Applied Math

Duke Applied Mathematics
Webpage

Applied Math : All Publications (in the database)

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

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. Allard, WK, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences, vol. 2 (2009) [pdf]
  4. Allard, WK, Total variation regularization for image denoising, geometric theory, SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (December, 2007), pp. 1150-1190, ISSN 0036-1410 [Gateway.cgi], [doi]  [abs]
  5. Allard, WK, 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. Allard, WK, The reconstruction of surfaces in R3 by reflection, The Journal of Geometric Analysis, vol. 9 no. 5 (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]

Beale, J. Thomas

  1. Beale, JT, Solving partial differential equations on closed surfaces with planar cartesian grids, SIAM Journal on Scientific Computing, vol. 42 no. 2 (January, 2020), pp. A1052-A1070 [doi]  [abs]
  2. Tlupova, S; Beale, JT, Regularized single and double layer integrals in 3D Stokes flow, Journal of Computational Physics, vol. 386 (June, 2019), pp. 568-584 [doi]  [abs]
  3. Beale, JT; Ying, W, Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation, Numerische Mathematik, vol. 141 no. 3 (March, 2019), pp. 605-626 [doi]  [abs]
  4. Beale, JT; Ying, W; Wilson, JR, A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces, Communications in Computational Physics, vol. 20 no. 3 (September, 2016), pp. 733-753, Global Science Press [doi]  [abs]
  5. J. t. Beale, W. YIng, and J. R. Wilson, A simple method for computing singular or nearly singular integrals on closed surfaces, Commun. Comput. Phys. (August, 2015) [pdf]
  6. Beale, JT, Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method, SIAM Journal on Numerical Analysis, vol. 53 no. 4 (January, 2015), pp. 2097-2111, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [pdf], [doi]  [abs]
  7. Tlupova, S; Beale, JT, Nearly singular integrals in 3D stokes flow, Communications in Computational Physics, vol. 14 no. 5 (2013), pp. 1207-1227, Global Science Press, ISSN 1815-2406 [pdf], [doi]  [abs]
  8. Ying, W; Beale, JT, A fast accurate boundary integral method for potentials on closely packed cells, Communications in Computational Physics, vol. 14 no. 4 (2013), pp. 1073-1093, Global Science Press, ISSN 1815-2406 [pdf], [doi]  [abs]
  9. Layton, AT; Beale, JT, A partially implicit hybrid method for computing interface motion in stokes flow, Discrete and Continuous Dynamical Systems - Series B, vol. 17 no. 4 (June, 2012), pp. 1139-1153, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492 [pdf], [doi]  [abs]
  10. Beale, JT, Partially implicit motion of a sharp interface in Navier-Stokes flow, J. Comput. Phys., vol. 231 no. 18 (2012), pp. 6159-6172, Elsevier BV [pdf], [doi]
  11. Beale, JT, Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM Journal on Numerical Analysis, vol. 47 no. 4 (July, 2009), pp. 2476-2495, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [pdf], [doi]  [abs]
  12. Beale, JT; Layton, AT, A velocity decomposition approach for moving interfaces in viscous fluids, Journal of Computational Physics, vol. 228 no. 9 (May, 2009), pp. 3358-3367, Elsevier BV, ISSN 0021-9991 [pdf], [doi]  [abs]
  13. Beale, JT; Chopp, D; LeVeque, R; Li, Z, 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 no. 1 (August, 2008), pp. 95-100, Mathematical Sciences Publishers [pdf], [doi]
  14. Beale, JT; Strain, J, Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces, Journal of Computational Physics, vol. 227 no. 8 (April, 2008), pp. 3896-3920, Elsevier BV, ISSN 0021-9991 [repository], [doi]  [abs]
  15. Beale, JT, A proof that a discrete delta function is second-order accurate, Journal of Computational Physics, vol. 227 no. 4 (February, 2008), pp. 2195-2197, Elsevier BV, ISSN 0021-9991 [pdf], [doi]  [abs]
