July, 1970), pp. 597-609
  57. D. Rose, An algorithm for solving a special class of tridiagonal systems of linear equations, CACM, vol. 12 (1969), pp. 234-236

Roudenko, Svetlana A

  1. S. Roudenko, Duality of matrix-weighted function spaces, Studia Mathematica, vol. 160 no. 2 (2004), pp. 129-156 [papers]
  2. M. Frazier and S. Roudenko, Matrix-weighted Besov Spaces and Conditions of $A_p$ type for $0 < p \leq 1$, Indiana Math J., vol. 53 (2004) [dvi]
  3. S Roudenko, A Comech, On Osher-Sole-Vese model in image processing (2004) [images-osv]
  4. A. Comech, S. Roudenko, Integral operators associated to sublevel sets, submitted (2003) [available here]
  5. S. Roudenko, The theory of Function Spaces with Matrix Weights, PhD dissertation, MSU, (2002), pp. 1-133 [pdf]
  6. S. Roudenko, Matrix-weighted Besov Spaces, Trans. Amer. Math. Soc. 355 (2003), 273-314 [journal-getitem]
  7. S. Roudenko, Duality of matrix-weighted Besov Spaces , submitted 2002 [dvi]

Rutherford, Daniel R

  1. D. B. Fuchs, D. Rutherford, Generating families and Legendrian contact homology in the standard contact space, Journal of Topology (2010)
  2. D. Rutherford, HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links, Quantum Topology (2010)
  3. D. Rutherford, The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond, International Mathematics Research Notices (2006)

Ryser, Marc D

  1. S. Payne, B. Li, Y. Cao, D. Schaeffer, M.D. Ryser, L. You, Temporal control of self-organized pattern formation without morphogen gradients in bacteria, Molecular Systems Biology, vol. 9 no. 697 (2013)
  2. J. Foo, K. Leder, M.D. Ryser, Multifocality and recurrence risk: a quantitative model of field cancerization (2013)
  3. M.D. Ryser, K. McGoff, D. Herzog, D. Sivakoff, E. Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (2013)
  4. M.D. Ryser, Y. Qu, S.V. Komarova, Osteoprotegerin in bone metastases: mathematical solution to the puzzle, J. Comput. Biol. (October 18, 2012)
  5. M. Hairer, M.D. Ryser, H. Weber, Triviality of the 2D stochastic Allen-Cahn equation, Electron. J. Probab. (May 30, 2012) [arXiv:1201.3089v1], [1731]
  6. M.D. Ryser, N. Nigam, P.F. Tupper, On the well-posedness of the stochastic Allen-Cahn equation in two dimensions, J. Comput. Phys. (2011) [arXiv:1104.0720v4], [002]
  7. M.D. Ryser, S.V. Komarova, N. Nigam, The cellular dynamics of bone remodeling: a mathematical model, SIAM J. Appl. Math. (2010) [arXiv:1111.6916v1], [090746094]
  8. M.D. Ryser, N. Nigam, S.V. Komarova, Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit, J. Bone Min. Res. (2009) [full]
  9. M. Lehning, H. Loewe, M.D. Ryser, N. Raderschall, Inhomogeneous precipitation distribution and snow transport in steep terrain, Water Resour. Res. (2008) [2007WR006545.shtml]
  10. P.R. Buenzli, Ph.A. Martin, M.D. Ryser, Thermal quantum electrodynamics of nonrelativistic charged fluids, Phys. Rev. E (2007) [arXiv:quant-ph/0701192v2], [e041125]
  11. M.D. Ryser, S.V. Komarova, Mathematical modeling of cancer metastases, in Computational Bioengineering , CRC/Taylor & Francis (Invited book chapter.)

Saab, Rayan

  1. F. Krahmer, R. Saab, R. Ward, Root-exponential accuracy for coarse quantization of finite frame expansions, IEEE Transactions on Information Theory (February, 2012) [pdf]
  2. M. P. Friedlander, H. Mansour, R. Saab, Ö. Yilmaz, Recovering Compressively Sampled Signals Using Partial Support Information, IEEE Transactions on Information Theory (February, 2012) [1010.4612v2]
  3. N. Strawn, A. Armagan, R.Saab, L. Carin, D. Dunson, Finite sample posterior concentration in high-dimensional regression (2012)
  4. A. Powell, R. Saab, O. Yilmaz, Quantization and finite frames, in Finite frames, edited by P. Casazza, G. Kutyniok (2012), ISBN 978-0-8176-8373-3
  5. S. Güntürk, M. Lammers, A. Powell, R. Saab, O. Yilmaz., Sobolev duals for random frames and Sigma-Delta quantization of compressed sensing measurements, Foundations of Computational Mathematics (2012)
  6. R. Saab, O. Yilmaz, Sparse recovery by non-convex optimization -- instance optimality, Applied and Computational Harmonic Analysis. (2009) [002]
  7. E. van den Berg, M.P. Friedlander, G. Hennenfent, F. J. Herrmann, R. Saab, O. Yilmaz., Sparco: a testing framework for sparse reconstruction, ACM Transactions on Mathematical Software (2009) [pdf]
  8. D. Wang, R. Saab, Ö. Yilmaz, F. J. Herrmann., Bayesian wavefield separation by transform-domain sparsity promotion, Geophysics (2008) [html]

Saper, Leslie D.

  1. L. Ji, K. Murty, L. Saper, and J. Scherk, The Fundamental Group of Reductive Borel-Serre and Satake Compactifications, The Asian Journal of Mathematics (March 2014)  [abs]
  2. L. Ji, K. Murty, L. Saper, and J. Scherk, The Congruence Subgroup Kernel and the Fundamental Group of the Reductive Borel-Serre Compactification (June, 2011) [arXiv:1106.4810]  [abs] [author's comments]
  3. Leslie D. Saper, $\mathscr L$-modules and micro-support, Annals of Math. (latest revision 1/05) [arXiv:math/0112251]
  4. Leslie D. Saper, L2-cohomology of locally symmetric spaces. I, Pure and Applied Mathematics Quarterly, vol. 1 no. 4 (2005), pp. 889–937 [MR2201005], [arXiv:math/0412353]
  5. Leslie D. Saper, $\mathscr L$-modules and the conjecture of Rapoport and Goresky-MacPherson, in Formes Automorphes (I) -- Actes du Semestre du Centre Émile Borel, printemps 2000, Astérisque, edited by J. Tilouine, H. Carayol, M. Harris, M.-F. Vignéras, vol. 298 (2005), pp. 319--334, Société Mathématique de France [MR2141706], [arXiv:math/0112250]  [abs]
  6. Leslie D. Saper, Geometric rationality of equal-rank Satake compactifications, Math. Res. Lett., vol. 11 no. 5 (2004), pp. 653–671 [MR2106233], [arXiv:math/0211138]  [abs]
  7. Leslie D. Saper, On the cohomology of locally symmetric spaces and of their compactifications, in Current developments in mathematics, 2002, edited by David Jerison, George Lusztig, Barry Mazur, Tom Mrowka, Wilfried Schmid, Richard Stanley, & S.-T. Yau, Current developments in mathematics, 2002 (2003), pp. 219–289, Int. Press, Somerville, MA (reprinted in Lie Groups and Automorphic Forms, edited by L. Ji, et al., AMS/IP Studies in Advanced Mathematics, vol. 37, 2006.) [MR2062320], [arXiv:math/0306403]  [abs]
  8. Leslie D. Saper, Tilings and finite energy retractions of locally symmetric spaces, Comment. Math. Helv., vol. 72 (1997), pp. 167-202 [MR99a:22019]
  9. Leslie D. Saper, L2-cohomology of the Weil-Petersson metric, Mapping Class Groups and Moduli Spaces of Riemann Surfaces (C.-F. Bödigheimer and R. Hain, eds.), Contemporary Mathematics, vol. 150, Amer. Math. Soc., Providence, 1993, pp. 345-360 [MR94j:32014]
  10. Leslie D. Saper, L2-cohomology of Kähler varieties with isolated singularities, J. of Differential Geometry, vol. 36 no. 1 (1992), pp. 89–161 [MR93e:32038]
  11. Leslie D. Saper and Mark Stern, Appendix to: On the shape of the contribution of a fixed point on the boundary. The case of Q-rank one, by M. Rapoport, in The Zeta Functions of Picard Modular Surfaces, edited by R. Langlands and D. Ramakrishnan (1992), Les Publications CRM, Montréal (pp. 489-491.) [MR93e:11070b]
  12. Nathan Habegger and Leslie D. Saper, Intersection cohomology of cs-spaces and Zeeman's filtration, Inventiones Math. 105 (1991), pp. 247-272 [MR92k:55010]
  13. Leslie D. Saper and Steve Zucker, An introduction to L2-cohomology, Several Complex Variables and Complex Geometry (E. Bedford et al., eds.), Proc. Symp. Pure Math., vol. 52, Part 2, Amer. Math. Soc., Providence, 1991, pp. 519-534 [MR92k:14023]
  14. Leslie D. Saper, L2-cohomology of algebraic varieties, Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto (I. Satake, ed.), vol. 1, Springer-Verlag, New York, 1991, pp. 735-746 [MR93e:32037]
  15. Leslie D. Saper and Mark Stern, L2-cohomology of arithmetic varieties, Annals of Math. 132 (1990), pp. 1-69 [MR91m:14027]
  16. Leslie D. Saper and Mark Stern, L2-cohomology of arithmetic varieties, Proc. Nat. Acad. Sci., vol. 84 (1987), pp. 5516-5519 [MR89g:32052]
  17. Leslie D. Saper, L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities, Inventiones Math. 82 (1985), pp. 207-255 [MR87h:32029]