  16. Beale, JT; Layton, AT, On the accuracy of finite difference methods for elliptic problems with interfaces, Commun. Appl. Math. Comput. Sci., vol. 1 no. 1 (2006), pp. 91-119, Mathematical Sciences Publishers [pdf], [doi]  [abs]
  17. Beale, JT, A grid-based boundary integral method for elliptic problems in three dimensions, SIAM Journal on Numerical Analysis, vol. 42 no. 2 (December, 2004), pp. 599-620, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [pdf], [doi]  [abs]
  18. Baker, GR; Beale, JT, Vortex blob methods applied to interfacial motion, J. Comput. Phys., vol. 196 no. 1 (2004), pp. 233-258, Elsevier BV [pdf], [doi]  [abs]
  19. Beale, JT; Lai, MC, A method for computing nearly singular integrals, SIAM Journal on Numerical Analysis, vol. 38 no. 6 (December, 2001), pp. 1902-1925, Society for Industrial & Applied Mathematics (SIAM) [ps], [doi]  [abs]
  20. Beale, JT, Discretization of Layer Potentials and Numerical Methods for Water Waves (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics), RIMS Kokyuroku, vol. 1234 (October, 2001), pp. 18-26, Kyoto University, ISSN 1880-2818
  21. Beale, JT, A convergent boundary integral method for three-dimensional water waves, Mathematics of Computation, vol. 70 no. 235 (July, 2001), pp. 977-1029, American Mathematical Society (AMS) [ps], [doi]  [abs]
  22. Beale, JT; Hou, TY; Lowengrub, J, Stability of boundary integral methods for water waves, AMS-IMS-SIAM Joint Summer Research Conference (January, 1996), pp. 241-245  [abs]
  23. Beale, JT; Hou, TY; Lowengrub, J, Convergence of a boundary integral method for water waves, SIAM Journal on Numerical Analysis, vol. 33 no. 5 (January, 1996), pp. 1797-1843, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  24. Lifschitz, A; Suters, WH; Beale, JT, The onset of instability in exact vortex rings with swirl, Journal of Computational Physics, vol. 129 no. 1 (January, 1996), pp. 8-29, Elsevier BV [doi]  [abs]
  25. Beale, JT; Hou, TY; Lowengrub, JS; Shelley, MJ, Spatial and temporal stability issues for interfacial flows with surface tension, Mathematical and Computer Modelling, vol. 20 no. 10-11 (November, 1994), pp. 1-27, Elsevier BV, ISSN 0895-7177 [doi]  [abs]
  26. Beale, JT; Greengard, C, Convergence of euler‐stokes splitting of the navier‐stokes equations, Communications on Pure and Applied Mathematics, vol. 47 no. 8 (August, 1994), pp. 1083-1115, Wiley, ISSN 0010-3640 [doi]  [abs]
  27. Bourgeois, AJ; Beale, JT, Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean, SIAM Journal on Mathematical Analysis, vol. 25 no. 4 (July, 1994), pp. 1023-1068, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410 [doi]
  28. Beale, JT; Hou, TY; Lowengrub, JS, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Communications on Pure and Applied Mathematics, vol. 46 no. 9 (January, 1993), pp. 1269-1301, WILEY, ISSN 0010-3640 [doi]  [abs]
  29. 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., NATO ASI Series, Kluwer (1993), pp. 11-38
  30. Beale, JT, Exact solitary water waves with capillary ripples at infinity, Communications on Pure and Applied Mathematics, vol. 44 no. 2 (March, 1991), pp. 211-257, Wiley, ISSN 0010-3640 [doi]  [abs]
  31. Beale, JT; Schaeffer, DG, Nonlinear behavior of model equations which are linearly ill-posed, Communications in Partial Differential Equations, vol. 13 no. 4 (January, 1988), pp. 423-467, Informa UK Limited, ISSN 0360-5302 [doi]
  32. Beale, JT, Large-time behavior of discrete velocity boltzmann equations, Communications In Mathematical Physics, vol. 106 no. 4 (December, 1986), pp. 659-678, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  33. Beale, JT, Analysis of Vortex Methods for Incompressible Flow, JOURNAL OF STATISTICAL PHYSICS, vol. 44 no. 5-6 (September, 1986), pp. 1009-1011, ISSN 0022-4715 [Gateway.cgi]
  34. Beale, JT, Convergent 3-D vortex method with grid-free stretching., vol. 46 no. 174 (January, 1986), pp. 401-401, JSTOR [doi]  [abs]
  35. Beale, JT, Convergent 3-D vortex method with grid-free stretching. (January, 1986)  [abs]
  36. Beale, JT, Large-time behavior of the Broadwell model of a discrete velocity gas, Communications in Mathematical Physics, vol. 102 no. 2 (June, 1985), pp. 217-235, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  37. Beale, JT; Nishida, T, Large-Time Behavior of Viscous Surface Waves, North-Holland Mathematics Studies, vol. 128 no. C (January, 1985), pp. 1-14, Elsevier, ISSN 0304-0208 [doi]  [abs]
  38. Beale, JT; Majda, A, High order accurate vortex methods with explicit velocity kernels, Journal of Computational Physics, vol. 58 no. 2 (January, 1985), pp. 188-208, Elsevier BV, ISSN 0021-9991 [doi]  [abs]
  39. Beale, JT, Large-time regularity of viscous surface waves, Archive for Rational Mechanics and Analysis, vol. 84 no. 4 (December, 1984), pp. 307-352, Springer Nature, ISSN 0003-9527 [doi]
  40. Beale, JT; Kato, T; Majda, A, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Communications in Mathematical Physics, vol. 94 no. 1 (March, 1984), pp. 61-66, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  41. Beale, JT; Majda, AJ, Explicit smooth velocity kernels for vortex methods. (January, 1983)  [abs]
  42. Beale, JT; Majda, A, Vortex methods. ii: Higher order accuracy in two and three dimensions, Mathematics of Computation, vol. 39 no. 159 (January, 1982), pp. 29-52, American Mathematical Society (AMS) [doi]  [abs]
  43. Beale, JT; MAJDA, A, Vortex Methods 2: Higher-Order Accuracy in 2 and 3 Dimensions, MATHEMATICS OF COMPUTATION, vol. 39 no. 159 (1982), pp. 29-52, JSTOR, ISSN 0025-5718 [Gateway.cgi], [doi]
  44. Beale, JT; MAJDA, A, Vortex Methods 1: Convergence in 3 Dimensions, MATHEMATICS OF COMPUTATION, vol. 39 no. 159 (1982), pp. 1-27, American Mathematical Society (AMS), ISSN 0025-5718 [Gateway.cgi], [doi]
  45. Beale, JT, The initial value problem for the navier‐stokes equations with a free surface, Communications on Pure and Applied Mathematics, vol. 34 no. 3 (January, 1981), pp. 359-392, WILEY, ISSN 0010-3640 [doi]
  46. Beale, JT; MAJDA, A, Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations, MATHEMATICS OF COMPUTATION, vol. 37 no. 156 (1981), pp. 243-259, JSTOR, ISSN 0025-5718 [Gateway.cgi], [doi]
  47. Beale, JT, Water-Waves Generated by a Pressure Disturbance on a Steady Stream, DUKE MATHEMATICAL JOURNAL, vol. 47 no. 2 (1980), pp. 297-323, Duke University Press, ISSN 0012-7094 [Gateway.cgi], [doi]
  48. Beale, JT, The existence of cnoidal water waves with surface tension, Journal of Differential Equations, vol. 31 no. 2 (January, 1979), pp. 230-263, Elsevier BV, ISSN 0022-0396 [doi]
  49. Beale, JT, The existence of solitary water waves, Communications on Pure and Applied Mathematics, vol. 30 no. 4 (July, 1977), pp. 373-389, WILEY, ISSN 0010-3640 [doi]
  50. Beale, JT, Eigenfunction expansions for objects floating in an open sea, Communications on Pure and Applied Mathematics, vol. 30 no. 3 (May, 1977), pp. 283-313, WILEY, ISSN 0010-3640 [doi]
  51. BEALE, JT, ACOUSTIC SCATTERING FROM LOCALLY REACTING SURFACES, INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 26 no. 2 (1977), pp. 199-222 [doi]  [abs]
  52. Beale, JT, Spectral Properties of an Acoustic Boundary Condition, Indiana University Mathematics Journal, vol. 25 no. 9 (1976), pp. 895-917  [abs]
  53. Beale, JT, Purely imaginary scattering frequencies for exterior domains, Duke Mathematical Journal, vol. 41 no. 3 (September, 1974), pp. 607-637, Duke University Press, ISSN 0012-7094 [doi]
  54. Beale, JT; Rosencrans, SI, Acoustic boundary conditions, Bulletin of the American Mathematical Society, vol. 80 no. 6 (January, 1974), pp. 1276-1278, American Mathematical Society (AMS), ISSN 0002-9904 [doi]
  55. Beale, JT, Scattering frequencies of resonators, Communications on Pure and Applied Mathematics, vol. 26 no. 4 (January, 1973), pp. 549-563, WILEY, ISSN 0010-3640 [doi]
  56. J. T. Beale, Methods for computing singular and nearly singular integrals, J. Turbulence, vol. 3, (2002), article 041 (4 pp.) [pdf]
  57. 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.