Schaeffer, David G

  1. K. Gonzales, Omur Kayikci, D.G. Schaeffer, and P. Magwene, Modeling mutant phenotypes and oscillatory dynamics in the \emph{Saccharomyces cerevisiae} cAMP-PKA pathway, PLoS Computational Biology (Winter, 2010)
  2. S. Payne, B. Li, H. Song, D.G. Schaeffer, and L. You, Self-organized pattern formation by a pseudo-Turing mechanism (Winter, 2010)
  3. S. Dai and D.G. Schaeffer, Bifurcation in a modulation equation for alternans in a cardiac fiber, ESAIM Mathematical modelling and numerical analysis, vol. 44 no. 6 (Winter, 2010)
  4. Y. Farjoun, D.G. Schaeffer, The hanging thin rod: a singularly perturbed eigenvalue problem, SIAM Sppl. Math. (July, 2010)
  5. S. Dai and D.G. Schaeffer, Chaos in a one-dimensional model for cardiac dynamics, Chaos, vol. 20 no. 2 (June, 2010)
  6. D.G. Schaeffer and Shu Dai, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber, SIAM Applied Math, vol. 69 no. 3 (December, 2008) [doi]
  7. D.G. Schaeffer, M. Beck, C. Jones, and M. Wechselberger, Electrical waves in a one-dimensional model of cardiac tissue, SIAM Applied Dynamical Systems, vol. 7 no. 4 (December, 2008) [doi]
  8. D.G. Schaeffer and R. Iverson, Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback, SIAM Applied Math, vol. 69 no. 3 (December, 2008) [doi]
  9. D.G. Schaeffer, J. Cain, Shortening of action potential duraction near an insulating boundary, Math Medicine and Biology, vol. 25 no. 21--36 (2008)
  10. D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, On spiking models of synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 553--569 (2008)
  11. D.G. Schaeffer, W. Ying, X. Zhao, Asymptotic approximation of an ionic model for cardiac restitution, Nonlinear Dynamics, vol. 51 (2008), pp. 189--198
  12. D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, Annular patterns in reaction-diffusion systems and their implications for neural-glial interactions (2008)
  13. D.G. Schaeffer, X. Zhao, Alternate pacing of border-collision period-doubling bifurcations, Nonlinear Dynamics, vol. 50 (2007), pp. 733--742
  14. D.G. Schaeffer, C. Berger, D. Gauthier, H. Dobrovolny, W. Krassowska, X. Zhao, Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics, Phys. Rev. Lett, vol. 99 (2007), pp. 058101
  15. D.G. Schaeffer, C. Berger, D. Gauthier, X. Zhao, Small-signal amplification of period-doubling bifurcations in smooth iterated mappings, Nonlinear Dynamics, vol. 48 (2007), pp. 381--389
  16. D.G. Schaeffer, M Shearer, and T. Witelski, Boundary-value problems for hyperbolic partial differential equations related to steady granular flow, Math. and Mech. of Solids, vol. 12 (2007), pp. 665--699
  17. D.G. Schaeffer, J. Cain, D. Gauthier,S. Kalb, W. Krassowska, R. Oliver, E. Tolkacheva, W. Ying, An ionically based mapping model with memory for cardiac restitution, Bull Math Bio, vol. 69 (2007), pp. 459--482
  18. D.G. Schaeffer, M. Matthews, P. Gremaud, On the computation of steady hopper flows III: Comparison of von Mises and Matsuoka-Nakai materials", J Comp. Phy., vol. 219 (2006), pp. 443-454
  19. D.G. Schaeffer, S. Kalb, E. Tolkacheva, D. Gauthier, W. Krassowska, Features of the restitution portrait for mapping models with an arbitrary amount of memory, Chaos, vol. 15 (2005), pp. 023701--
  20. D.G. Schaeffer, B. Tighe, J. Socolar, G. Michener, M. Huber, Force distribution in granular media, PRE, vol. 72 (2005), pp. 031306
  21. D.G. Schaeffer, J. Cain, E. Tolkacheva, D. Gauthier, Rate-dependent waveback velocity of cardiac action potentials in a done-dimensional cable, Phys Rev E, vol. 70 (2004), pp. 061906--?
  22. David G. Schaeffer, J.V. Matthews, A steady-state, hyperbolic free boundary problem for a granular-flow model, SIAM J. Math Analysis, vol. 36 (2004), pp. 256-271
  23. David G. Schaeffer, M. Shearer, T. Witelski, One-dimensional solutions of an elastoplasticity model of granular material, Math. Models and Methods in Appl. Sciences, vol. 13 (2003), pp. 1629--1671
  24. Colleen C. Mitchell, David G. Schaeffer, A two-current model for the dynamics of cardiac membrane, Bulletin Math Bio, vol. 65 (2003), pp. 767--793
  25. David G. Schaeffer, E. Tolkacheva, D. Gauthier, W Krassowska, Condition for alternans and stability of the 1:1 response pattern in a 'memory' model of paced cardiac dynamics, Phys Rev E, vol. 67 (2003), pp. 031904
  26. David G. Schaeffer, Review of W. Cheney's "Analysis for applied mathematics", Amer. Math Monthly, vol. 110 (2003), pp. 550
  27. Pierre Gremaud, John V. Matthews, David G. Schaeffer, Secondary circulation in granular flow through a nonaxisymmetric hopper, SIAM J Appl. Math, vol. 64 (2003), pp. 583--600
  28. D.G. Schaeffer, E. Tolkacheva, D. Gauthier, W. Krassowska, Condition for alternans and stability of the 1:1 response pattern in a memory model of paced cardiac dynamics, Phys Rev E, vol. 67 (2003), pp. 031904
  29. David G. Schaeffer, Elena Tolkacheva, Colleen Mitchell, Analysis of the Fenton-Karma model through a one-dimensional map, Chaos, vol. 12 (2002), pp. 1034-1042
  30. David G. Schaeffer, J. Socolar, P. Claudin, J.-P. Bouchard, Directed force chain models and stress reponse in static granular materials, Euro. Phys. J. E, vol. 7 (2002), pp. 353--370
  31. D.G. Schaeffer, E. Tolkacheva, D. Gauthier, and C. Mitchell, Analysis of the Fenton-Karma model through approximation by a one-dimensional map, Chaos, vol. 12 (2002), pp. 1034
  32. Witelski, Thomas P. and Schaeffer, David G. and Shearer, Michael, A discrete model for an ill-posed nonlinear parabolic PDE, Phys. D, vol. 160, no. 3-4, pp. 189--221, 2001 [MR1872040]
  33. G. Metcalfe, L. Kondic, D. Schaeffer, S. Tennakoon, and R. Behringer, Granular friction and the fluid-solid transition for shaken granular materials, Phys. Rev. E 65 (2002)
  34. Hayes, Brian T. and Schaeffer, David G., Stress-controlled shear waves in a saturated granular medium, European J. Appl. Math., vol. 11, no. 1, pp. 81--94, 2000 [MR2000k:74037]
  35. David G Schaeffer, M. Sexton, J. Socolar, Force Distribution in a Scalar Model for Non-Cohesive Granular Material, Phys. Rev. Lett. E 60 (1999), 1999-2008
  36. Gremaud, Pierre Alain and Schaeffer, David G. and Shearer, Michael, Numerical determination of flow corrective inserts for granular materials in conical hoppers, Internat. J. Non-Linear Mech., vol. 35, no. 5, pp. 869--882, 2000 [MR2001a:76129]
  37. Hayes, Brian T. and Schaeffer, David G., Plane shear waves under a periodic boundary disturbance in a saturated granular medium, Phys. D, vol. 121, no. 1-2, pp. 193--212, 1998 [MR99g:73052]
  38. Howle, Laurens and Schaeffer, David G. and Shearer, Michael and Zhong, Pei, Lithotripsy: the treatment of kidney stones with shock waves, SIAM Rev., vol. 40, no. 2, pp. 356--371 (electronic), 1998 [MR99d:92009]
  39. David G Schaeffer, M. Shearer, A Simple Model for Stress Fluctuations in Plasticity, with Application to Granular Materials, SIAM J. Appl. Math. 58(1998), 1791-1807.
  40. G. Tardos, M.I. Khan, David G Schaeffer, Forces On a Slowly Rotating, Rough Cylinder in a Couette Device Containing a Dry, Frictional Powder, Physics of Fluids 10(1998), 335-341.
  41. Schaeffer, David G. and Shearer, Michael, The influence of material non-uniformity preceding shear-band formation in a model for granular flow, European J. Appl. Math., vol. 8, no. 5, pp. 457--483, 1997 [MR98g:73016]
  42. M. K. Gordon, David G Schaeffer, M. Shearer, Plane Shear Waves in a Fully Saturated Granular Medium with Velocity-and Stress-Controlled Boundary Conditions, Int. J. Nonlinear Mechancis 32(1997), 489-503.
  43. P. Gremaud, David G Schaeffer, Ml. Shearer, Granular Flow Past a Binsert, Report to Jenike & Johanson, Inc.
  44. David G Schaeffer, M. Shearer, Models of Stress Fluctuations in Granular Materials, Powders and Grains, R.P. Behringer and J. Jenkins (eds.), Balkema, 1997.
  45. Shearer, Michael and Schaeffer, David G., Riemann problems for $5\times 5$ systems of fully non-linear equations related to hypoplasticity, Math. Methods Appl. Sci., vol. 19, no. 18, pp. 1433--1444, 1996 [MR97m:73028]
  46. Schaeffer, David G., A survey of granular flow, Hyperbolic problems: theory, numerics, applications (Stony Brook, NY, 1994), pp. 63--80, 1996, World Sci. Publishing, River Edge, NJ [MR1446015]
  47. David G Schaeffer, Memoirs From a Small-Scale Course On Industrial Math, Notices AMS, 43(1996), 550-557.
  48. Shearer, Michael and Schaeffer, David G., A class of fully nonlinear $2\times 2$ systems of partial differential equations, Comm. Partial Differential Equations, vol. 20, no. 7-8, pp. 1105--1131, 1995 [MR96b:35133]
  49. Shearer, Michael and Schaeffer, David G., Fully nonlinear hyperbolic systems of partial differential equations related to plasticity, Comm. Partial Differential Equations, vol. 20, no. 7-8, pp. 1133--1153, 1995 [MR96b:35134]
  50. Garaizar, F. Xabier and Schaeffer, David G., Numerical computations for shear bands in an antiplane shear model, J. Mech. Phys. Solids, vol. 42, no. 1, pp. 21--50, 1994 [MR94j:73029]
  51. Gardner, Carl L. and Schaeffer, David G., Numerical simulation of uniaxial compression of a granular material with wall friction, SIAM J. Appl. Math., vol. 54, no. 6, pp. 1676--1692, 1994 [MR95g:76010]
  52. Shearer, Michael and Schaeffer, David G., Unloading near a shear band in granular material, Quart. Appl. Math., vol. 52, no. 3, pp. 579--600, 1994 [MR95m:73030]
  53. F.X. Garzizar, David G Schaeffer, M. Shearer, J. Trangenstein, Formation and Development of Shear Bands in Granular Material, Trans. of 11th Army Conf. on Appl. Math. & Computing.
  54. Shearer, Michael and Schaeffer, David G., The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves, SIAM J. Math. Anal., vol. 24, no. 5, pp. 1111--1144, 1993 [MR95f:73038]
  55. Schaeffer, David G. and Shearer, Michael, Unloading near a shear band: a free boundary problem for the wave equation, Comm. Partial Differential Equations, vol. 18, no. 7-8, pp. 1271--1298, 1993 [MR94i:35203]
  56. Schaeffer, David G. and Schecter, Stephen and Shearer, Michael, Non-strictly hyperbolic conservation laws with a parabolic line, J. Differential Equations, vol. 103, no. 1, pp. 94--126, 1993 [MR94d:35102]
  57. Schaeffer, David G., A mathematical model for localization in granular flow, Proc. Roy. Soc. London Ser. A, vol. 436, no. 1897, pp. 217--250, 1992 [MR93g:73061]
  58. Schaeffer, David G. and Shearer, Michael, Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity, European J. Appl. Math., vol. 3, no. 3, pp. 225--254, 1992 [MR93g:73057]
  59. An, Lian Jun and Schaeffer, David G., The flutter instability in granular flow, J. Mech. Phys. Solids, vol. 40, no. 3, pp. 683--698, 1992 [MR93c:73053]
  60. Wang, Feng and Gardner, Carl L. and Schaeffer, David G., Steady-state computations of granular flow in an axisymmetric hopper, SIAM J. Appl. Math., vol. 52, no. 4, pp. 1076--1088, 1992 [MR93c:73040]
  61. Two phase flows and waves, edited by Joseph, Daniel D. and Schaeffer, David G., pp. xii+164, 1990, Springer-Verlag, New York [MR91e:76008]
  62. Schaeffer, David G. and Shearer, Michael, Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading, Nonlinear evolution equations that change type, pp. 192--217, 1990, Springer, New York [MR92f:73022]
  63. Schaeffer, David G., Mathematical issues in the continuum formulation of slow granular flow, Two phase flows and waves (Minneapolis, MN, 1989), pp. 118--129, 1990, Springer, New York [MR91f:73014]
  64. Schaeffer, David G., Instability and ill-posedness in the deformation of granular materials, Internat. J. Numer. Anal. Methods Geomech., vol. 14, no. 4, pp. 253--278, 1990 [MR91e:73071]
  65. Schaeffer, David G. and Shearer, Michael and Pitman, E. Bruce, Instability in critical state theories of granular flow, SIAM J. Appl. Math., vol. 50, no. 1, pp. 33--47, 1990 [MR90k:73044]
  66. Shearer, Michael and Schaeffer, David G., The quasidynamic approximation in critical state plasticity, Arch. Rational Mech. Anal., vol. 108, no. 3, pp. 267--280, 1989 [MR91d:73031]
  67. Pitman, E. Bruce and Schaeffer, David G., Instability and ill-posedness in granular flow, Current progress in hyberbolic systems: Riemann problems and computations (Brunswick, ME, 1988), pp. 241--250, 1989, Amer. Math. Soc., Providence, RI [MR90k:73037]
  68. Golubitsky, Martin and Stewart, Ian and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. II, pp. xvi+533, 1988, Springer-Verlag, New York [MR89m:58038]
  69. Schaeffer, David G. and Pitman, E. Bruce, Ill-posedness in three-dimensional plastic flow, Comm. Pure Appl. Math., vol. 41, no. 7, pp. 879--890, 1988 [MR89m:73018]
  70. Beale, J. Thomas and Schaeffer, David G., Nonlinear behavior of model equations which are linearly ill-posed, Comm. Partial Differential Equations, vol. 13, no. 4, pp. 423--467, 1988 [MR89h:35329]
  71. Schaeffer, David G. and Shearer, Michael, Riemann problems for nonstrictly hyperbolic $2\times 2$ systems of conservation laws, Trans. Amer. Math. Soc., vol. 304, no. 1, pp. 267--306, 1987 [MR88m:35101]
  72. Pitman, E. Bruce and Schaeffer, David G., Stability of time dependent compressible granular flow in two dimensions, Comm. Pure Appl. Math., vol. 40, no. 4, pp. 421--447, 1987 [MR88i:35170]
  73. Schaeffer, David G., Instability in the evolution equations describing incompressible granular flow, J. Differential Equations, vol. 66, no. 1, pp. 19--50, 1987 [MR88i:35169]
  74. Shearer, M. and Schaeffer, D. G. and Marchesin, D. and Paes-Leme, P. L., Solution of the Riemann problem for a prototype $2\times 2$ system of nonstrictly hyperbolic conservation laws, Arch. Rational Mech. Anal., vol. 97, no. 4, pp. 299--320, 1987 [MR88a:35156]
  75. Schaeffer, David G. and Shearer, Michael, The classification of $2\times 2$ systems of nonstrictly hyperbolic conservation laws, with application to oil recovery, Comm. Pure Appl. Math., vol. 40, no. 2, pp. 141--178, 1987 [MR88a:35155]
  76. Shearer, Michael and Schaeffer, David G., Recent developments in nonstrictly hyperbolic conservation laws, Transactions of the fourth Army conference on applied mathematics and computing (Ithaca, N.Y., 1986), pp. 43--52, 1987, U.S. Army Res. Office, Research Triangle Park, NC [MR905075]
  77. Schaeffer, David G. and Shearer, Michael, Three phase flow in a porous medium and the classification of nonstrictly hyperbolic conservation laws, International workshop on applied differential equations (Beijing, 1985), pp. 154--162, 1986, World Sci. Publishing, Singapore [MR89c:35100]
  78. Shearer, Michael and Schaeffer, David G., Three-phase flow in a porous medium and the classification of non-strictly hyperbolic conservation laws, Transactions of the third Army conference on applied mathematics and computing (Atlanta, Ga., 1985), pp. 509--517, 1986, U.S. Army Res. Office, Research Triangle Park, NC [MR87j:76093]
  79. Schaeffer, David G., Instability in the flow of granular materials, Mathematics applied to fluid mechanics and stability (Troy, N.Y., 1985), pp. 274, 1986, SIAM, Philadelphia, PA [MR869642]
  80. Golubitsky, Martin and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. I, pp. xvii+463, 1985, Springer-Verlag, New York [MR86e:58014]
  81. Golubitsky, M. and Marsden, J. and Schaeffer, D., Bifurcation problems with hidden symmetries, Partial differential equations and dynamical systems, pp. 181--210, 1984, Pitman, Boston, MA [MR86a:58020]
  82. Holder, E. J. and Schaeffer, D., Boundary conditions and mode jumping in the von K\'arm\'an equations, SIAM J. Math. Anal., vol. 15, no. 3, pp. 446--458, 1984 [MR85m:73029]
  83. Schaeffer, David G., Topics in bifurcation theory, Systems of nonlinear partial differential equations (Oxford, 1982), pp. 219--262, 1983, Reidel, Dordrecht [MR85e:58107]
  84. Golubitsky, Martin and Schaeffer, David, A discussion of symmetry and symmetry breaking, Singularities, Part 1 (Arcata, Calif., 1981), pp. 499--515, 1983, Amer. Math. Soc., Providence, RI [MR85b:58018]
  85. Ball, J. M. and Schaeffer, D. G., Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions, Math. Proc. Cambridge Philos. Soc., vol. 94, no. 2, pp. 315--339, 1983 [MR84k:73033]
  86. Golubitsky, Martin and Schaeffer, David, Bifurcations with ${\rm O}(3)$\ symmetry including applications to the B\'enard problem, Comm. Pure Appl. Math., vol. 35, no. 1, pp. 81--111, 1982 [MR83b:58026]
  87. Schaeffer, David, General introduction to steady state bifurcation, Dynamical systems and turbulence, Warwick 1980 (Coventry, 1979/1980), pp. 13--47, 1981, Springer, Berlin [MR83j:58037]
  88. Golubitsky, Martin and Keyfitz, Barbara Lee and Schaeffer, David G., A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula, Comm. Pure Appl. Math., vol. 34, no. 4, pp. 433--463, 1981 [MR82h:58010]
  89. Schaeffer, David G. and Golubitsky, Martin A., Bifurcation analysis near a double eigenvalue of a model chemical reaction, Arch. Rational Mech. Anal., vol. 75, no. 4, pp. 315--347, 1980/81 [MR83b:80010]
  90. Golubitsky, Martin and Keyfitz, Barbara L. and Schaeffer, David, A singularity theory approach to qualitative behavior of complex chemical systems, New approaches to nonlinear problems in dynamics (Proc. Conf., Pacific Grove, Calif., 1979), pp. 257--270, 1980, SIAM, Philadelphia, Pa. [MR82i:80011]
  91. Golubitsky, Martin and Schaeffer, David, A singularity theory approach to steady-state bifurcation theory, Nonlinear partial differential equations in engineering and applied science (Proc. Conf., Univ. Rhode Island, Kingston, R.I., 1979), pp. 229--254, 1980, Dekker, New York [MR82a:58018]
  92. Golubitsky, Martin and Schaeffer, David, A qualitative approach to steady-state bifurcation theory, New approaches to nonlinear problems in dynamics (Proc. Conf., Pacific Grove, Calif., 1979), pp. 43--51, 1980, SIAM, Philadelphia, Pa. [MR81k:58026]
  93. Schaeffer, David G., Qualitative analysis of a model for boundary effects in the Taylor problem, Math. Proc. Cambridge Philos. Soc., vol. 87, no. 2, pp. 307--337, 1980 [MR81c:35007]
  94. Schaeffer, David and Golubitsky, Martin, Boundary conditions and mode jumping in the buckling of a rectangular plate, Comm. Math. Phys., vol. 69, no. 3, pp. 209--236, 1979 [MR81k:35019]
  95. Golubitsky, M. and Schaeffer, D., An analysis of imperfect bifurcation, Bifurcation theory and applications in scientific disciplines (Papers, Conf., New York, 1977), pp. 127--133, 1979, New York Acad. Sci., New York [MR81c:58027]
  96. Golubitsky, M. and Schaeffer, D., A theory for imperfect bifurcation via singularity theory, Comm. Pure Appl. Math., vol. 32, no. 1, pp. 21--98, 1979 [MR80j:58061]
  97. Golubitsky, M. and Schaeffer, D., Imperfect bifurcation in the presence of symmetry, Comm. Math. Phys., vol. 67, no. 3, pp. 205--232, 1979 [MR80j:58017]
  98. Schaeffer, David G., An application of the Nash-Moser theorem to a free boundary problem, Nonlinear partial differential equations and applications (Proc. Special Sem., Indiana Univ., Bloomington, Ind., 1976-1977), pp. 129--143, 1978, Springer, Berlin [MR80c:35067]
  99. Schaeffer, David G., Non-uniqueness in the equilibrium shape of a confined plasma, Comm. Partial Differential Equations, vol. 2, no. 6, pp. 587--600, 1977 [MR58:29210]
  100. Schaeffer, David G., Some examples of singularities in a free boundary, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 4, no. 1, pp. 133--144, 1977 [MR58:24345]
  101. Schaeffer, David G., One-sided estimates for the curvature of the free boundary in the obstacle problem, Advances in Math., vol. 24, no. 1, pp. 78--98, 1977 [MR56:6506]
  102. Guillemin, Victor and Schaeffer, David, On a certain class of Fuchsian partial differential equations, Duke Math. J., vol. 44, no. 1, pp. 157--199, 1977 [MR55:3504]
  103. Schaeffer, David G., Supersonic flow past a nearly straight wedge, Duke Math. J., vol. 43, no. 3, pp. 637--670, 1976 [MR54:1850]
  104. Schaeffer, David G., A new proof of the infinite differentiability of the free boundary in the Stefan problem, J. Differential Equations, vol. 20, no. 1, pp. 266--269, 1976 [MR52:11325]
  105. Schaeffer, David G., Singularities and the obstacle problem, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, pp. 339--340, 1975, Amer. Math. Soc., Providence, R.I. [MR57:10227]
  106. Schaeffer, David G., On the existence of discrete frequencies of oscillation in a rotating fluid, Studies in Appl. Math., vol. 54, no. 3, pp. 269--274, 1975 [MR56:10385]
  107. Schaeffer, David G., An example of generic regularity for a non-linear elliptic equation, Arch. Rational Mech. Anal., vol. 57, pp. 134--141, 1975 [MR52:8649]
  108. Guillemin, V. and Schaeffer, D., Fourier integral operators from the Radon transform point of view, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, pp. 297--300, 1975, Amer. Math. Soc., Providence, R.I. [MR52:1420]
  109. Schaeffer, David G., A stability theorem for the obstacle problem, Advances in Math., vol. 17, no. 1, pp. 34--47, 1975 [MR52:994]
  110. Golubitsky, Martin and Schaeffer, David G., Stability of shock waves for a single conservation law, Advances in Math., vol. 16, pp. 65--71, 1975 [MR51:10889]
  111. Schaeffer, David G., The capacitor problem, Indiana Univ. Math. J., vol. 24, no. 12, pp. 1143--1167, 1974/75 [MR52:14607]
  112. Guillemin, V. and Schaeffer, D., Remarks on a paper of D. Ludwig, Bull. Amer. Math. Soc., vol. 79, pp. 382--385, 1973 [MR53:13800]
  113. Schaeffer, David G., An application of von Neumann algebras to finite difference equations, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971), pp. 183--194, 1973, Amer. Math. Soc., Providence, R.I. [MR49:838]
  114. Schaeffer, David G., A regularity theorem for conservation laws, Advances in Math., vol. 11, pp. 368--386, 1973 [MR48:4523]
  115. Schaeffer, David G., An index theorem for systems of difference operators on a half space, Inst. Hautes \'Etudes Sci. Publ. Math., no. 42, pp. 121--127, 1973 [MR47:9341]
  116. Schaeffer, David G., Approximation of the Dirichlet problem on a half space, Acta Math., vol. 129, no. 3--4, pp. 281--295, 1972 [MR52:16058]
  117. Schaeffer, David G., An application of von Neumann algebras to finite difference equations, Ann. of Math. (2), vol. 95, pp. 117--129, 1972 [MR45:5563]
  118. Coburn, L. A. and Douglas, R. G. and Schaeffer, D. G. and Singer, I. M., $C\sp{\ast} $-algebras of operators on a half-space. II. Index theory, Inst. Hautes \'Etudes Sci. Publ. Math., no. 40, pp. 69--79, 1971 [MR50:10884]
  119. Schaeffer, David G., Wiener-Hopf factorization of the symbol of an elliptic difference operator, J. Functional Analysis, vol. 5, pp. 383--394, 1970 [MR41:7491]
  120. Schaeffer, David G., An extension of Hartogs' theorem for domains whose boundary is not smooth, Proc. Amer. Math. Soc., vol. 25, pp. 714--715, 1970 [MR41:5650]
  121. Schaeffer, David G., The Dirichlet problem with generalized functions as data, Ann. Mat. Pura Appl. (4), vol. 83, pp. 153--174, 1969 [MR41:7271]
  122. Schaeffer, David G., A note on the representation of a solution of an elliptic differential equation near an isolated singularity, Proc. amer. Math. Soc., vol. 23, pp. 450--454, 1969 [MR39:7262]

Schoen, Chad

  1. C. Schoen, An arithmetic ball quotient surface whose Albanese variety is not of CM type, Electron. Res. Announc. Math. Sci., vol. 21 (2014), pp. 132-136, American Institute of Mathematical Sciences
  2. C. Schoen, Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction, in Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds, Fields Institute Communications 67, edited by Laza, R. ; Schuett, M; and Yui, N. (2013), pp. 461-487, Springer, ISBN 978-1-4614-6402-0
  3. C. Schoen, The geometric genus of a desingularized fiber product of elliptic surfaces, Proceedings of the American Mathematical Society, vol. 141 no. 3 (2013), pp. 745-752
  4. C. Schoen, Torsion in the Cohomology of Desingularized Fiber Products of Elliptic Surfaces, Michigan Math. J., vol. 62 (2013), pp. 81-115
  5. C. Schoen, Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number, Compositio Mathematica, vol. 145 (2009), pp. 89-111
  6. C. Schoen, A family of surfaces constructed from genus 2 curves, International Journal of Mathematics, vol. 18 no. 5 (May, 2007), pp. 585-612
  7. C. Schoen and J. Top, Drinfeld modules and torsion in the Chow groups of certain threefolds, Proceedings London Mathematical Society, vol. 95 no. 3 (2007), pp. 545-566
  8. C. Schoen, Albanese standard and albanese exotic varieties, J. London Math. Soc., vol. 74 (2006), pp. 304-320
  9. C. Schoen, Specialization of the torsion subgroup of the Chow group, Mathematische Zeitschrift,, vol. 252 (2006), pp. 11-17
  10. C. Schoen, Fermat covers, Fermat hypersurfaces, and abelian varieties of Fermat type,, Quarterly Journal of Mathematics, vol. 57 no. 4 (2006), pp. 539-554
  11. Chad Schoen, Complex varieties for which the Chow group mod n is not finite, J. Algebraic Geom. 11 (2002), no. 1, 41--100
  12. Chad Schoen, The Chow group modulo l for the triple product of a general elliptic curve, Asian Journal of Mathematics (Special issue for K-L Hua) vol. 4 pp. 987-996 (December 2000)
  13. Chad Schoen, On certain exterior product maps of Chow groups, Mathematical Research Letters, 7, p. 177-194 (2000)
  14. Chad Schoen, Cohomology computations related to the l-adic Abel-Jacobi map modulo l, in The Arithmetic and Geometry of Algebraic Cycles, Kluwer Academic Press p. 433-466 (2000)
  15. Chad Schoen, On the image of the l-adic Abel-Jacobi map for a variety over the algebraic closure of finite field, J. Amer. Math. Soc. 12, p. 795-838 (1999)
  16. Chad Schoen, Addendum to: Hodge classes on self-products of a variety with an automorphism,, Compositio Math. 114, p. 329-336 (1998)
  17. Chad Schoen, An integral analog of the Tate conjecture for one dimensional cycles on varieties over finite fields, Math. Ann., 311, p. 493-500 (1998)
  18. Joe Buhler, Chad Schoen, Jaap Top, Cycles, L-functions and products of elliptic curves, J. reine angew. Math. 492 p. 93-133 (1997)
  19. Chad Schoen, Varieties dominated by product varieties, Int. J. of Math. 7, 541-571 (1996)
  20. Chad Schoen, On the computation of the cycle class map for nulhomologous cycles over the algebraic closure of a finite field, Anal. Scien. Ecole Norm. Sup. 4th serie, t. 28, 1-50 (1995)
  21. B. Gross, Chad Schoen, The modified diagonal cycle on the triple product of a pointed curve, Annales de L'Institut Fourier 45, 649-679 (1995)
  22. M. Ross, Chad Schoen, Stable quotients of periodic minimal surfaces, communications in Analysis and Geometry 2, 451-459 (1994)
  23. Chad Schoen, On Hodge structures and non-representablity of Chow groups, ., Compositio Math. 88 285-316 (1993)
  24. Chad Schoen, Complex multiplication cycles and a conjecture of Bloch and Beilinson, Trans. of A.M.S. 339 87-115 (1993), Trans. of A.M.S. 339 87-115 (1993)
  25. Chad Schoen, Some examples of torsion in the Griffiths group,, Math. Ann. 293, 651-679 (1992)
  26. Chad Schoen, Produkte Abelscher Varietäten und Moduln über Ordnungen,, J. f. d. reine u. angew. Math. 429, 115-123 (1992)

Schott, Sarah

  1. Mark Huber, and Sarah Schott, Random Construction of Interpolating Sets for High Dimensional Integration, Journal of Applied Probability (2013)
  2. Bookman, Rann Bar-On, Benjamin Cooke , and Sarah Schott, (Re)discovering SoTL through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes: Guide to the Scholarship of Teaching and Learning in Mathematics (Fall, 2012)
  3. S.J. Schott, Girls in Math, Encompass Magazine (April, 2011), pp. 14-15 [encompass_sp11]
  4. M. Huber and S. Schott, Using TPA for Bayesian Inference, Bayesian Statistics 9 (2010), Oxford Press [PDF]

Schwartz, Fernando A.

  1. F.A. Schwartz, Existence of outermost apparent horizons with product of spheres topology (2007) [arXiv:0704.2403]
  2. F.A. Schwartz, The zero scalar curvature Yamabe problem on manifolds with boundary, Indiana Univ. Math. J. no. 55 (2006), pp. 1449-1460 [arXiv:math/0605650]
  3. F.A. Schwartz, Yamabe invariants of manifolds with boundary (2006)
  4. P. Dartnell, A. Maass, F. Schwartz, Combinatorial constructions associated, Theoret. Comput. Sci. no. 304 (2003), pp. 485-497 (from undergrad thesis.)

Sharif, Shahed

  1. P. Clark and S. Sharif, Period, index, and potential Sha, Algebra and Number Theory (Fall, 2009), ISSN 1937-0652 [pdf]  [abs]
  2. S. Sharif, Period and index of genus one curves over number fields, Mathematische Annalen (Spring, 2009), ISSN 0025-5831 [pdf]  [abs]
  3. S. Sharif, Curves of prescribed period and index over local fields, edited by David Goss, Journal of Number Theory, vol. 314 no. 1 (Spring, 2007), pp. 157-167, Elsevier, ISSN 0022-314X  [abs]

Sharpe, Eric

  1. Eric Sharpe, Quotient Stacks and String Orbifolds , preprint 2001 [hep-th/0103008]  [abs]
  2. Eric Sharpe, String Orbifolds and Quotient Stacks , preprint 2001 [hep-th/0102211]  [abs]
  3. Eric Sharpe, Recent Developments in Discrete Torsion, Phys. Lett. B 498 (2001) 104-110 [hep-th/0008191]  [abs]
  4. Eric Sharpe, Stacks and D-Brane Bundles , preprint 2001 [hep-th/0102197]  [abs]
  5. Eric Sharpe, Discrete Torsion in Perturbative Heterotic String Theory , preprint 2000 [hep-th/0008184]  [abs]
  6. Eric Sharpe, Analogues of Discrete Torsion for the M-Theory Three-Form , preprint 2000 [hep-th/0008170]  [abs]
  7. Eric Sharpe, Discrete Torsion , preprint 2000 [hep-th/0008154]  [abs]
  8. Tomas Gomez, Eric Sharpe, D-Branes and Scheme Theory , preprint 2000 [hep-th/0008150]  [abs]
  9. Eric Sharpe, Discrete Torsion and Gerbes II , preprint 1999 [hep-th/9909120]  [abs]
  10. Eric Sharpe, Discrete Torsion and Gerbes I , preprint 1999 [hep-th/9909108]
  11. Eric Sharpe, D-Branes, Derived Categories, and Grothendieck Groups, Nucl. Phys. B561 (1999) 433-450 [hep-th/9902116]  [abs]
  12. Robert Bryant, Eric Sharpe, D-Branes and Spin-c Structures, Physics Letters B450 (1999) 353-357 [hep-th/9812084]
  13. Eric Sharpe, Kahler Cone Substructure, Adv. Theor. Math. Phys. 2 (1998) 1441-1462 [hep-th/9810064]
  14. Allen Knutson, Eric Sharpe, Equivariant Sheaves, Chaos, Solitons, and Fractals 10 (1999) 399-412 [hep-th/9804075]
  15. Eric Sharpe, Notes on Bundles on K3s , preprint 1998 [hep-th/9806020]
  16. Eric Sharpe, Conjectures on (0,2) Mirror Symmetry , preprint 1998 [hep-th/9804066]
  17. Allen Knutson, Eric Sharpe, Sheaves on Toric Varieties for Physics, Adv. Theor. Math. Phys. 2 (1998) 865-948 [hep-th/9711036]
  18. Eric Sharpe, Notes on Heterotic Compactifications, Physics Letters B432 (1998) 326-332 [hep-th/9710031]
  19. Eric Sharpe, Extremal Transitions in Heterotic String Theory, Nuclear Physics B513 (1998) 175-197 [hep-th/9705210]
  20. Eric Sharpe, Boundary Superpotentials, Nuclear Physics B523 (1998) 211-231 [hep-th/9611196]

Shipman, Stephen P.

  1. Stephen P. Shipman, Stephanos Venakides, Electromagnetic Bound States, Resonances, and Transmission Anomalies in Photonic Crystal Slabs, Submitted to SIAM J. Appl. Math. [pdf]
  2. Stephen P. Shipman, The Spectral Transform in the Semiclassical Limit of a Finite Discrete NLS Chain, Physica D: Nonlinear Phenomena, Vol. 162, Nos 1-2 (2002), 95-129 [physd]  [abs]
  3. M. Haider, S. Shipman, S. Venakides, Boundary Integral Calculations of Photonic Bandgaps and Resonances for 2-D Lattices with Circular Dielectrics, SIAM J. Appl. Math. , accepted 2002 [pdf]  [abs]
  4. Stephen P. Shipman, WKB Analysis in the Semiclassical Limit of a Discrete NLS System, IMA Proceedings, 2000  [abs]
  5. Stephen P Shipman, Modulated Waves in a Semiclassical Continuum Limit of an Integrable NLS Chain, Communications on Pure and Applied Mathematics, Vol. LIII, No. 2 [ps]  [abs]

Shiu, Anne J

  1. Anne Shiu and Bernd Sturmfels, Siphons in chemical reaction networks, Bulletin of Mathematical Biology, vol. 72 no. 6 (2010), pp. 1448-1463

Sivakoff, David J.

  1. R. Durrett, J.P. Gleeson, A. Lloyd, P.J. Mucha, F. Shi, D. Sivakoff, J. Socolar, C. Varghese, Graph fission in an evolving voter model, PNAS, vol. 109 no. 10 (March 6, 2012), pp. 3682-3687
  2. C.D. Brummitt, S. Chatterjee, P.S. Dey, D. Sivakoff, Jigsaw percolation: What social networks can collaboratively solve a puzzle? (2012) [arXiv:1207.1927]
  3. J. Gravner, C. Hoffman, J. Pfeiffer, D. Sivakoff, Bootstrap percolation on the Hamming torus (2012) [arxiv:1202.5351]
  4. D. Sivakoff, Contact process on random graphs with communities (2012) [arXiv:1210.3434]
  5. D. Sivakoff, Emergence of a Giant Component in Random Site Subgraphs of a d-Dimensional Hamming Torus (2011) [arXiv:1001.1007v2]

Skouibine, Kirill B

  1. Natalia Trayanova, Felipe Aguel, Kirill B. Skouibine, Extension of refractoriness in a model of cardiac defibrillation, Proc. of the Pacific Symp. on Biocomput.:221-233, 1999 [gz]
  2. Kirill B. Skouibine, Wanda Krassowska, Efficient method for modeling defibrillation, Proc. of XXVI Intl. Congress Electrocard., 1999 , accepted 1999 [doc]  [abs]
  3. Kirill B. Skouibine, Natalia A. Trayanova, Peter K. Moore, Success and Failure of the Defibrillation Shock: Insights from a Simulation Study, J. Cardiovasc. Electrophys. , submitted 1999 [dvi]  [abs]
  4. Kirill B. Skouibine, Natalia A. Trayanova, Peter K. Moore, Anode/Cathode make and break phenomena in a model of defibrillation, IEEE Trans. Biomed. Eng., vol. 46, (1999), pp. 769-777 [gz]
  5. Natalia A. Trayanova, Kirill B. Skouibine, Modeling defibrillation: effects of fiber curvature, J. of Electrocardiology, vol. 31 Supplement, (1998), pp. 23-29 [gz]
  6. Natalia A. Trayanova, Kirill B. Skouibine, Peter K. Moore, Virtual electrode effects in defibrillation, Progress Biophys & Mol Biology, vol. 69, (1998), pp. 387-403 [gz]
  7. Natalia A. Trayanova, Kirill B. Skouibine, Felipe Aguel, The role of cardiac tissue structure in defibrillation, Chaos, vol. 8, (1998), pp. 221-233 [gz]