  58. 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]
  59. 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.
  60. 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.
  61. 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.
  62. 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.
  63. 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.
  64. 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.
  65. 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.
  66. 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.
  67. 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.
  68. 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.
  69. J. T. Beale, A convergent three-dimensional vortex method with grid-free stretching, Math. Comp. 46 (1986), 401-24 and S15-S20.
  70. J. T. Beale, Large-time regularity of viscous surface waves, Arch. Rational Mech. Anal. 84 (1984), 307-52.
  71. J. T. Beale, A. Majda, Vortex methods for fluid flow in two or three dimensions, Contemp. Math. 28 (1984), 221-29.
  72. J. T. Beale, Large-time regularity of viscous surface waves, Contemp. Math. 17 (1983), 31-33.
  73. J. T. Beale, A. Majda, Vortex methods I: Convergence in three dimensions, Math. Comp. 39 (1982), 1-27.
  74. 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.

Harer, John

  1. Motta, FC; McGoff, K; Moseley, RC; Cho, C-Y; Kelliher, CM; Smith, LM; Ortiz, MS; Leman, AR; Campione, SA; Devos, N; Chaorattanakawee, S; Uthaimongkol, N; Kuntawunginn, W; Thongpiam, C; Thamnurak, C; Arsanok, M; Wojnarski, M; Vanchayangkul, P; Boonyalai, N; Smith, PL; Spring, MD; Jongsakul, K; Chuang, I; Harer, J; Haase, SB, The parasite intraerythrocytic cycle and human circadian cycle are coupled during malaria infection., Proceedings of the National Academy of Sciences of the United States of America, vol. 120 no. 24 (June, 2023), pp. e2216522120 [doi]  [abs]
  2. Motta, FC; McGoff, KA; Deckard, A; Wolfe, CR; Bonsignori, M; Moody, MA; Cavanaugh, K; Denny, TN; Harer, J; Haase, SB, Assessment of Simulated Surveillance Testing and Quarantine in a SARS-CoV-2-Vaccinated Population of Students on a University Campus., JAMA Health Forum, vol. 2 no. 10 (October, 2021), pp. e213035 [doi]  [abs]
  3. Smith, AD; Bendich, P; Harer, J, PERSISTENT OBSTRUCTION THEORY FOR A MODEL CATEGORY OF MEASURES WITH APPLICATIONS TO DATA MERGING, Transactions of the American Mathematical Society Series B, vol. 8 no. 1 (February, 2021), pp. 1-38 [doi]  [abs]
  4. Denny, TN; Andrews, L; Bonsignori, M; Cavanaugh, K; Datto, MB; Deckard, A; DeMarco, CT; DeNaeyer, N; Epling, CA; Gurley, T; Haase, SB; Hallberg, C; Harer, J; Kneifel, CL; Lee, MJ; Louzao, R; Moody, MA; Moore, Z; Polage, CR; Puglin, J; Spotts, PH; Vaughn, JA; Wolfe, CR, Implementation of a Pooled Surveillance Testing Program for Asymptomatic SARS-CoV-2 Infections on a College Campus - Duke University, Durham, North Carolina, August 2-October 11, 2020., MMWR Morb Mortal Wkly Rep, vol. 69 no. 46 (November, 2020), pp. 1743-1747 [doi]  [abs]
  5. Smith, LM; Motta, FC; Chopra, G; Moch, JK; Nerem, RR; Cummins, B; Roche, KE; Kelliher, CM; Leman, AR; Harer, J; Gedeon, T; Waters, NC; Haase, SB, An intrinsic oscillator drives the blood stage cycle of the malaria parasite Plasmodium falciparum., Science (New York, N.Y.), vol. 368 no. 6492 (May, 2020), pp. 754-759 [doi]  [abs]