Smith, David A

  1. David A. Smith and L. C. Moore, Calculus: Modeling and Application, 2nd Ed. (August, 2010), Mathematical Association of America (an online, interactive textbook.) [available here]
  2. David Tall, David A. Smith, and Cynthia Piez, Technology and Calculus, in Research on Technology and the Teaching and Learning of Mathematics: Volume 1, Research Syntheses, edited by M. Kathleen Heid and Glendon W. Blume (Summer, 2008), pp. 207-258, Information Age Publishing, Inc., Charlotte, NC, ISBN 978-1-931576-19-2
  3. Lang Moore and David A. Smith, Changing Technology Implies Changing Pedagogy, in A Fresh Start for Collegiate Mathematics: Rethinking the Courses below Calculus, MAA Notes, edited by J. Narayan, et al., vol. 69 (March, 2006), Mathematical Association of America [pdf]
  4. David A. Smith and Lang Moore, The Connected Curriculum Project, The Journal of Online Mathematics and its Applications, vol. 1, no. 3, Dec. 2001 [html]
  5. Jack Bookman, David Malone, Lawrence C. Moore, and David A. Smith, Learning about Online Learning: How Do Students Use Interactive Web-Based Materials?, Proceedings of the 13th International Conference on Technology in Collegiate Mathematics, Gail Goodell, ed., Addison-Wesley, 2002, pp. 31-34
  6. David A. Smith, Welcome to JOMA, Journal of Online Mathematics and its Applications, vol. 1, no. 1, January, 2001 [html]
  7. David A. Smith, The Active/Interactive Classroom, The Teaching and Learning of Mathematics at University Level: An ICMI Study (Derek Holton, et al., eds.), Kluwer Academic Publishers, 2001, pp. 167-178. [available here]
  8. David A. Smith, Renewal in Collegiate Mathematics Education: Learning from Research, Calculus Renewal: Issues for Undergraduate Mathematics Education in the Next Decade (S. Ganter, ed.), Kluwer Academic/Plenum Publishers, 2000, pp. 23-40.
  9. David A. Smith, Renewal in Collegiate Mathematics Education, Documenta Mathematica, Extra Volume ICM 1998 III, 777-786 [available here]
  10. David A. Smith, Learning: The Web: Science Magazine Sites, Journal of Computers in Mathematics and Science Teaching 18 (1999), 89-93 [Web]
  11. David A. Smith, What's significant about a digit?, Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics (G. Goodell, ed.), November 7-10, 1996, Addison-Wesley, 1998
  12. M.R. Colvin, L. C. Moore, W. J. Mueller, David A. Smith, and F. A. Wattenberg, Design, development, and use of web-based interactive instructional materials, Proceedings of the Tenth Annual International Conference on Technology in Collegiate Mathematics (G. Goodell, ed.), November 7-9, 1997, Addison-Wesley, 1999
  13. David A. Smith, Technology transitions in college calculus, Proceedings of the Technology Transitions Calculus Conference (J. Harvey, ed) October 9-12, 1997, MAA Notes series , preprint 1998
  14. David A. Smith, Learning: The Web: Learning from Original Texts, Journal of Computers in Mathematics and Science Teaching 17 (1998), 285-288
  15. David A. Smith, Learning: The Web: Learning from a .com Site, Journal of Computers in Mathematics and Science Teaching 17 (1998), 291-293 [Site]
  16. Lester Coyle, Lang Moore, William Mueller, David A. Smith, et al., Web-Based Learning Materials: Design, Usage, and Resources, Proceedings of the International Conference on the Teaching of Mathematics, 71-73, Wiley, 1998
  17. David A. Smith, Assessment of student learning with an interactive text, Proceedings of the Eighth Annual International Conference on Technology in Collegiate Mathematics (G. Goodell, ed), November 16-19, 1995, Addison-Wesley, 1997
  18. David A. Smith and L. C. Moore, Calculus: Modeling and Application, Houghton Mifflin Co., Single-Variable Chapters, 1996; Multivariable Chapters, 1997
  19. David A. Smith and L. C. Moore, Mathcad for Windows Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1997
  20. Jack Bookman and David A. Smith, Assessment in a technological age, Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics, Nov 17-20, 1994; pp 433-437, Addison-Wesley, 1996
  21. David A. Smith, Thinking aobut learning, learning about thinking, Calculus: The Dynamics of Change (A.W. Roberts, ed.) MAA Notes No. 39, pp 31-37, 1996 [available here]
  22. David A. Smith and L. C. Moore, Project CALC Instructor's Guide, Houghton Mifflin Co., 1996
  23. W. H. Barker, David A. Smith, and L. C. Moore, Mathematica Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1996
  24. R. D. Schori, W. H. Barker, David A. Smith, and L. C. Moore, Maple V Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1996
  25. L. D. Blake, David A. Smith, and L. C. Moore, HP-48 Graphing Calculator Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1996
  26. David A. Smith, L. D. Blake, L. C. Moore, and S. Morris, TI-82/85 Graphing Calculator Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1996
  27. P. Lestmann, David A. Smith, and L. C. Moore, Derive Laboratory Manual to accompany Calculus: Modeling and Application, Houghton Mifflin Co., 1996
  28. David A. Smith, Learning Software: Retrospective, UME Trends 7 (6) (Jan., 1996), 6-7
  29. David A. Smith, K. Stroyan, D. Mathews, J. Uhl, and L. Senechal, Learning Software: Computers in Calculus Reform, UME Trends 6 (6) (Jan., 1995), 14-15, 31
  30. David A. Smith, Trends in calculus reform, Preparing for a New Calculus (A. Solow et al., eds.), MAA Notes No. 36, pp. 3-13, 1994 [available here]
  31. David A. Smith, Opinion: What's better about reformed calculus?, UME Trends 3 (2) (May, 1991), 5-6. Reprinted in You're the Professor, What Next? (B. A. Case, ed.), MAA Notes No. 35, 1994, pp. B-III-48 to B-III-50
  32. David A. Smith and L. C. Moore, Project CALC (Minicourse), pp. 349-355 in Proceedings of the Fifth Annual International Conference on Technology in Collegiate Mathematics (Lewis Lum, ed.), Addison-Wesley, 1994
  33. David A. Smith, Learning Software: Help from Abroad: Maths&Stats, UME Trends 6 (2) (May, 1994), 4-5
  34. David A. Smith, Learning Software: MPP and MPP3D, UME Trends 5 (4) (Sept., 1993), 6-7
  35. David A. Smith and L. C. Moore, The Calculus Reader, Parts I, II, and III, Revised Preliminary Edition, D. C. Heath and Co., 1993  [abs]
  36. David A. Smith and L. C. Moore, MathCAD/Derive Laboratory Manual to accompany The Calculus Reader, Parts I, II, and III, Revised Preliminary Edition, D. C. Heath and Co., 1993
  37. David A. Smith, Calculus and Computers, UME Trends 4 (5) (Dec., 1992), 7
  38. David A. Smith, Question for the future: What about the horse?, Proceedings of the St. Olaf College Conference on Symbolic Computer Systems, October, 1989; reprinted in Symbolic Computation in Undergraduate Mathematics Education (Z. Karian, ed.), MAA Notes No. 24, 1992, pp. 1-5
  39. L. C. Moore and David A. Smith, Project CALC: Calculus as a laboratory course, pp. 16-20 in Computer Assisted Learning, Lecture Notes in Computer Science 602, 1992
  40. L. C. Moore and David A. Smith, Project CALC: An integrated laboratory course, pp. 81-92 in The Laboratory Approach to Teaching Calculus (L. Carl Leinbach, et al., eds.), MAA Notes No. 20, 1991
  41. David A. Smith, Learning Software: Chaos in the Classroom, UME Trends 3 (2) (May, 1991), 2
  42. David A. Smith, Learning Software: PSL Explorer, UME Trends 2 (6) (Jan., 1991), 2
  43. David A. Smith, Learning Software: GyroGraphics 2.2, UME Trends 2 (4) (Oct., 1990), 2
  44. D. Kraines, V. Kraines, and David A. Smith, Classroom computer capsules, The College Mathematics Journal 20 (1989), 433-438; 21 (1990), 142-145; 21 (1990), 240-241; 21 (1990), 327-329; 21 (1990), 415-419
  45. David A. Smith, Programming in calculus, Proceedings of the Second Annual Conference on Technology in Collegiate Mathematics, November 2-4, 1989, Addison-Wesley, 1990
  46. L. C. Moore and David A. Smith, Project CALC, pp. 51-74 in Priming the Calculus Pump: Innovations and Resources (T. W. Tucker, ed.), MAA Notes No. 17, 1990
  47. G. D. Gopen and David A. Smith, What's an assignment like you doing in a course like this?: Writing to learn mathematics, Chapter 17 in Writing to Learn Mathematics and Science (P. Connally and T. Vilardi, eds.), Teachers College Press, 1989; reprinted in The College Mathematics Journal 21 (1990), 2-19
  48. Warren Page and David A. Smith, Learning Software: Phaser, UME Trends 1 (6) (Jan., 1990), 2
  49. David A. Smith, Learning Software: MicroCalc 4.0, UME Trends 1 (4) (Nov., 1989), 2
  50. David A. Smith, L. C. Moore, and J. Goebel, A computer lab for calculus , preprint 1989
  51. David A. Smith, What's significant about a digit?, The College Mathematics Journal 20 (1989), 136-139
  52. David A. Smith, D. Kraines, and V. Kraines, Software in the classroom: The time is right , preprint 1989
  53. David A. Smith, Learning Software: MathCAD 2.0, UME Trends 1 (2) (May, 1989), 2
  54. David A. Smith, G. J. Porter, L. C. Leinbach, and R. H. Wenger (eds.), Computing and Mathematics: The Use of Computers in Undergraduate Mathematics Instruction, MAA Notes No. 9, Mathematical Association of America, 1988
  55. David A. Smith, A minimalist approach to computer use in calculus, Computing and Mathematics: The Use of Computers in Undergraduate Mathematics Instruction, MAA Notes No. 9, 1988
  56. D. P. Kraines and David A. Smith, A computer in the classroom: The time is right, The College Mathematics Journal 19 (1988), 261-267
  57. R. S. Cunningham and David A. Smith, The compleat mathematics software database, The College Mathematics Journal 19 (1988), 268-289
  58. David A. Smith, W. F. Ford, and A. Sidi, Extrapolation methods for vector sequences, SIAM Review 29 (1987), 199-233; 30 (1988), 623-624
  59. David A. Smith, Symbolic computation without a computer algebra system , preprint 1988
  60. David A. Smith, The role of the computer in calculus reform , preprint 1988
  61. David A. Smith, Newton's n-th root method without derivatives, The College Mathematics Journal 18 (1987), 403-406
  62. David A. Smith, Logo serendipity in calculus lab, Logo Exchange 5, no. 8 (April, 1987), 16-17
  63. R. S. Cunningham and David A. Smith, A mathematics software database update, The College Mathematics Journal 18 (1987), 242-247
  64. David A. Smith and L. C. Moore, Review of Toward a Lean and Lively Calculus (R. G. Douglas, ed.), The College Mathematics Journal 18 (1987), 439-442
  65. David A. Smith, Logical Problem Solving: Logo Microworlds and Student Guide, Self-published, 1986
  66. David A. Smith, Students benefit from computer-based learning environments, SIAM News, March, 1986, 4, 16-17
  67. R. S. Cunningham and David A. Smith, A mathematics software database, The College Mathematics Journal 17 (1986), 255-266
  68. David A. Smith, It's Showtime!, Collegiate Microcomputer 4 (1986), 261-268
  69. A. Sidi, W. F. Ford, and David A. Smith, Acceleration of convergence of vector sequences, SIAM Journal on Numerical Analysis 23 (1986), 178-196
  70. David A. Smith, Alternate solutions to educational problems , preprint 1986
  71. David A. Smith, Apple Logo: The Book, Collegiate Microcomputer 4 (1986) 345-351, 381
  72. David A. Smith, Descriptive Models for Perception of Optical Illusions, I and II, UMAP Units 534 and 535, Undergraduate Mathematics and its Applications Project, 1981  [abs]
  73. David A. Smith, Editorial note: Three observations on a theme, Mathematics Magazine 58 (1985), 146
  74. David A. Smith and Jack Bookman, The Electronic Study Guide: Precalculus Algebra, The College Mathematics Journal 16 (1985), 218-221
  75. David A. Smith, A modest experiment in mathematics education , preprint 1985
  76. David A. Smith, Interface: Calculus and the Computer, Houghton Mifflin Co.,1976; second edition, Saunders College Publishing, 1984
  77. David A. Smith, Apple II mathematics software, CIMSE Newsletter, November 1984
  78. David A. Smith, T. Fessler, and W. F. Ford, HURRY: An acceleration algorithm for scalar sequences and series, ACM Transactions on Mathematical Software 9 (1983), 346-357
  79. David A. Smith, Using computer graphics to teach mathematics, Pipeline 7, no. 1, Spring, 1982. pp. 14-17  [abs]
  80. David A. Smith and W. F. Ford, Numerical comparisons of nonlinear accelerators, Mathematics of Computation 38 (1982), 481-499
  81. David A. Smith, CONDUIT announces new packages in mathematics, CIMSE Newsletter 1, no. 4, February 1982, pp. 5-6
  82. Roy Myers and David A. Smith, SURFACE for the Apple, CONDUIT, 1981
  83. T. M. Gallie, C. H. Lochmuller, S. S. Poss, M. D. Ray, J. O. Rousseau, and David A. Smith, The Duke personal computer project: A strategy for computing literacy, Perspectives in Computing 1 (February, 1981), 4-8  [abs]
  84. F. J. Murray, R. E. Hodel, M. J. Hodel, T. M. Gallie, R.C. Barr, David A. Smith, and D. A. Smith II, MATHPROGRAM: A Computer Supplement for Calculus, CONDUIT, 1980
  85. David A. Smith, A geometric proof of the sum-of-cubes formula , preprint 1980
  86. David A. Smith, A seminar in mathematical model building, American Mathematical Monthly 86 (1979), 777-783
  87. David A. Smith and W. F. Ford, Acceleration of linear and logarithmic convergence, SIAM Journal on Numerical Analysis 16 (1979), 223-240
  88. H. L. Dershem and David A. Smith, Mathematics and statistics, Computers in Teaching: 1979 State of the Art Report of Instructional Computing, CONDUIT, 1980
  89. David A. Smith and W. F. Ford, On the Cabay-Jackson-Mešina algorithm , preprint 1979
  90. David A. Smith, SURFACE: A Graphics Module for Multivariable Calculus, CONDUIT, 1978
  91. R. C. Barr, T. M. Gallie, Jr., M. J. Hodel, R. E. Hodel, F. J. Murray, and David A. Smith, A general problem solver for mathematics courses, Proceedings of the Ninth Conference on Computers in the Undergraduate Curricula, Denver, 1978, pp. 23-35
  92. David A. Smith, A descriptive model for perception of optical illusions, Journal of Mathematical Psychology 17 (1978), 64-85
  93. David A. Smith, The homicide problem revisited, The Two-Year College Mathematics Journal 9 (1978), 141-145
  94. David A. Smith, An explicit formula for future tenure ratios, AAUP Bulletin 64 (1978), 126-127
  95. David A. Smith and W. F. Ford, Nonlinear acceleration of linear convergence , preprint 1978
  96. David A. Smith and W. F. Ford, Transformation of divergent series by convergence accelerators , preprint 1978
  97. David A. Smith, Inexpensive computer graphing of surfaces, Mathematics Magazine 50 (1977), 143-147
  98. G.-C. Rota and David A. Smith, Enumeration under group action, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Serie IV, 4 (1977), 637-646  [abs]
  99. David A. Smith, Human population growth: Stability or explosion?, Mathematics Magazine 50 (1977), 186-197  [abs]
  100. David A. Smith, Computer correction of optical illusions, Creative Computing 3, No. 5 (Sep.-Oct., 1977), 123-125 [showpage.php]
  101. David A. Smith, Further comments on "On the evaluation of the sum of naxn with applications to Z transforms", IEEE Transactions on Automatic Control AC22 (1977), 993
  102. David A. Smith, CONDUIT: An information pipeline, Mathematics News, Houghton Mifflin, Jan., 1977
  103. David A. Smith, H. L. Dershem, D. McLaughlin, and A. Ziebur, Computers in teaching mathematics, Computers in Undergraduate Teaching: 1977 CONDUIT State of the Art Reports in Selected Disciplines, CONDUIT, 1977, pp. 147-180
  104. David A. Smith, Numerical differentiation for calculus students, American Mathematical Monthly 82 (1975), 284-287
  105. David A. Smith, Case study: Duke University, pp. 7-8 in Calculus and Computing (S. J. Garland, ed.), American Mathematical Society, 1975
  106. David A. Smith, Computer calculus without programming , preprint 1975
  107. G.-C. Rota and David A. Smith, Fluctuation theory and Baxter algebra, Symposia Mathematica 9 (1972), 179-201
  108. David A. Smith, Generalized arithmetic function algebras, The Theory of Arithmetic Functions, Lecture Notes in Mathematics 251, Springer-Verlag, 1972, 205-245
  109. David A. Smith, Bivariate function algebras on posets, Journal fuer die reine und angewandte Mathematik 251 (l971), 100-109
  110. David A. Smith, A calculus-with-computer experiment, Educational Studies in Mathematics 3 (1970), 1-11
  111. David A. Smith, Multiplication operators on incidence algebras, Indiana University Journal of Mathematics 20 (1970), 369-383
  112. David A. Smith, The number of 4 by 4 magic squares , preprint 1970
  113. David A. Smith, Incidence functions as generalized arithmetic functions II, Duke Mathematical Journal 36 (1969), 15-30
  114. David A. Smith, Incidence functions as generalized arithmetic functions III, Duke Mathematical Journal 36 (1969), 353-368
  115. David A. Smith, Baxter algebras, partition lattices, and Polya theory , preprint 1969
  116. David A. Smith and A. Giovannini, On algebraic structures associated with the 3-j and 6-j symbols, Spectroscopic and Group Theoretical Methods in Physics (F. Bloch, et al., eds.), Racah Memorial Volume, North-Holland Publishing Co., 1968, pp. 87-97
  117. David A. Smith, Circularly generated abelian groups, Fibonacci Quarterly 6 (1968), 36-45
  118. David A. Smith, On the construction of a distributive lattice from a partially ordered set with DCC, Commentationes Mathematicae Universitatis Carolinae 9 (l968), 515-525
  119. David A. Smith, Incidence functions as generalized arithmetic functions I, Duke Mathematical Journal 34 (1967), 617-634
  120. David A. Smith, The real roots of the equation (x - 1)k = xk-1, American Mathematical Monthly 73 (1966), 754-757
  121. David A. Smith, A basis algorithm for finitely generated abelian groups, Mathematical Algorithms 1 (1966), 13-26
  122. David A. Smith, On semigroups, semirings, and rings of quotients, Journal of Science of the Hiroshima University Ser. A-l, 30 (1966), 123-130
  123. David A. Smith, Chevalley bases for Lie modules, Transactions of the American Mathematical Society 115 (1965), 283-299
  124. David A. Smith, On fixed points of automorphisms of classical Lie algebras, Pacific Journal of Mathematics 14 (l964), 1079-1089

Smolka, Linda B.

  1. L. B. Smolka, A. Belmonte, D. M. Henderson, T. P. Witelski, Exact solution for the extensional flow of a viscoelastic filament, European Journal of Applied Mathematics (November, 2003)  [abs]
  2. L. B. Smolka and A. Belmonte, Drop pinch-off and filament dynamics of wormlike micellar fluids, J. Non-Newtonian Fluid Mech., vol. 115 (2003), pp. 1-25  [abs]
  3. L.B. Smolka and A. Belmonte, Bead Formation Along a Thinning Viscoelastic Filament, Rheologica Acta , submitted 2002
  4. L. B. Smolka and A. Belmonte, Effects of salt on filament dynamics during drop pinch-off in xanthan gum solutions, Phys. Fluids , submitted 2001  [abs]
  5. D.M. Henderson, H. Segur, L. B. Smolka, and M. Wadati, The motion of a falling liquid filament, Phys. Fluids 12, 550-565 (2000)  [abs]
  6. D.M. Henderson, W.G. Pritchard, and L. B. Smolka, On the pinch-off of a pendant drop of viscous fluid, Phys. Fluids 9, 3188-3200 (1997)  [abs]

Sreekantan, Ramesh

  1. Ramesh Sreekantan, A note on the conjectures of Tate and Beilinson for products of Elliptic curves , preprint 2000
  2. Ramesh Sreekantan, Indecomposable elements of higher chow groups of products of curves , preprint 2000
  3. Ramesh Sreekantan, Relations among Heegner Cycles on Families of Abelian Surfaces, to appear in Comp. Math. , preprint 1999 [html]  [abs]
  4. Ramesh Sreekantan, Higher Chow groups and CM cycles in families of Abelian surfaces, Doctoral Dissertation: University of Chicago , preprint 1998

Stern, Mark A

  1. Anda Degeratu and M.A. Stern, Witten spinors on nonspin manifolds, Communications of Mathematical Physics 2013 (October, 2013) [DG/1112.0194], [0194]  [abs]
  2. B. Charbonneau and M. Stern, Asymptotic Hodge Theory of Vector Bundles, Communications in Analysis and Geometry (August, 2013) [DG/1111.0591], [0591]  [abs]
  3. Ilarion V. Melnikov, Callum Quigley, Savdeep Sethi, M.A. Stern, Target Spaces from Chiral Gauge Theories, JHEP vol. 1302 no. 111 (2013) (December 12, 2012) [1212]  [abs]
  4. M.A. Stern, Geometry of stable Yang--Mills connections, in Advanced Lectures in Mathematics Volume 21: Advances in Geometric Analysis (July, 2012), ISBN ISBN 9781571462480  [abs]
  5. Callum Quigley, Savdeep Sethi, and Mark Stern, Novel Branches of (0,2) Theories, JHEP, vol. 1209 no. 064 (2012), ISSN 1029-8479 [3228]  [abs]
  6. M.A. Stern, Geometry of minimal energy Yang-Mills connections, Journal of Differential Geometry, vol. 86 no. 1 (2010), pp. 163-188 [arXiv:0808.0667]  [abs]
  7. M.A. Stern, Fixed point theorems from a de Rham perspective, Asian Journal of Mathematics (2009)
  8. M.A. Stern, Spectral asymmetry for manifolds of special holonomy (2009)
  9. M.A. Stern, B fields from a Luddite perspective, in Proceedings of 3rd International Symposium on Quantum Theory and Symmetries (QTS3) (2004)
  10. M.A. Stern, Mechanical B fields and D branes (2003) [hep-th /0310020]
  11. S. Paban, S. Sethi, and M. Stern, Non-commutativity and Supersymmetry, JHEP, 0203, (2002), 012 [0201259]
  12. Mark A. Stern, Quantum Mechanical Mirror Symmetry, D Branes, and B fields, eprint [02091292]
  13. R. Britto-Pacumio, A. Maloney, M. Stern, and A. Strominger, Spinning bound states of two and three black holes, JHEP 0111 (2001) 054 [hep-th/0106099]
  14. Bill Pardon, Mark A Stern, Pure Hodge structures on the L2-cohomology of varieties with isolated singularities., J. Reine Angew. Math. 533 (2001) 55-80.
  15. S. Sethi, Mark A. Stern, Invariance theorems for supersymmetric Yang-Mills theories, Adv. Theor. Math. Phys. 4 (2000) 487-501 [hep-th/0001189]
  16. Mark A. Stern and Piljin Yi, Counting Yang Mills Dyons with Index Theorems, Phys. Rev. D62:125006,2000 [hep-th/0005275]
  17. Savdeep Sethi, Mark A. Stern, The structure of the D0-D4 bound state, Nucl. Phys. B578 (2000) 163-198 [hep-th/0002131]
  18. Mark A. Stern and Savdeep Sethi, Supersymmetry and the Yang-Mills effective action at finite N, JHEP 06 (1999) 004 [hep-th/99030409]  [abs]
  19. Sonia Paban, Savdeep Sethi, and Mark A. Stern, Summing Instantons in 3 dimensional Yang-Mills theories, Adv. Theor. Math. Phys, vol. 3, (1999). [hep-th/9808119]  [abs]
  20. S. Paban, S. Sethi, Mark A Stern, Constraints from extended supersymmetry in quantum mechanics, Nucl. Phys. B. 534:137-154 (1998)
  21. S. Paban, S. Sethi, Mark A Stern, Supersymmetry and higher derivative terms in the effective action of Yang-Mills, J. High Energy Physics. 06:12 (1998)
  22. S. Sethi, Mark A Stern, D-Brane Bound States Redux, Commun. Math. Phys. 194:675-705 (1998)
  23. S. Sethi, Mark A Stern, A Comment on the Spectrum of H-Monopoles, Phys. Lett. B 398:47-51 (1997)
  24. S. Sethi, Mark A Stern, Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories, Nucl. Phy. B. 457 (1995) 484-510
  25. Mark A Stern, Lefschetz Formulae for Arithmetic Varieties, Inventiones Math. 115, 241-296 (1994)
  26. Mark A. Stern, L^2-Cohomology and index theory of noncompact manifolds, Proceedings of Symposia in Pure Math. 54 (1993), 559-575
  27. L. Saper, Mark A. Stern, Appendix to an article of Rapaport, Zeta functions of Picard Modular Varieties, R.P. Langlands and D. Ramakrishnan ed. CRM, Montreal (1992)
  28. W. Pardon and Mark A. Stern, L^2-d-bar-cohomology of complex projective varieties, J. of American Math. Soc. 4 (1991), 603-621
  29. Mark A. Stern, Eta invariants and hermitian locally symmetric spaces, J.Diff.Geom. 31 (1990), 771-789
  30. L. Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties, Annals of Math. 132 (1990), 1-69
  31. Mark A. Stern, L^2 index theorems on locally symmetric spaces, Inventiones 96 (1989), 231-282
  32. L.Saper and Mark A. Stern, L^2 cohomology of arithmetic varieties, Proc. Natl. Acad. Sci. 84 (1987), 5516-5519
  33. Mark A. Stern, L^2 index theorems on warped products, Thesis, Princeton University, 1984

Strawn, Nathaniel K

  1. J. Cahill, D. Mixon, N. Strawn, Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames (2013)
  2. A. Armagan, D. Dunson, J. Lee, W. Bajwa, N. Strawn, Posterior consistency in linear models under shrinkage priors, Biometrika (2013)
  3. J. Cahill, M. Fickus, D. Mixon, M. Poteet, N. Strawn, Constructing finite frames of a given spectrum and set of lengths, Applied and Computational Harmonic Analysis (2012)
  4. M. Fickus, D. Mixon, M. Poteet., N. Strawn, Constructing all self-adjoint matrices with prescribed spectrum and diagonal, Advances in Computational Mathematics (2012)
  5. N. Strawn, Optimization over finite frame varieties and structured dictionary design, Applied and Computational Harmonic Analysis (2012)
  6. J. Cahill and N. Strawn, Algebraic geometry and finite frames, in Finite Frame Theory, edited by P. G. Casazza and G. Kutyniok (2012), Birkhauser
  7. A. Armagan, R. Saab, L. Carin, D. Dunson, N. Strawn, Finite sample posterior concentration in high-dimensional regression (2012)
  8. H. Zhu, N. Strawn, D. Dunson, Bayesian graphical models for multivariate functional data (2012)
  9. N. Strawn, Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations, Journal of Fourier Analysis and Applications (2011)

Thompson, Andrew

  1. C. Cartis and A. Thompson, An exact tree projection algorithm for wavelets, IEEE Signal Processing Letters, vol. 20 no. 11 (2013), pp. 1028-1031
  2. A. Thompson, Compressive single-pixel imaging, Proceedings of the 2nd IMA Conference on Mathematics in Defence (October, 2011), Defence Academy, Shrivenham, UK
  3. J. Blanchard, C. Cartis, J. Tanner and A. Thompson, Phase transitions for greedy sparse approximation algorithms, Applied and Computational Harmonic Analysis, vol. 30 no. 2 (2011), pp. 188-203
  4. J. Blanchard and A. Thompson, Pushing the RIP phase transition in Compressed Sensing, Proceedings of the European Signal Processing Conference (August, 2010), Aalborg, Denmark
  5. J. Blanchard and A. Thompson, On support sizes of restricted isometry constants, Applied and Computational Harmonic Analysis, vol. 29 no. 3 (2010), pp. 382-390

Topaz, Chad M.

  1. B. Cook, D. Marthaler, C.M. Topaz, A. Bertozzi, and M. Kemp, Fractional bandwidth reacquisition algorithms for VSW-MCM, Proceedings of the ONR Multi-Robot System Workshop , submitted 2002
  2. C.M. Topaz, M. Silber, Resonances and superlattice pattern selection in two-frequnecy forced Faraday Waves, Physica D 172 (2002) 1-29
  3. C.M. Topaz, Pattern formation in two-frequency forced Faraday waves, Ph.D. dissertation (2002)
  4. M. Silber, C.M. Topaz and A.C. Skeldon, Two-frequency forced Faraday waves: Weakly damped modes and pattern selection, Physica D 143 (2000) 205-225

Totz, Nathan

  1. N. Totz, S. Wu, A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem, Communications in Mathematical Physics, vol. 310 no. 3 (2012), pp. 817-883, Springer [arXiv:1101.0545]  [abs]

Trangenstein, John

  1. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X (http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521877275.)  [abs]
  2. with John A. Trangenstein and Chisup Kim, Operator Splitting and Adaptive Mesh Refinement for the Luo-Rudy I Model, Journal of Computational Physics, vol. 196 (2004), pp. 645-679, Elsevier  [abs]
  3. J. Trangenstein and Chisup Kim, Operator Splitting and Adaptive Mesh Refinement for the Luo-Rudy I Model, J. Comp. Phys. (2003) [ps]
  4. Trangenstein, John A. and Bi, Zhuoxin, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation, Proceedings - SPE Symposium on Improved Oil Recovery (2002), pp. 924 - 936, Tulsa, OK, United States  [abs]
  5. J. Trangenstein and Zhuoxin Bi, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Flow in Porous Media, Advances in Water Resources, vol. 25 (2002), pp. 1175--1213 [ps]
  6. Zhuoxin Bi, David Higdon, Herbert Lee and J. Trangenstein, Upscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method, SPE Journal (2002) [ps]
  7. Miller, Cass T. and Christakos, George and Imhoff, Paul T. and McBride, John F. and Pedit, Joseph A. and Trangenstein, John A., Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches, Advances in Water Resources, vol. 21 no. 2 (1998), pp. 77 - 120 [S0309-1708(96)00036-X]  [abs]
  8. Garaizar, F.X. and Trangenstein, J., Adaptive mesh refinement and front-tracking for shear bands in an antiplane shear model, SIAM J. Sci. Comput. (USA), vol. 20 no. 2 (1998), pp. 750 - 79 [S1064827597319271]  [abs]
  9. Garaizar, F. X. and Trangenstein, J., Front Tracking for Shear Bands in an Antiplane Shear Model, Journal of Computational Physics, vol. 131 no. 1 (1997), pp. 54 - [5456]
  10. Hornung, R. D. and Trangenstein, J. A., Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media, Journal of Computational Physics, vol. 136 no. 2 (1997), pp. 522 - [5779]
  11. Khan, Sameer A. and Pope, Gary A. and Trangenstein, John A., Micellar/polymer physical-property models for contaminant cleanup problems and enhanced oil recovery, Transport in Porous Media, vol. 24 no. 1 (1996), pp. 35 - 79  [abs]
  12. Trangenstein, J.A., Adaptive mesh refinement for wave propagation in nonlinear solids, SIAM J. Sci. Comput. (USA), vol. 16 no. 4 (1995), pp. 819 - 39  [abs]
  13. Khan, S.A. and Trangenstein, J.A. and Horning, R.D. and Holing, Kent and Schilling, B.E.R., Application of adaptive mesh-refinement with a new higher-order method in simulation of a north sea micellar/polymer flood, Proceedings of the SPE Symposium on Reservoir Simulation (1994), pp. 531 - 543, San Antonio, TX, USA  [abs]
  14. Trangenstein, John A., Second-order Godunov algorithm for two-dimensional solid mechanics, Computational Mechanics, vol. 13 no. 5 (1994), pp. 343 - 359  [abs]
  15. Trangenstein, J.A. and Pember, R.B., Numerical algorithms for strong discontinuities in elastic-plastic solids, J. Comput. Phys. (USA), vol. 103 no. 1 (1992), pp. 63 - 89 [0021-9991(92)90326-T]  [abs]
  16. Trangenstein, J.A., Analysis of a model and sequential numerical method for thermal reservoir simulation, Proceedings of the Conference on the Mathematics of Oil Recovery (1992), pp. 359 -, Cambridge, Engl
  17. Trangenstein, J.A. and Pember, R.B., The Riemann problem for longitudinal motion in an elastic-plastic bar, SIAM J. Sci. Stat. Comput. (USA), vol. 12 no. 1 (1991), pp. 180 - 207  [abs]
  18. Glass, I.I. and Kaca, J. and Zhang, D.L. and Glaz, H.M. and Bell, J.B. and Trangenstein, J.A. and Collins, J.P., Diffraction of planar shock waves over half-diamond and semicircular cylinders: an experimental and numerical comparison, AIP Conf. Proc. (USA) no. 208 (1990), pp. 246 - 51, Bethlehem, PA, USA  [abs]
  19. Trangenstein, J.A., A second-order algorithm for the dynamic response of soils, Impact Comput. Sci. Eng. (USA), vol. 2 no. 1 (1990), pp. 1 - 39 [0899-8248(90)90002-R]  [abs]
  20. Subramanian, G. and Trangenstein, J. A. and Mochizuki, S. and Shen, E. I-C., EFFICIENT FLUID BEHAVIOR COMPUTATIONS IN A SEQUENTIAL COMPOSITIONAL RESERVOIR SIMULATOR., Society of Petroleum Engineers of AIME, (Paper) SPE (1987), pp. 321 - 327, San Antonio, TX, USA  [abs]
  21. Trangenstein, John A., CUSTOMIZED MINIMIZATION TECHNIQUES FOR PHASE EQUILIBRIUM COMPUTATIONS IN RESERVOIR SIMULATION., Chemical Engineering Science, vol. 42 no. 12 (1987), pp. 2847 - 2863 [0009-2509(87)87051-3]  [abs]
  22. Bell, John B. and Trangenstein, John A. and Shubin, Gregory R., CONSERVATION LAWS OF MIXED TYPE DESCRIBING THREE-PHASE FLOW IN POROUS MEDIA., SIAM Journal on Applied Mathematics, vol. 46 no. 6 (1986), pp. 1000 - 1017  [abs]
  23. Trangenstein, John A., MINIMIZATION OF GIBBS FREE ENERGY IN COMPOSITIONAL RESERVOIR SIMULATION., Society of Petroleum Engineers of AIME, (Paper) SPE (1985), pp. 233 - 246, Dallas, TX, USA  [abs]
  24. TRANGENSTEIN, J. A. and READ, H. E., INELASTIC RESPONSE CHARACTERISTICS OF THE NEW ENDOCHRONIC THEORY WITH SINGULAR KERNEL., vol. 18 no. 11 (1982), pp. 947 - 956  [abs]
  25. Trangenstein, J.A., A finite element method for the Tricomi problem in the elliptic region, SIAM J. Numer. Anal. (USA), vol. 14 no. 6 (1977), pp. 1066 - 77  [abs]
  26. More, J.J. and Trangenstein, J.A., On the global convergence of Broyden's method, Math. Comput. (USA), vol. 30 no. 135 (1976), pp. 523 - 40  [abs]
  27. John Trangenstein and Zhuoxin Bi, Multi_Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation , preprint 2001 [ps]  [abs]
  28. X. Garaizar and John Trangenstein, Adaptive Mesh Refinement and Front Tracking for shear bands in Granular Flow, SIAM Journal on Scientific Computing, vol. 20, (1999), pp. 750-779
  29. G. Christakos, P.T. Imhoff, John F. McBride, C.T. Miller, Joseph A. Pedit, John Trangenstein, Multiple Flow and Transport Modeling in Heterogeneous Porous Media: Challenges and Approaches, Advances in Water Resources 21(1998), 77-120.
  30. F. X. Garaizar and John Trangenstein, Front Tracking for Shear Bands in an Antiplane Shear Model, J. Comp. Phys., vol.131, (1998), pp. 54-69
  31. Bill Allard, John Trangenstein, On the Performance of a Distributed Object Oriented Adaptive Mesh Refinement Code , preprint 1998
  32. R. Hornung, John Trangenstein, Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media, Journal of Computational Physics, 136, 522-545.
  33. S. A. Khan, G.A. Pope, John Trangenstein, Micellar/Polymer Physical Property Models for Contaminant Cleanup Problems and Enhanced Oil Recovery, Transport in Porous Media 24(1996), 35-79.
  34. John Trangenstein, Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids, SIAM J. Sci. Comput. 16(1995), 819-839.
  35. F. Xabier Garaizar, John Trangenstein,, Tracking of Shear Bands in an Antiplane Shear Model, Proceedings of the International Conference on Hyperbolic Equations, SUNY Stony Brook.
  36. S. A. Khan, K. Holing, R.D. Hornung, B.E.R. Schilling, John Trangenstein, Application of Adaptive Mesh-Refinement with a New Higher-Order Method in Simulation of a North Sea Micellar/Polymer Flood, SPE 29145, Proceedings of the SPE Symposium on Reservoir Simulation
  37. John Trangenstein, A Second-Order Godunov Algorithm for Two-Dimensional Solid Mechanics, Computational Mechanics, 13(1994) pp. 343-359.
  38. Richard Pember and John Trangenstein, Numerical Algorithms for Strong Discontinuities in Elastic-Plastic Solids, J. Comp. Phys., vol. 103, (1992), pp. 63-89
  39. Philip Colella and John Trangenstein, A Higher-Order Godunov Method for Modeling Finite Deformation in Elastic-Plastic Solids, Comm. Pure Appl. Math., vol. XLIV, (1991), pp. 41-100
  40. Richard Pember and John Trangenstein, The Riemann Problem for Longitudinal Motion in an Elastic-Plastic Bar, SIAM J. Sci. Stat. Comput., vol. 12, (1991), pp. 180-207
  41. John Trangenstein, A Comparison of Two Numerical Methods for Shocks in One-Dimensional Elastic-Plastic Solids, Viscous Profiles and Numerical Methods for Shock Waves, Michael Shearer (editor), SIAM (1991).
  42. John Trangenstein, A Second-Order Algorithm for the Dynamic Response of Soils, IMPACT of Computing in Science and Engineering, vol. 2, (1990), pp. 1-39
  43. Kent Holing, Birgitte Schilling and John Trangenstein, The Use of Second-Order Godunov-Type Methods for Simulating EOR Processes in Realistic Reservoir Models, Second European Conference on the Mathematics of Oil Recovery, E. Guerillot and O. Guillon (ed.) (1990), 101-111
  44. John B. Bell and John Trangenstein, Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation, SIAM J. Appl. Math., vol.49, (1989), pp. 749-783
  45. John B. Bell and John Trangenstein, Mathematical Structure of Compositional Reservoir Simulation, SIAM J. Sci. Stat. Comput., vol. 10, (1989), pp. 817-845
  46. John B. Bell, Philip Colella and John Trangenstein, Higher-Order Godunov Methods for General Systems of Hyperbolic Conservation Laws, J. Comp. Phys., vol.82, (1989), pp. 362-397
  47. Michael Shearer and John Trangenstein, Loss of Real Characteristics for Models of Three-Phase Flow in a Porous Medium, Transport in Porous Media, vol. 4, (1989), pp. 499-525
  48. John Trangenstein, Three-Phase Flow with Gravity, Contemporary Mathematics, vol.100, (1989), pp. 147-160
  49. John Trangenstein, Analysis of a Model and Sequential numerical Method for Thermal Reservoir Simulation, Second European Conference on the Mathematics of Oil Recovery, P.R. King (ed.), Institute for Mathematics and Its Applications, Cambridge University, 1989
  50. I.I. Glass, J. Kaca, D.L. Zhang, H.M. Glaz, J. Trangenstein, J.B. Bell and, Diffraction of Planar Shock Waves over Half-Diamond and Semicircular Cyliners: an Experimental and Numerical Comparisond, Proceedings of the Seventeenth International Symposium on Shock Waves and Shock Tubes, July 17-21, 1989.
  51. Myron B. Allen, Alda Behie and John Trangenstein, Multiphase Flow in Porous Media: Mechanics, Mathematics and Numerics, Springer-Verlag Lecture Notes in Engineering 34, (1988)
  52. J. Bell, P. Colella, John Trangenstein and M. Welcome, Godunov Methods and Adaptive Algorithms for Unsteady Fluid Dynamics, Eleventh International Conference on Numerical Methods in Fluid Dynamics, Williamsburg, Virginia, 1988.
  53. John Trangenstein, Customized Minimization Techniques for Phase Equilibrium Computations in Reservoir Simulation, Chemical Engineering Science, vol.42, (1987), pp. 2847-2863
  54. John Bell, Phillip Colella, John Trangenstein and Michael Welcome, Adaptive Methods for High Mach Number Reacting Flow, AIAA Eighth Computational Fluid Dynamics Conference, Honolulu, Hawaii, 1987.
  55. John B. Bell, Gregory R. Shubin and John Trangenstein, a Method for Reducing Numerical Dispersion in Two-Phase Black-Oil Reservoir Simulation, J. Comp. Phys., vol. 65, (1986), pp. 71-106
  56. John B. Bell, Gregory R. Shubin and John Trangenstein, Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media, SIAM J. Applied Math., vol. 46, (1986), pp. 1000-1017
  57. John Trangenstein, Minimization of Gibbs Free Energy in Compositional Reservoir Simulation, Eighth SPE Symposium on Reservoir Simulation, SPE 13520, Dallas, 1985
  58. H.E. Read and John Trangenstein, The Inelastic Response Characteristics of the New Endochronic Theory with Singular Kernel, International Journal of Solids and Structures, vol. 18, (1982), pp. 947-956
  59. W.B. Gragg, R.J. LeVeque and John Trangenstein, Numerically Stable Methods for Updating Regressions, J. American Statistical Association, vol. 74, (1979), pp. 161-168
  60. John Trangenstein, Finite Element Method for the Tricomi Problem in the Elliptic Region, SIAM J. Num. Anal., vol. 14, (1977), pp. 1066-1077
  61. J. J. More and John Trangenstein, On the Global Convergence of Broyden's Method, Mathematics of Computation, vol. 30, (1976), pp. 523-540
  62. Trangenstein, J.A. and Bell, J.B., Mathematical structure of compositional reservoir simulation, SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5 , pp. 817 - 45  [abs]

Vartanian, Arthur H.