  6. Tralie, CJ; Bendich, P; Harer, J, Multi-Scale Geometric Summaries for Similarity-Based Sensor Fusion, IEEE Aerospace Conference Proceedings, vol. 2019-March (March, 2019), ISBN 9781538668542 [doi]  [abs]
  7. Garagić, D; Peskoe, J; Liu, F; Claffey, MS; Bendich, P; Hineman, J; Borggren, N; Harer, J; Zulch, P; Rhodes, BJ, Upstream fusion of multiple sensing modalities using machine learning and topological analysis: An initial exploration, IEEE Aerospace Conference Proceedings, vol. 2018-March (June, 2018), pp. 1-8, IEEE, ISBN 9781538620144 [doi]  [abs]
  8. Tralie, CJ; Smith, A; Borggren, N; Hineman, J; Bendich, P; Zulch, P; Harer, J, Geometric Cross-Modal Comparison of Heterogeneous Sensor Data, Proceedings of the 39th IEEE Aerospace Conference, vol. 2018-March (March, 2018), pp. 1-10, IEEE, ISBN 9781538620144 [doi]  [abs]
  9. Bendich, P; Gasparovic, E; Harer, J; Tralie, CJ, Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology, vol. 13 (January, 2018), pp. 93-114 [doi]  [abs]
  10. Hughes, ME; Abruzzi, KC; Allada, R; Anafi, R; Arpat, AB; Asher, G; Baldi, P; de Bekker, C; Bell-Pedersen, D; Blau, J; Brown, S; Ceriani, MF; Chen, Z; Chiu, JC; Cox, J; Crowell, AM; DeBruyne, JP; Dijk, D-J; DiTacchio, L; Doyle, FJ; Duffield, GE; Dunlap, JC; Eckel-Mahan, K; Esser, KA; FitzGerald, GA; Forger, DB; Francey, LJ; Fu, Y-H; Gachon, F; Gatfield, D; de Goede, P; Golden, SS; Green, C; Harer, J; Harmer, S; Haspel, J; Hastings, MH; Herzel, H; Herzog, ED; Hoffmann, C; Hong, C; Hughey, JJ; Hurley, JM; de la Iglesia, HO; Johnson, C; Kay, SA; Koike, N; Kornacker, K; Kramer, A; Lamia, K; Leise, T; Lewis, SA; Li, J; Li, X; Liu, AC; Loros, JJ; Martino, TA; Menet, JS; Merrow, M; Millar, AJ; Mockler, T; Naef, F; Nagoshi, E; Nitabach, MN; Olmedo, M; Nusinow, DA; Ptáček, LJ; Rand, D; Reddy, AB; Robles, MS; Roenneberg, T; Rosbash, M; Ruben, MD; Rund, SSC; Sancar, A; Sassone-Corsi, P; Sehgal, A; Sherrill-Mix, S; Skene, DJ; Storch, K-F; Takahashi, JS; Ueda, HR; Wang, H; Weitz, C; Westermark, PO; Wijnen, H; Xu, Y; Wu, G; Yoo, S-H; Young, M; Zhang, EE; Zielinski, T; Hogenesch, JB, Guidelines for Genome-Scale Analysis of Biological Rhythms., Journal of biological rhythms, vol. 32 no. 5 (October, 2017), pp. 380-393 [doi]  [abs]
  11. Bendich, P; Chin, SP; Clark, J; DeSena, J; Harer, J; Munch, E; Newman, A; Porter, D; Rouse, D; Strawn, N; Watkins, A, Topological and statistical behavior classifiers for tracking applications, IEEE Transactions on Aerospace and Electronic Systems, vol. 52 no. 6 (December, 2016), pp. 2644-2661, Institute of Electrical and Electronics Engineers (IEEE) [doi]  [abs]
  12. McGoff, KA; Guo, X; Deckard, A; Kelliher, CM; Leman, AR; Francey, LJ; Hogenesch, JB; Haase, SB; Harer, JL, The Local Edge Machine: inference of dynamic models of gene regulation., Genome biology, vol. 17 no. 1 (October, 2016), pp. 214 [doi]  [abs]
  13. Bendich, P; Gasparovic, E; Harer, J; Tralie, C, Geometric Models for Musical Audio Data, Proceedings of the 32st International Symposium on Computational Geometry (SOCG) (June, 2016)
  14. Bendich, P; Gasparovic, E; Harer, J; Tralie, C, Geometric models for musical audio data, Leibniz International Proceedings in Informatics, LIPIcs, vol. 51 (June, 2016), pp. 65.1-65.5, ISBN 9783959770095 [doi]  [abs]