  1. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Coefficients of Recurrence Relations, Hankel Determinants Ratios, and Root Products Associated with Orthogonal Laurent Polynomials with Respect to Varying Exponential Weights (2005)
  2. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Variational Problems Associated with the Asymptotic Study of Orthogonal Rational Functions: The Riemann-Hilbert Problem Approach (2005)
  3. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights (2005)
  4. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Asymptotics of Orthogonal Laurent Polynomials of Odd Degree with Respect to Varying Exponential Weights (2005)
  5. A. V. Kitaev and A. H. Vartanian, Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painlev\'{e} Equation. I, Inverse Problems, vol. 20 no. 4 (2004), pp. 1165--1206
  6. A. H. Vartanian, Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schr\"{o}dinger Equation with Finite-Density Initial Data. I. Solitonless Sector, in Recent Developments in Integrable Systems and Riemann-Hilbert Problems, Contemporary Mathematics, Vol. 326, pp. 91--185, edited by K. D. T.-R. McLaughlin and X. Zhou (2003), American Mathematical Society
  7. M. Kovalyov and A. H. Vartanian, On Long-Distance Intensity Asymptotics of Solutions to the Cauchy Problem for the Modified Nonlinear Schr\"{o}dinger Equation for Vanishing Initial Data, in Recent Developments in Integrable Systems and Riemann-Hilbert Problems, Contemporary Mathematics, Vol. 326, pp. 49--57, edited by K. D. T.-R. McLaughlin and X. Zhou (2003), American Mathematical Society
  8. A. H. Vartanian, Exponentially Small Asymptotics of Solutions to the Defocusing Nonlinear Schr\"{o}dinger Equation, Appl. Math. Lett., vol. 16 no. 3 (2003), pp. 425--434
  9. A. H. Vartanian, Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schr\"{o}dinger Equation with Finite-Density Initial Data. II. Dark Solitons on Continua, Math. Phys. Anal. Geom., vol. 5 no. 4 (2002), pp. 319--413
  10. A. H. Vartanian, Exponentially Small Asymptotics of Solutions to the Defocusing Non-Linear Schrodinger Equation. II, J. Phys. A: Math. Gen., Vol. 34 (2001), pp. L647--L655

Venakides, Stephanos

  1. Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, Stephanos Venakides, Efficient Evaluation of Doubly Periodic Green Functions in 3D Scattering, Including Wood Anomaly Frequencies, ArXiv>Mathematics > Analysis of PDEs (July 4, 2013) [arXiv:1307.1176]  [abs]
  2. Jackson AD, Huang D, Gauthier DJ, Venakides S., Destructive impact of imperfect beam collimation in extraordinary optical transmission., J. Opt. Soc. Am A, vol. 30 no. 6 (June, 2013), pp. 1281-1290 (doi: 10.1364/JOSAA.30.001281..)  [abs]
  3. S. Belov and S. Venakides, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, APDE (Analysis and PDE) (2013)  [abs]
  4. A. Tovbis, S. Venakides, Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrödinger Equation, Int Math Res Notices, vol. 2012 no. 10 (2012), pp. 2212-2271 (doi:10.1093/imrn/rnr092.)  [abs]
  5. S. Shipman, S. Venakides, An exactly solvable model for nonlinear resonant scattering, Nonlinearity, vol. 25 no. 9 (2012), pp. 2473-2501 (doi:10.1088/0951-7715/25/9/2473.)  [abs]
  6. A. Tovbis, S. Venakides, Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space, Comm. Math. Phys., vol. 295 no. 1 (2010), pp. 139-160  [abs]
  7. W. R. Lefew, S. Venakides, D. Gauthier, Accurate description of optical precursors and their relation to weak-field coherent optical transients, Phys. Rev. A., vol. 79 (2009), pp. 063842
  8. A. Tovbis, S. Venakides, Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing Nonlinear Schr\" odinger Equation, Int. Math. Res. Notices,, vol. 2009 (2009), pp. 2056-2080
  9. A. T. Layton, Y. Toyama, G-Q Yang, G. S. Edwards, D. P. Kiehart, S. Venakides, Drosophila Morphogenesis:Tissue Force Laws and the Modeling of Dorsal Closure, HFSPHFSP (Human Frontier Science Program) Journal Published online 2009 December 15. doi: 10.2976/1.3266062., vol. 3 no. 6 (2009), pp. 441-460, HFSP  [abs]
  10. N. Ptitsyna, S. P. Shipman, and S. Venakides, Fano resonance of waves in periodic slabs, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 73-78 (2008) [arXiv:0804.3148]  [abs]
  11. X. G. Peralta, Y. Toyama, M. S. Hutson, R. Montague, S. Venakides, D. P. Kiehart and G. S. Edwards, Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis, Biophysical Journal, vol. 92 (April, 2007), pp. 2583-2596  [abs]
  12. A. Tovbis, S. Venakides, X. Zhou, Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse scattering map and its evolution for radiative initial data, International Mathematics Research Notices, vol. 2007 no. Article ID rnm094, 54 pages. doi:10. (2007)  [abs]
  13. R. Buckingham, A. Tovbis, S. Venakides, X. Zhou, The semiclassical focusing nonlinear Schroedinger equation, in "Recent Advances in Nonlinear Partial Differentila Equations and Applications'', Proceedings of Symposia in Applied Mathematics, edited by L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides, vol. 65, (2007), pp. 47-80, American Mathematical Society, ISBN 978-0-8218-4211-9
  14. R. Buckingham, S. Venakides, Long-time asymptotics of the nonlinear {S}chr\"odinger equation shock problem, Communications on Pure and Applied Mathematics, vol. 60 no. 9 (2007), pp. 1349--1414, ISSN 0010-3640 [MR2337507]  [abs]
  15. A. Tovbis, S. Venakides, X. Zhou, On the long time limit of semiclassical (zero dispersion limit) solutions of the focusing Nonlinear Schroedinger Equation: Pure radiation case., vol. 59 no. 10 (2006), pp. 1379 - 1432 [MR2248894]  [abs]
  16. S. Shipman, S. Venakides, Resonant transmission near nonrobust periodic slab modes, Phys. Rev. E, vol. 71 (2005), pp. 026611(1-10)
  17. A. Tovbis, S. Venakides, X Zhou, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear {S}chr\"odinger equation, Communications on Pure and Applied Mathematics, vol. 57 no. 7 (2004), pp. 877--985, ISSN 0010-3640 [MR2044068 (2005c:35269)]
  18. Stephen Shipman and Stephanos Venakides, Resonance and bound states in photonic crystal slabs, SIAM J. Appl. Math., vol. 64 no. 1 (2003), pp. 322-342
  19. M. Shane Hutson, Yoichiro Tokutake, Ming-Shien Chang, James W. Bloor, Stephanos Venakides, Daniel P. Kiehart, and Glenn S. Edwards, Forces for Morphogenesis Investigated with Laser Microsurgery and Quantitative Modeling, Science, vol. 300 (2003), pp. 145-149
  20. M.A. Haider, S.P. Shipman and S. Venakides, Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances, SIAM Journal on Applied Mathematics, vol. 62, (2002), pp. 2129-2148
  21. El, G. A.; Krylov, A. L.; Venakides, S.,, Unified approach to KdV modulations, Comm. Pure Appl. Math. 54, no 10, (2001), pp. 1243-1270.
  22. El, G.A.; Krylov, A.L.; Molchanov, S.A.; Venakides, S., Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. In Advances in nonlinear mathematics and science., Physica D 152/153 (2001), 653--664
  23. A. Georgieva, T. Kriecherbauer, Stephanos Venakides, 1:2 Resonance Mediated Second Harmonic Generation in a 1-d Nonlinear Discrete Periodic Medium, SIAM J. Appl. Math, vol 61 No 5 (2001) 1802-1815
  24. Alexander Tovbis, Stephanos Venakides, The Eigenvalue Problem for the Focusing Nonlinear Schroedinger Equation: New Solvable Cases, Physica D, vol. 146, (2000), pp. 150-164
  25. S. Venakides, M. Haider, V. Papanicolaou, Boundary Integral Calculations of 2-d Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures, SIAM J. Appl. Math. vol. 60/5, (2000), pp. 1636-1706
  26. P. Deift, T. Kriecherbauer, K. T-R McLaughlin, S. Venakides, X. Zhou, Uniform Asymptotics for Polynomials Orthogonal with respect to Varying Exponential Weights and Applications to Universality Questions in Random Matrix Theory, CPAM vol. 52, (1999), pp. 1335-1425
  27. A. Georgieva, T. Kriecherbauer, Stephanos Venakides, Wave Propagation and Resonance in a 1-d Nonlinear Discrete Periodic Medium, SIAM J. Appl. Math., vol. 60/1, (1999), pp. 272-294
  28. P.J. Cheng, Stephanos Venakides, X. Zhou, Long-time Asymptotics for the Pure Radiation Solution of the Sine-Gordon Equation, Comm. in PDE, vol. 24(7-8), (1999), pp. 1195-1262
  29. M.M. Beaky, J.B. Burke, H.O. Everitt, M.A Haider, S. Venakides, Two Dimensional Photonic Crystal Fabry-Perot Resonators with Lossy Dielectrics, IEEE Transactions on Microwave Theory, vol. 47 No. 9 (1999) pp. 2085-2091
  30. P. Deift, T. Kriecherbauer, K. T-R McLaughlin,S. Venakides, X. Zhou, Strong Asymptotics of Orhtogonal Polynomials with Respect to Exponential Weights, CPAM, vol.52 (1999) 1491-1552.
  31. A. M. Filip, S. Venakides, Existence and Modulation of Traveling Waves in Particle Chains, CPAM, Vol 51, 1998, 693-736.
  32. M. McDonald, S. Venakides, Renormalization of the Tau Function for Integrable Systems: A Model Problem, CPAM, Vol 51, 1998, 937-966.
  33. P. Deift, S. Venakides, X. Zhou, An Extension of the Method of Steepest Descent for Riemann-Hilbert Problems: The Small Dispersion Limit of the Korteweg-de Vries (KdV) Equation, Proc. Ntl. Acad. Sc. USA, vol. 95, Jan 1998, 450-454.
  34. P. Deift, S. Venakides, X. Zhou, New Results in the Small-Dispersion KdV by an Extension of the Method of Steepest Descent for Riemann-Hilbert Problems, IMRN, 1997, N0. 6, 285-299.
  35. L.L. Bonilla. M. Kindelan, M. Moscoso, S. Venakides, Periodic Generation and Propagation of Traveling Fronts in dc Voltage Biased Semiconductor Superlattices, SIAM J. Appl. Math., Vol. 57, Number 6, 1997, 1588-1614
  36. P. Deift, T. Kriecherbauer, K. T-R McLaughlin,S. Venakides, X. Zhou, Asymptotics of Polynomials Orthogonal with Respect to Varying Exponential Weights, IMRN, 1997 No 16, pp. 759-782
  37. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part II, Comm. Pure Appl. Math. 48, 1995, 1251-1298.
  38. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part I, Comm. Pure Appl. Math. 48,1995, 1187-1250.
  39. L. L. Bonilla, F. Higuera, S. Venakides, The Stability of the Steady State of the Gunn Oscillator, SIAM J. Appl. Math. vol. 54, No 6, (1994), pp. 1521-1541.
  40. P. Deift, S. Venakides, X. Zhou, The Collisionless Shock Region for the Long Time Behavior of the Solutions of the KdV Equation, CPAM. vol. 47, (1994), pp. 199-206.
  41. T. Zhang, S. Venakides, Periodic Limit of Inverse Scattering, CPAM vol. 46 (1993), pp. 819-865.
  42. P. D. Lax, C. D. Levermore, S. Venakides, The Generation and Propagation of Oscillations in Dispersive IVP's and their Limiting Behavior, Important Developments in Soliton Theory 1980--1990}, T. Fokas and V.E. Zakharov eds., Springer-Verlag, Berlin (1992).
  43. S. Venakides, P. Deift, R. Oba, The Toda shock problem, CPAM vol 44 (1991), pp. 1171-1242.
  44. S. Venakides, The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory, CPAM vol. 43 (1990), pp. 335-361.
  45. M. Reed, S. Venakides, J. J. Blum, Approximate travelling waves in linear reaction-hyperbolic equations, SIAP. 50, No 1 (1990), pp. 167-180. .
  46. S. Venakides, The continuum limit of Theta functions, CPAM, vol. 42, (1989) pp. 711-728.
  47. S. Venakides, The Infinite Period Limit of the Inverse Formalism for Periodic Potentials, CPAM, vol. 41, (1988) pp. 3-17.
  48. S. Venakides, The small dispersion limit of the Korteweg-de Vries equation, Proceedings of the Conference at M.S.R.I., in Berkeley in honor of P.D. Lax's 60th birthday, (editors A. J. Chorin, A. J. Majda) (1987) pp. 295-336.
  49. S. Venakides, The zero dispersion limit of the Korteweg-de Vries equation with periodic initial data, AMS Transactions, vol. 301 (1987), pp. 189-226.
  50. S. Venakides, The solution of completely integrable systems in the continuum limit of the spectral data, IMA Proceedings, vol. 2, (1986) pp. 337-356..
  51. S. Venakides, Long-time asymptotics of the Korteweg-de Vries equation, AMS Transactions 293 #1 (1986), pp. 411-419..
  52. S. Venakides, The generation of modulated wavetrains in the solution of the Korteweg-de Vries Equation, CPAM. 38, (1985), pp. 883-909..
  53. S. Venakides, The zero-dispersion limit of the Korteweg-de Vries equation with non-trivial reflection coefficient, Comm. Pure and Appl. Math. 38, pp. 125-155, 1985.

Vogelstein, Joshua

  1. Fishkind, Donniell E. and Sussman, Daniel L. and Tang, Minh and Vogelstein, Joshua T. and Priebe, Carey E., Consistent adjacency-spectral partitioning for the stochastic block model when the model parameters are unknown, Arxiv preprint (May, 2012), pp. 20, submitted, arXiv:1205.0309v1 [0309]  [abs]
  2. Roberts, N. J. and Vogelstein, Joshua T. and Parmigiani, Giovanni and Kinzler, K. W. and Vogelstein, Bert and Velculescu, Victor E, The Predictive Capacity of Personal Genome Sequencing, Science Translational Medicine (April, 2012), ISSN 1946-6234 [scitranslmed.3003380], [doi]
  3. Joshua T. Vogelstein, William R. Gray, R. Jacob Vogelstein, and Carey E. Priebe, Graph Classification using Signal Subgraphs: Applications in Statistical Connectomics., IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. in press (2012) [1427]
  4. Dai E, He H, Vogelstein JT, Hou Zengguag, Accurate Prediction of AD Patients using Cortical Thickness Networks., Machine Vision and Applications. (2012)
  5. CE Priebe, DL Sussman, M Tang, JT Vogelstein, Statistical inference on errorfully observed graphs, JASA (2012)
  6. Q Wu, D Carlson, W Lian, M Zhou, CR Stoetzner, D Kipke, D Weber, JT Vogelstein, D Dunson, L Carin, Sorting Electrophysiological Data via Dictionary Learning & Mixture Modeling, IEEE TBME (2012)
  7. D Koutra, JT Vogelstein, C Faloutsos, DeltaCon: Measuring Connectivity Differences in Large Networks, SIAM International Conference on Data Mining (2012)
  8. J. Vogelstein, Large (Brain) Graph Matching via Fast Approximate Quadratic Programming, PAMI (2012)
  9. J. Vogelstein, Shuffled Graph Classification: Theory and Applications in Statistical Connectomics., Journal of Classification (2012)
  10. Gray, William R. and Kleissas, Dean M and Burck, James M and Vogelstein, Joshua T. and Perlman, Eric and Burlina, Philippe M and Burns, Randal and Vogelstein, R. Jacob, Towards a Fully Automatic Pipeline for Connectome Estimation from High-Resolution Electron Microscopy Data, Cold Spring Harbor Labs conference on Neural Circuits (2012)
  11. Vogelstein, Joshua T. and Gray, William R. and Vogelstein, R. Jacob and Priebe, Carey E., Graph Classification using Signal Subgraphs: Applications in Statistical Connectomics, Submitted to IEEE PAMI (August, 2011), pp. 12 [1427]  [abs]
  12. Hofer, Sonja B and Ko, Ho and Pichler, Bruno and Vogelstein, Joshua T. and Ros, Hana and Zeng, Hongkui and Lein, Ed and Lesica, Nicholas A and Mrsic-Flogel, Thomas D, Differential connectivity and response dynamics of excitatory and inhibitory neurons in visual cortex, Nature Neuroscience, vol. 14 no. 8 (2011), pp. 1045--1052, NATURE PUBLISHING GROUP [available here]  [abs]
  13. Vogelstein, Joshua T. and Vogelstein, R. Jacob and Priebe, Carey E., Are mental properties supervenient on brain properties?, Scientific Reports, vol. 1 no. 100 (2011), pp. 11, 10. 1038/srep00100, doi [http://www.citebase.org/abstract?id=oai:arXiv.org:0912.1672], [doi]  [abs]
  14. Priebe, Carey E. and Vogelstein, Joshua T. and Bock, Davi D, Optimizing the quantity/quality trade-off in connectome inference, Communications in Statistics Theory and Methods (2011), pp. 7 [6271]  [abs]
  15. Yuste, Rafael and MacLean, Jason and Vogelstein, Joshua T. and Paninski, Liam, Imaging action potentials with calcium indicators., Cold Spring Harbor protocols, vol. 2009 no. 8 (2011), pp. pdb.prot5316 [21807854]  [abs]
  16. Vogelstein, Joshua T. and Priebe, Carey E., Shuffled Graph Classification: Theory and Connectome Applications, Arxiv preprint (2011), submitted, arXiv:1112.5506v1 [pdf]  [abs]
  17. Vogelstein, Joshua T. and Conroy, John C M and Podrazik, Louis J and Kratzer, Steven G and Fishkind, Donniell E. and Vogelstein, R. Jacob and Priebe, Carey E., (Brain) Graph Matching via Fast Approximate Quadratic Programming, Arxiv preprint (2011), submitted, arXiv:1112.5507v1 [pdf]  [abs]
  18. Gray, William R. and Bogovic, John A and Vogelstein, Joshua T. and Landman, Bennett A and Prince, Jerry L and Vogelstein, R. Jacob, Magnetic resonance connectome automated pipeline: an overview., IEEE pulse, vol. 3 no. 2 (March, 2010), pp. 42--8, ISSN 2154-2287 [articleDetails.jsp], [doi]  [abs]
  19. Paninski, Liam and Ahmadian, Yashar and Ferreira, Daniel Gil and Koyama, Shinsuke and {Rahnama Rad}, Kamiar and Vidne, Michael and Vogelstein, Joshua T. and Wu, Wei, A new look at state-space models for neural data., Journal of computational neuroscience, vol. 29 no. 1-2 (August, 2009), pp. 107--126, ISSN 1573-6873 [19649698], [doi]  [abs]
  20. Vogelstein, Joshua T. and Watson, Brendon O and Packer, Adam M and Yuste, Rafael and Jedynak, Bruno M and Paninski, Liam, Spike inference from calcium imaging using sequential Monte Carlo methods., Biophys J, vol. 97 no. 2 (July, 2009), pp. 636--655 [005], [doi]  [abs]
  21. Mishchenko, Yuriy and Vogelstein, Joshua T. and Paninski, Liam, A Bayesian approach for inferring neuronal connectivity from calcium fluorescent imaging data, Annals of Applied Statistics, vol. in press (2009)
  22. Vogelstein, R. Jacob and Mallik, Udayan and Vogelstein, Joshua T. and Cauwenberghs, Gert, Dynamically reconfigurable silicon array of spiking neurons with conductance-based synapses., IEEE Transactions on Neural Networks, vol. 18 no. 1 (2007), pp. 253--265, IEEE INSTITUTE OF ELECTRICAL AND ELECTRONICS, ISSN 10459227 [17278476], [doi]  [abs]
  23. Vogelstein, Joshua T. and Snyder, L H and Angelaki, Dora E, Accuracy of saccades to remembered targets as a function of body orientation in space, Journal of Neurophysiology, vol. 90 no. 1 (2003), pp. 521--524, ISSN 00223077 [query.fcgi]  [abs]
  24. Vogelstein, Joshua T. and Vogelstein, R. Jacob and Vogelstein, Bert, NIH Grant Application: Testing the effects of genetic variations using MINIME technology (essay competition(), Science, vol. 286 no. 5448 (1999), pp. 2300--2301 [2300.summary], [doi]
  25. Greenspan, D L and Connolly, D C and Wu, R and Lei, R Y and Vogelstein, Joshua T. and Kim, Y T and Mok, J E and Mu\~noz, N and Bosch, F X and Shah, K and Cho, K R, Loss of FHIT expression in cervical carcinoma cell lines and primary tumors., Cancer Research, vol. 57 no. 21 (1997), pp. 4692--4698, Amer Assoc Cancer Research [9354423]  [abs]

Vybornov, Maxim

  1. Igor Frenkel, Anton Malkin, and Maxim Vybornov, Affine Lie Algebras and Tame Quivers , preprint 2000 [math.RT/0005119]
  2. Maxim Vybornov, Sheaves on triangulated spaces and Koszul duality, submitted for publication; based on Ph.D. Thesis, Yale University, May 1999 , preprint 1999 [math.AT/9910150]
  3. Maxim Vybornov, Solutions of the Yang-Baxter equation and quantum sl (2), Journal of Knot Theory and its Ramifications, vol. 8 (1999), no. 7, 953--961 [math.QA/9806058]
  4. Maxim Vybornov, The Drinfeld-Kohno correspondence and quantum Jacobi identity (translation),, Functional Analysis and its Applications, vol. 32 (1998), no. 4, 278--280 (1999)
  5. Maxim Vybornov, Constructible sheaves on simplicial complexes and Koszul duality, Mathematical Research Letters, vol. 5 (1998), 675--683. [math.AG/9802096]
  6. Maxim Vybornov, Mixed algebras and quivers related to cell complexes, Communications in Algebra, vol. 25 (1997), 3985--3992

Wang, Jin

  1. Computation of 2D Navier-Stokes equations with moving interfaces by using GMRES, Internat. J. Numer. Methods Fluids, vol. 54 (2007), pp. 333-352
  2. On the accuracy of a numerical method for linear interfacial motion, Appl. Math. Comput., vol. 188 (2007), pp. 1733-1741
  3. with A. T. Layton, Numerical simulation of fiber sedimentation in Navier-Stokes flows (2007)
  4. with A. Friedman, J. P. Tian, G. Fulci, and A. E. Chiocca, Glioma virotherapy: the effects of innate immune suppression and increased viral replication capacity, Cancer Research, vol. 66 (2006), pp. 2314-2319
  5. with J. P. Tian, Numerical study for a model of tumor virotherapy (2006)
  6. Highly accurate difference methods for linear Burgers' equation (2006)
  7. On the study of multilevel finite difference methods (2006)
  8. with G. R. Baker, A numerical approach for simulating two-dimensional viscous incompressible flows with interfaces (2006)

Wang, Yi (Grace)

  1. Y. Wang, K mappings and regression trees (October, 2013)
  2. Y. Wang, Hybrid Linear Modeling via Local Best Flats, International Journal of Computer Vision, vol. 100 no. 3 (December, 2012), pp. 217-240, ISSN 0920-5691
  3. Y. Wang, A. Szlam and G. Lerman, Robust Locally Linear Analysis with Applications to Image Denoising and Blind Inpainting, SIAM Journal on Imaging Sciences (2012), ISSN 1936-4954
  4. Y. Wang and F. Porikli, Multiple Dictionary Learning for Blocking Artifacts Reduction, Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on (2012), ISSN 1520-6149

Winter, Dale

  1. Dale Winter, Matthew DeLong, An Objective Approach to Student-Centered Instruction , accepted 2000
  2. Dale Winter, Matthew DeLong, Novice Instructors and Lesson Planning , preprint 2000
  3. Dale Winter, Paula Lemons, Jack Bookman, William Hoese, Addressing Difficulties with Student-Centered Instruction: Mathematics and Science Laboratories , preprint 2000
  4. Dale Winter, Carolyn A. Yackel, Novice Instructors and Student-Centered Instruction: Understanding Perceptions of and Responses to Challenges of Classroom Authority , accepted 1999
  5. Dale Winter, Analysis of the Cosmological Oppenheimer Volkoff Equations , accepted 1999
  6. Dale Winter, Jack Bookman, William Hoese, Susan White, Managing Student-Centered Science and Mathematics Laboratories , preprint 1999
  7. Dale Winter, Cosmological Shock Waves in General Relativity , preprint 1999
  8. Matt DeLong, Dale Winter, Mathematics Professional Development Manual , book 1998
  9. Matt DeLong,Dale Winter, Addressing Difficulties with Student-Centered Instruction, PRIMUS, Volume VIII, Issue 4; 1998
  10. Dale Winter, Carolyn Yackel, Negotiating Responsibility in the Mathematics Classroom , submitted 1998
  11. Dale Winter, Carolyn Yackel, Establishing a Successful Classroom Climate Through an Instructor-Student Contract , submitted 1998
  12. Dale Winter, Carolyn Yackel, Graduate Student Instructors and Classroom Authority , preprint 1998
  13. Stephanie Fitchette, Dale Winter, Worksheets that Work: Combining Content with Pedagogy , preprint 1998
  14. Michael Brilleslyper, Carl Swenson, Dale Winter, Instructor's Manual to Accompany "Functions Modeling Change. A Preparation for, John Wiley and Son, New York (1997)

Witelski, Thomas P.

  1. T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi]
  2. N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski, A new model for disturbance waves, International Journal of Multiphase Flow, vol. 66 (2014), pp. 38-45 [doi]
  3. S.J.Chapman, P.H.Trinh and T.P. Witelski, Exponential asymptotics for thin film rupture, SIAM Journal on Applied Mathematics, vol. 73 no. 1 (2013), pp. 232-253 [120872012], [doi]
  4. L.B.Smolka and T.P. Witelski, Biaxial extensional motion of an inertially driven radially-expanding liquid sheet, Physics of Fluids, vol. 25 no. 062105 (2013) [doi]
  5. T.P. Witelski, D. Ambrose, A. Bertozzi, A. Layton, ZL. Li, M. Minion, Preface: special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4 (June, 2012), pp. i-ii
  6. R. Wiebe, L.N. Virgin, T. P. Witelski, A parametrically forced nonlinear system with reversible equilibria, International Journal of Bifurcation and Chaos, vol. 22 no. 6 (2012), pp. 1230020 [doi]
  7. Y. Huang, T.P. Witelski, A. L. Bertozzi, Anomalous exponents of self-similar blowup solutions to an aggregation equation in odd dimensions, Applied Mathematics Letters, vol. 25 no. 12 (2012), pp. 2317-2321 [doi]
  8. C. Breward, E. Aydemir, T.P. Witelski, The effect of polar lipids on tear film dynamics, Bulletin of Mathematical Biology, vol. 73 (2011), pp. 1171-1201 [doi]
  9. M. Aguareles, S. J. Chapman, T. Witelski, Motion of spiral waves in the complex Ginzburg–Landau equation, Physica D, vol. 239 no. 7 (April, 2010), pp. 348-365 [003]
  10. A.J.Bernoff and T.P. Witelski, Stability and dynamics of self-similarity in evolution equations, Journal of Engineering Mathematics, vol. 66 no. 1-3 (March, 2010), pp. 11-31, ISSN 1573-2703 [s10665-009-9309-8]
  11. T.P. Witelski, The subtle art of blowing bubbles (News and Views: Fluid Dynamics), Nature Physics, vol. 5 (May, 2009), pp. 315-316 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0]
  12. H.-J. Hwang and T.P. Witelski, Short-time Pattern formation in thin film equations, Discrete and Continuous Dynamical Systems A, vol. 23 no. 3 (March, 2009), pp. 867-885, ISSN 1078-0947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp]
  13. M. B. Gratton and T.P. Witelski, Transient and self-similar dynamics in thin film coarsening, Physica D, vol. 238 no. 23-24 (2009), pp. 2380-2394 [015]
  14. L. B. Smolka and T. P. Witelski, On the planar extensional motion of an inertially driven liquid sheet, Physics of Fluids, vol. 21 no. 4 (2009), pp. 042101 [042101]
  15. T.P. Witelski and M. Bowen, Singular perturbation theory, Scholarpedia, vol. 4 no. 4 (2009), pp. 3951 [Singular_perturbation_theory]
  16. DiCarlo DA, Juanes R, LaForce T, Witelski TP, Nonmonotonic traveling wave solutions of infiltration into porous media, Water Resources Research, vol. 44 no. 2 (February, 2008), pp. W02406, ISSN 0043-1397 [2007WR005975]
  17. M. Aguareles, S. J. Chapman, T.P. Witelski, Interaction of spiral waves in the Complex Ginzburg-Landau equation, Physical Review Letters, vol. 101 no. 224101 (2008) (doi:10.1103/PhysRevLett.101.224101.) [e224101]
  18. S. T. Santillian, R. H. Plaut, T. P. Witelski, L. N. Virgin, Large oscillations of beams and columns including self-weight, International Journal of Nonlinear mechanics, vol. 43 no. 8 (2008), pp. 761-771, ISSN 0020-7462 [007]
  19. M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity, Physical Review E, vol. 77 no. 016301 (2008), pp. 1--11 [e016301]
  20. A.J. Catlla, D.G. Schaeffer, T.P. Witelski, E. E. Monson, A. L. Lin, On spiking models for synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 3 (2008), pp. 553-569 [553]
  21. David G. Schaeffer, Michael Shearer and T.P. Witelski, Boundary-value problems for hyperbolic PDE related to steady granular flow, Mathematics and Mechanics of Solids, vol. 12 no. 6 (2007), pp. 665-699 [1081286506067325]
  22. R. Levy,M. Shearer and T.P. Witelski, Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves, European Journal of Applied Mathematics, vol. 18 no. 6 (2006), pp. 679--708 [S0956792507007218]
  23. T.P. Witelski, R. Levy and M. Shearer, Growing surfactant waves in thin liquid films driven by gravity, Applied Mathematics Research Express, vol. 2006 no. 15487 (2006), pp. 1-21 [15487]
  24. Mark Bowen and Thomas P. Witelski, The linear limit of the dipole problem for the thin film equation, SIAM journal on applied mathematics, vol. 66 no. 5 (2006), pp. 1727--1748 [050637832]
  25. A. Munch and B. Wagner and T.P. Witelski, Lubrication models with small to large slip lengths, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 259-283 [contribution.asp]
  26. T.P. Witelski and S.W. Rienstra, Introduction to Practical Asymptotics III, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 199-199 [contribution.asp]  [abs]
  27. R. Fetzer, K. Jacobs, A.Munch, B. Wagner, T.P. Witelski, New slip regimes and the shape of dewetting thin liquid films, Physical Review Letters, vol. 95 no. 12 (September, 2005), pp. 127801 [PhysRevLett.95.127801]
  28. R. P. Haskett, T. P. Witelski, and J. Sur, Localized Marangoni forcing in driven thin films, Physica D, vol. 209 no. 1-4 (September, 2005), pp. 117-134 [019]
  29. K. B. Glasner and T.P. Witelski, Collision vs. collapse of droplets in coarsening of dewetting thin films, Physica D, vol. 209 no. 1-4 (September, 2005), pp. 80-104 [010]
  30. L. B. Smolka and A. Belmonte and D. M. Henderson and T.P. Witelski, Exact solution for the extensional flow of a viscoelastic filament, European Journal of Applied Mathematics, vol. 15 no. 6 (2005), pp. 679-712  [abs]
  31. T.P. Witelski, Motion of wetting fronts moving into partially pre-wet soil, Advances in Water Resources, vol. 28 no. 10 (2005), pp. 1133-1141 [006]
  32. Jeanman Sur and T. P. Witelski and R. P. Behringer, Steady-Profile Fingering Flows in Marangoni Driven Thin Films, Physical Review Letters, vol. 93 no. 24 (December 10, 2004), pp. 7803 [e247803]
  33. L. J. Borucki, Thomas P. Witelski, C. P. Please, P. Kramer, D. Schwendeman, A theory of pad conditioning for chemical-mechanical polishing, Journal of Engineering Mathematics, vol. 50 no. 1 (September, 2004), pp. 1-24 [issues.aspx]  [abs]
  34. Thomas P. Witelski and Andrew J. Bernoff and Andrea L. Bertozzi, Blowup and dissipation in a critical-case unstable thin film equation, European Journal of Applied Mathematics, vol. 15 no. 2 (April, 2004), pp. 223-256  [abs]
  35. T.P. Witelski (guest editor), Nonlinear Differential Equations, Mechanics and Bifurcation, Discrete and Continuous Dynamical Systems: Series B, vol. 3 no. 4 (November, 2003) (A special issue dedicated to David G. Schaeffer's 60th birthday.) [htm]
  36. D. G. Schaeffer, M. Shearer, and Thomas P. Witelski, One-dimensional solutions in an elastoplasticity model of granular materials, Mathematical Models and Methods in Applied Sciences, vol. 13 no. 11 (November, 2003), pp. 1629-1671 [html]  [abs]
  37. Karl B. Glasner and Thomas P. Witelski, Coarsening dynamics of dewetting films, Physical Review E, vol. 67 (2003), pp. 016302 [GetabsServlet]  [abs]
  38. Thomas P. Witelski, Intermediate asymptotics for Richards' equation in a finite layer, Journal of Engineering Mathematics, vol. 45 no. 3-4 (2003), pp. 379-399 [A:1022609020200]  [abs]
  39. Thomas P. Witelski and M. Bowen, ADI schemes for fourth-order nonlinear diffusion equations, Applied Numerical Mathematics, vol. 45 no. 2-3 (2003), pp. 331-351 [S0168-9274(02)00194-0]  [abs]
  40. T. Witelski, P. Ng, J. Ying, J. Jundy, J. Bove, An application of pattern recognition and infrared spectroscopy to water analysis, International Journal of Environmental Analytical Chemistry, vol. 44 no. 2 (1991), pp. 127-136, ISSN 0306-7319
  41. Thomas P. Witelski, Computing finite-time singularities in interfacial flows, Modern Methods in Scientific Computing and Applications (NATO ASI series II proceedings, volume 75), 2002, pp. 451-487. [1-4020-0782-5]  [abs]
  42. Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings, Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI  [abs]
  43. A. J. Bernoff and Thomas P. Witelski, Linear stability of source-type similarity solutions of the thin film equation, Applied Mathematics Letters 18 (2002) pp. 599--606.  [abs]
  44. Thomas P. Witelski, D. G. Schaeffer, and M. Shearer, A Discrete Model for an Ill-posed Nonlinear Parabolic PDE, Physica D, 160 (2001) pp. 189--221. [S0167-2789(01)00350-5]  [abs]
  45. A. L. Bertozzi, G. Grun, Thomas P. Witelski, Dewetting films: bifurcations and concentrations, Nonlinearity, 14 (2001) pp 1569--1592  [abs]
  46. D. Vaynblat, J. R. Lister and Thomas P. Witelski, Symmetry and self-similarity in rupture and pinchoff:A geometric bifurcation, European Journal of Applied Mathematics (2001) 12, 3, pp. 209-232.  [abs]
  47. D. Vaynblat, J. R. Lister and Thomas P. Witelski, Rupture of Thin Viscous Films by van der Waals Forces: Evolution and Self-similarity, Physics of Fluids 13, 5 (2001) 1130-1140. [GetabsServlet]  [abs]
  48. Thomas P. Witelski, K. Ono, T. J. Kaper, Analysis of the critical wave speeds of scalar reaction-diffusion equations, Applied Math Letters, 14/1 (2000) pp. 65-73. [ps]  [abs]
  49. Thomas P. Witelski and A. J. Bernoff, Three-dimensional van der Waals driven thin film rupture, Physica D, 147 (1-2), pp. 155--176, (2000). [science]  [abs]
  50. Thomas P. Witelski, K. Ono, T. J. Kaper, On Axi-symmetric Traveling waves and Radial solutions of semi-linear elliptic equations, Natural Resource Modeling 13, 3, 2000, pp. 339-387 [ps]  [abs]
  51. Thomas P. Witelski and Andrew J. Bernoff, Stability of self-similar solutions for van der Waals driven thin film rupture, Physics of Fluids, 11,9, (1999), pp. 2443-2445 [getabs]  [abs]
  52. F. Hendriks, Thomas P. Witelski, et al, Design of planar coils of minimum resistance for magnetic recording devices, Proceedings of the Workshop on Mathematical Problems in Industry, University of Delaware, 1999 [gz]
  53. Thomas P Witelski, F. Hendriks, Stability of Gas Bearing Sliders for Large Bearing Number: Convective Instability of the Tapered slider, Tribology Transactions, 42, 1, pp. 216-222, (1999) [ps]  [abs]
  54. Thomas P. Witelski, F. Hendriks, Large Bearing Number Stability Analysis for Tango Class Gas Bearing Sliders, Tribology Transactions, 42 (3), pp. 668-674 (1999) [ps]  [abs]
  55. Thomas P Witelski, Dynamics of air bearing sliders, Physics of Fluids, 10, 3, (1998), pp. 698-708 [getabs]  [abs]
  56. Thomas P Witelski, Horizontal infiltration into wet soil, Water Resources Research, 34, 7, pp. 216-222 (1998) [gz]
  57. Thomas P. Witelski and A. J. Bernoff, Self-similar asymptotics for linear and nonlinear diffusion equations, Studies in Applied Mathematics, 100, pp. 153-193, (1998) [gz]
  58. A. Y. Grosberg, T. Tanaka, Thomas P Witelski, On the properties of polymer globules in the high-density limit, Journal of Chemical Physics, 108, 21, pp. 9144-9149, (1998) [getabs]
  59. A. J. Bernoff, A. L. Bertozzi, Thomas P Witelski, Axisymmetric surface diffusion: dynamics and stability of self-similar pinch-off, Journal of Statistical Physics, 93, 3/4, pp. 725-776, (1998) [gz]
  60. M. P. Brenner, Thomas P Witelski, On spherically symmetric gravitational collapse, Journal of Statistical Physics, 93, 3/4, pp. 863-900, (1998) [gz]
  61. Thomas P Witelski, Equilibrium solutions of a degenerate singular Cahn-Hilliard equation, Applied Mathematics Letters, 11, 5, pp. 127-133, (1998) [gz]
  62. W. L. Hogarth, J. Y. Parlange, Thomas P Witelski, The superposition principle for infiltration with power law diffusivity, Hydrology Days - Proceedings of the 17th Annual American Geophysical Union, pp. 365-374 (1997)
  63. Thomas P Witelski, Segregation and Mixing in degenerate diffusion in population dynamics, Journal of Mathematical Biology, 35, pp. 695-712, (1997) [gz]
  64. Thomas P Witelski, Similarity solutions of the lubrication equation, Applied Mathematics Letters, 10, 5, pp. 107-113, (1997) [gz]
  65. Thomas P Witelski, Perturbation analysis for wetting fronts in Richards' equation, Transport in Porous Media, 27, pp. 121-134, (1997) [gz]
  66. D. S. Cohen, Thomas P Witelski, Inaccessible states in time-dependent reaction-diffusive systems, Studies in Applied Mathematics, 97, pp. 301-319, (1996) [gz]
  67. Thomas P Witelski, The structure of internal layers for unstable nonlinear diffusion equations, Studies in Applied Mathematics, 96, pp. 277-300, (1996) [gz]
  68. Thomas P Witelski, Traveling wave solutions for Case II diffusion in polymers, Journal of Polymer Science B: Polymer Physics, 34, pp. 141-150, (1996) [gz]
  69. Thomas P Witelski, Shocks in nonlinear diffusion, Applied Mathematics Letters, 8, 5, pp. 27-32, (1995) [gz]
  70. D. S. Cohen, Thomas P Witelski, Perturbed Reversible Systems, Physics Letters A, 207, pp. 83-86, (1995)
  71. D. S. Cohen, Thomas P Witelski, Forbidden regions for shock formation in diffusive systems, Studies in Applied Mathematics, 95, pp. 297-317, (1995) [gz]
  72. Thomas P Witelski, Merging traveling waves for the pouous-Fisher's equation, Applied Mathematics Letters, 8, 4, pp. 57-62, (1995) [gz]
  73. Thomas P Witelski, Stopping and merging problems for the porous media equation, IMA Journal of Applied Mathematics, 54, pp. 227-243, (1995) [gz]
  74. D. S. Cohen, A. B. White Jr, Thomas P Witelski, Shock formation in a multidimensional viscoelastic diffusive system, SIAM Journal on Applied Mathematics, 55, 2, pp. 348-368, (1995) [gz]
  75. Thomas P Witelski, An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation, Journal of Mathematical Biology, 33, pp. 1-16, (1994) [gz]  [abs]

Yoshida, Ruriko   (search)

  1. A. Takemura and R. Yoshida, Saturation Points on Faces of a Rational Polyhedral Cone, Proceedings of Integer Points In Polyhedra Geometry, Number Theory, Representation Theory Algebra, Optimization, Statistics, Joint Summer Research Conferences (September, 2006) [math.CO/0605479]
  2. R. Hemmecke, A. Takemura, and R. Yoshida, Computing holes in semi-groups, Journal on Discrete and Computational Geometry (July, 2006) [math.CO/0607599]
  3. M. B\'ona, H. Ju, and R. Yoshida, Enumerations of Weighted Graphs, Discrete Applied Math (June, 2006) [math.CO/0606163]
  4. D. Levy, R. Yoshida and L. Pachter, Beyond Pairwise Distances: Neighbor Joining with Phylogenetic Diversity Estimates, the Molecular Biology and Evolution, vol. 23 no. 3 (March, 2006), pp. 491-498 [q-bio.QM/0508001], [491]
  5. A. Takemura and R. Yoshida, A generalization of the integer linear infeasibility problem, Discrete Optimization (2006) [math.ST/0603108]  [abs]
  6. A. Hobolth, R. Yoshida, Maximum likelihood estimation of phylogenetic tree and substitution rates via generalized neighbor-joining and the EM algorithm, edited by H. Anai and K. Horimoto, Algebraic Biology Algebraic Biology 2005, vol. 1 (December, 2005), pp. 41 - 50, Universal Academy Press, INC. [q-bio.QM/0511034]
  7. K. Woods and R. Yoshida, Short Rational Generating Functions and Their Applications to Integer Programming, SIAG/OPT Views-and-News, the newsletter of SIAM's Activity Group on Optimization, vol. 16 no. 1 -- 2 (October, 2005), pp. 15 -- 19, SIAM
  8. R. Sainudiin and R. Yoshida, Applications of Interval Methods to Phylogenetic trees, in Algebraic Statistics for Computational Biology, edited by L. Pachter and B. Stermfels (October, 2005), pp. 359 -- 374, Cambridge University Press
  9. J. De Loera, D. Haws, R. Hemmecke, P. Huggins, and R. Yoshida, A Computational Study of Integer Programming Algorithms Based on Barvinok's Rational Functions, 2, The Journal of Discrete Optimization, vol. 2 (June 30, 2005), pp. 135-144
  10. R. Yoshida, MJOIN (November, 2004) (The GNU General Public Licensed software.) [mjoin]  [abs]
  11. R. Yoshida, Barvinok's Rational Functions: Algorithms and Applications to Optimization, Statistics, and Algebra, Ph D thesis (June, 2004), Department of Mathematics, University of California, Davis [math.CO/0406284]
  12. De Loera, J., Haws, D., Hemmecke, R., Huggins, P., Tauzer, J., and Yoshida, R., Lattice Point Enumeration (January, 2004) (The GNU General Public Licensed software.) [~latte]  [abs]
  13. J. De Loera, R. Hemmecke, J. Tauzer, and R. Yoshida, Effective Lattice Point Counting in Rational Convex Polytopes, The Journal of Symbolic Computation, vol. 38 no. 4 (2004), pp. 1273--1302
  14. J. De Loera, D. Haws, R. Hemmecke, P. Huggins, B. Sturmfels, and R. Yoshida, Short Rational Functions for Toric Algebra and Applications, The Journal of Symbolic Computation, vol. 38 no. 2 (2004), pp. 959--973
  15. J. De Loera, D. Haws, R. Hemmecke, P. Huggins, and R. Yoshida, Three Kinds of Integer Programming Algorithms based on Barvinok's Rational Functions, in Integer Programming and Combinatorial Optimization: 10th International IPCO Conference, edited by D. Bienstock and G. Nemhauser (2004), pp. 244 -- 255, Springer
  16. D. Levy, F. Su, and R. Yoshida, Algorithms for reconstructing phylogenetic trees from dissimilarity maps, RECOMB 2004 meeting abstracts (2004), pp. 19 [available here]
  17. S.Aoki, A. Takemura, and R. Yoshida, Indispensable monomials of toric ideals and Markov bases, edited by Sung-il Pae, Hyungju Park, The Asian Symposium on Computer Mathematics (ASCM) , pp. 200 -- 202, Korea Institute for Advanced Study [math.ST/0511290]
  18. P. Huggins, J. B. Kadane, and R. Yoshida, Fairground game computations, Significance, vol. 2 no. 2 , pp. 92 [available here]

Zhou, Xin

  1. B. Rider and X. Zhou, Janossy densities for unitary ensembles at the spectral edge, IMRN (2008)
  2. with K. T.-R. McLaughlin, A. H. Vartanian, Asymptotics of Coefficients of Recurrence Relations, Hankel Determinants Ratios, and Root Products Associated with Orthogonal Laurent Polynomials with Respect to Varying Exponential Weights, journal Acta Applicandae Mathematicae, vol. 100 (2008), pp. 39-104
  3. with K. McLaughlin , A.H. Vartanian, Asymptotics of Orthogonal Laurent Polynomials of Odd Degree with Respect to Varying Exponential Weights, Constructive Approximation, vol. 27 (2008), pp. 149-202
  4. K. T.-R. McLaughlin, A. H. Vartanian, and X. Zhou, Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights, Math. Phys. Anal. Geom. (2008)
  5. with A. Tovbis and S. Venakides, Semiclassical focusing nonlinear Schroedinger equation I: Inverse scattering map and its evolution for radiative initial data, IMRN (2007)
  6. R. Buckingham, A. Tovbis, S. Venakides and X. Zhou, The semiclassical focusing nonlinear Schroedinger equation, in Recent Advances in Nonlinear Partial Differentila Equations and Applications, edited by L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides, vol. 65 (2007), pp. 47-80, American Mathematical Society
  7. with A. Tovbis, S. Venakides, On the long time limit of semiclassical (zero dispersion limit) solutions of the focusing Nonlinear Schroedinger Equation: Pure radiation case.,, Comm. Pure Appl. Math., vol. 59 no. 10 (2006), pp. 1379-1432
  8. with K. T.-R. McLaughlin, A. H. Vartanian, Asymptotics of Orthogonal Laurent Polynomials of Even Degree with Respect to Varying Exponential Weights, IMRN (2006)
  9. with P. Deift, A. Its, I. Krasovsky, The Widpm-Dyson constant for the gap probability in random matrix theory, a special edition of the Journal of Computational and Applied Mathematics (2006)
  10. with P. Deift, Riemann-Hilbert Problem, in Encyclopedia of Nonlinear Science, edited by A.Scott (2005), pp. 804-808
  11. with P. Deift, Random Matrix Theory III, in Encyclopedia of Nonlinear Science, edited by A.Scott (2005), pp. 771-774
  12. Alexander Tovbis, Stephanos Venakides, X. Zhou, On Semiclassical (Zero Dispersion Limit) Solutions of the Focusing Nonliner Schroedinger Equation, Comm. Pure Appl. Math., vol. 57 (2004), pp. 877-985
  13. with P. Deift, Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space, Comm. Pure Appl. Math., vol. 56 (2003), pp. 1-49
  14. with P. Deift, Perturbation theory for infinite dimensional integrable systems on the line. A case study, Acta Math, vol. 188 (2002), pp. 163-262
  15. with P. Deift, Uniform L^p estimates for solutions of Riemann--Hilbert Problems depending on external parameters, Intl. Math. Res. Notices no. 40 (2002), pp. 2121-2154
  16. with P.Deift, T.Kriecherbauer, K. T-R. McLaughlin, and S.Venakides, A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials, J. Comput. Appl. Math., vol. 133 no. 1-2 (2001), pp. 47-63
  17. with J.Baik, P.Deift, K. T-R. McLaughlin, and P.Miller, Optimal tail estimates for directed last passage site percolation with geometric random variables, Adv. Theo. Math. Phys., vol. 5 no. 6 (2001), pp. 1207-1250
  18. Percy Deift and Xin Zhou, Perturbation theory for infinite dimensional integrable systems on the line. A case study, ACTA Math. preprint 2000
  19. with P. Deift, A. Its, and A. Kapaev, On the algebro-geometric integration of the Schlesinger equations, Comm. Math. Phys. 203 (1999), no. 3, 613-633. [MR2000f:34183]
  20. with P. Chen and S. Venakides, Long time asymptotics for pure radiation solution of the sine-Gordon equation, Comm. in PDE 24 (1999), no.7-8, 1195-1262. [MR2000j:35192]
  21. with P. Deift, T. Kriecherbauer, K. McLaughlin, and S. Venakides, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, Comm. Pure Appl. Math. 52 (1999), no. 11, 1335-1425. [MR1702716]
  22. with P. Deift, T. Kriecherbauer, K. McLaughlin, and S. Venakides, Strong asymptotics for polynomials orthogonal with respect exponential weights, an announcement, Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552. [MR1711036]
  23. with P. Deift, Asymptotics for Oscillatory Riemann-HilbertProblems, CCAST (Beijing), Proc. CCAST, 1999.
  24. P. Deift, S. Venakides, Xin Zhou, An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries, Proc. Natl. Acad. Sc. USA, 95, no. 2, 450-454 (1998) [MR98m:65181]
  25. Xin Zhou, The L2-Sobolev space bijectivity of the scattering and inverse scattering transforms, Comm. Pure Appl. Math., vol. LI, 697-731 (1998) [MR2000c:34220]
  26. P. Deift, T. Kriecherbauer, K. McLaughlin, S. Venakides,Xin Zhou, Uniform Asymptotics for Orthogonal Polynomials, Proceedings of the International Congress of Mathematicians, Vol. III (Berlin), 1998. [MR99m:42038]
  27. Xin Zhou, Strong regularizing effect of integrable systems, Comm. in PDE, 22, no. 3-4, 503-526 (1997). [MR98b:35197]
  28. P. Deift, A. Its, Xin Zhou, A Riemann-Hilbert problem approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics, Ann. of Math. 146, no. 1, 149-235 (1997) [MR98k:47097]
  29. P. Deift, S. Venakides, Xin Zhou, New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems, IMRN, 6 (1997), 286-299. [MR98b:35155]
  30. P. Deift, T. Kriecherbauer, K. McLaughlin, S. Venakides, Xin Zhou, Asymptotics for polynomials orthogonal with respect to varying exponential weights, IMRN, 16, 759-782 (1997) [MR99g:34038]
  31. P. Deift, Xin Zhou, Near integrable systems on the line. A case study-perturbation theory of the defocusing nonlinear Schroedinger equation, Math. Res. Lett. 4, no. 5, 761-772 (1997). [MR98j:35167]
  32. N. Huang, W. Liu, F. Pu, , W. Zhang, Xin Zhou, Nonlinear magnetization dynamics of a ferromagnet with an anisotropy in an external magnetic field, 1997 , preprint 1997
  33. P. Deift, S. Kamvissis, T. Kriecherbauer, Xin Zhou, The Toda rarefaction problem, Comm. Pure Appl. Math. XLIX, no. 1, 35-83 (1996). [MR97e:34023]
  34. Xin Zhou, Inverse scattering transform for systems with rational spectral dependence, Jour. Diff. Eq., 115(2), 277-303 (1995) [MR95k:34023]
  35. P. Deift, Xin Zhou, Asymptotics for the Painleve II equation, Comm. Pure Appl. Math. 48, no. 3, 277-337 (1995). [MR96d:34004]
  36. P. Deift, Xin Zhou, Long-time asymptotics for integrable systems. Higher order theory, Comm. Math. Phys. 165, no. 1, 175-191 (1994) [MR95h:35215]
  37. Deift, P. and Xin Zhou, Long-time asymptotics for the autocorrelation function of the transverse Ising chain at the critical magnetic field, Singular limits of dispersive waves (Lyon, 1991), 183-201, NATO Adv. Sci. Inst. Ser. B Phys. 320, Plenum, New York, 1994. [MR96b:82020]
  38. Deift, P., Venakides, S. and Xin Zhou, The collisionless shock region for the long-time behavior of solutions of the KdV equation, Comm. Pure Appl. Math. 47(2) (1994), 199-206 [MR95f:35220]
  39. Deift, P. and Xin Zhou, Asymptotics for the Painleve II equation: announcement of result, Spectral and scattering theory and applications, 17-26, Adv. Stud. Pure Math. 23, Math. Soc. Japan, Tokyo, 1994 [MR95d:34006]
  40. Beals, R., Deift, P., and Xin Zhou, The inverse scattering transform on the line, Important Developments in Soliton Theory, 7-32, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993. [MR95k:34020]
  41. Deift, P., Its, A. and Xin Zhou, Long-time asymptotics for integrable nonlinear wave equations, Important Developments in Soliton Theory, 181-204, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993 [MR95h:35031]
  42. Deift, P. and Xin Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation, Ann. of Math. (2) 137 (1993), 295-368 [MR94d:35143]
  43. Fokas, A., Mugan, U. and Xin Zhou, On the solvability of Painleve I, III and V, Inverse Problems 8 (1992), no. 5, 757-785 [MR93h:35154]
  44. Fokas, A. and Xin Zhou, On the solvability of Painleve II and IV, Comm. Math. Phys. 144 (3) (1992), 601-622 [MR93d:34004]
  45. Deift, P. and Xin Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems, Bull. Amer. Math. Soc. (N.S.) 26 (1992), no. 1, 119-123 [MR92g:35171]
  46. Deift, P. and Xin Zhou, Direct and inverse scattering on the line with arbitrary singularities, Comm. Pure Appl. Math. 44 (1991), 485-533 [MR92g:34112]
  47. Fokas, A., Its, A. and Xin Zhou, Continuous and discrete Painleve equations, Painleve transcendents (Sainte-Adele, PQ, 1990), 34-47, NATO Adv. Sci. Inst. Ser. B Phys., 278, Plenum, New York, 1992 [MR94h:35226]
  48. Xin Zhou, Inverse scattering transform for the time dependent Schrodinger equation with applications to the KPI equation, Comm. Math. Phys. 128 (1990), 551-564 [MR91j:34138]
  49. Xin Zhou, Direct and inverse scattering transforms with arbitrary spectral singularities, Comm. Pure Appl. Math. 42 (1989), 895-938 [MR90k:34028]
  50. Xin Zhou, The Riemann-Hilbert problem and inverse scattering, SIAM J. Math. Anal. 20 (1989), 966-986 [MR90i:34046]
  51. Pu, F., Li, B. and Xin Zhou, Multisoliton solutions for a classical ferromagnetic chain, Comm. Theoret. Phys. 2 (1983), 797-802 [MR85b:82010]

Zuniga, Jessica

  1. L. Saloff-Coste, J. Zuniga, Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities, Annals of Probability, vol. 39 no. 3 (2011), pp. 1161-1203 [1300281736]  [abs]
  2. L. Saloff-Coste, J. Zuniga, Time inhomogeneous Markov chains with wave like behavior., Annals of Applied Probability, vol. 20 (2010), pp. 1831-1853 [1282747402]  [abs]
  3. L. Saloff-Coste, J. Zuniga, Merging for time inhomogeneous finite Markov chains, Part I: singular values and stability., Electronic Journal of Probability, vol. 14 (2009), pp. 1456-1494  [abs]
  4. L. Saloff-Coste, J. Zuniga, Refined estimates for some basic random walks on the symmetric and alternating groups., Latin American Journal of Probability and Mathematical Statistics, vol. 4 (2008), pp. 359-392 [htm]  [abs]

 

dept@math.duke.edu
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Mathematics Department
Duke University, Box 90320
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