  15. Bendich, P; Gasparovic, E; Harer, J; Izmailov, R; Ness, L, Multi-scale local shape analysis and feature selection in machine learning applications, Proceedings of the International Joint Conference on Neural Networks, vol. 2015-September (September, 2015), IEEE, ISBN 9781479919604 [doi]  [abs]
  16. Perea, JA; Deckard, A; Haase, SB; Harer, J, SW1PerS: Sliding windows and 1-persistence scoring; discovering periodicity in gene expression time series data., BMC bioinformatics, vol. 16 (August, 2015), pp. 257 [doi]  [abs]
  17. Perea, JA; Harer, J, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics, vol. 15 no. 3 (June, 2015), pp. 799-838, Springer Nature [1307.6188v2], [doi]  [abs]
  18. Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fréchet means for time varying persistence diagrams, Electronic Journal of Statistics, vol. 9 no. 1 (January, 2015), pp. 1173-1204, Institute of Mathematical Statistics [1307.6530v3], [doi]  [abs]
  19. Rouse, D; Watkins, A; Porter, D; Harer, J; Bendich, P; Strawn, N; Munch, E; Desena, J; Clarke, J; Gilbert, J; Chin, S; Newman, A, Feature-aided multiple hypothesis tracking using topological and statistical behavior classifiers, Proceedings of SPIE - The International Society for Optical Engineering, vol. 9474 (January, 2015), SPIE, ISSN 10.1117/12.2179555, ISBN 9781628415902 [doi]  [abs]
  20. Farr, RS; Harer, JL; Fink, TMA, Easily repairable networks: reconnecting nodes after damage., Physical review letters, vol. 113 no. 13 (September, 2014), pp. 138701, ISSN 0031-9007 [doi]  [abs]
  21. Bristow, SL; Leman, AR; Simmons Kovacs, LA; Deckard, A; Harer, J; Haase, SB, Checkpoints couple transcription network oscillator dynamics to cell-cycle progression., Genome biology, vol. 15 no. 9 (September, 2014), pp. 446 [doi]  [abs]
  22. Turner, K; Mileyko, Y; Mukherjee, S; Harer, J, Fréchet Means for Distributions of Persistence Diagrams, Discrete and Computational Geometry, vol. 52 no. 1 (January, 2014), pp. 44-70, Springer Nature, ISSN 0179-5376 [arXiv:1206.2790], [doi]  [abs]
  23. E. Munch, P. Bendich, K. Turner, S. Mukherjee, J. Mattingly and J. Harer, Probabilistic Frechet Means and Statistics on Vineyards, Foundations of Computational Math (2014)  [abs]
  24. J. Perea, A. Deckard, S. Haase and J. Harer, Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data, BMC Bioinformatics (2014)  [abs]
  25. K.A. McGoff, X. Guo, A. Deckard, A.R. Leman, C.M. Kelliher, S.B. Haase, and J.L. Harer, The Local Edge Machine: Inference of dynamic models of gene regulation, Nature Methods (2014)  [abs]
  26. P. Bendich, S. Chin, J. Clarke, J. deSena, J. Harer, E. Munch, A. Newman, D. Porter, D. Rouse, N. Strawn, and A. Watkins, Topological and Statistical Behavior Classifiers for Tracking Applications, IEEE Trans. on Aerospace and Electronic Systems (2014)  [abs]
  27. P. Bendich, Jacob Harer and John Harer, A Persistent Homology Based Geodesic Distance Estimator, Journal of Machine Learning Research (2014)  [author's comments]
  28. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2014) (http://arxiv.org/abs/1307.6530.)  [abs]
  29. Turner, K; Mileyko, Y; Mukherjee, S; Harer, J, Fréchet Means for Distributions of Persistence Diagrams, Discrete & Computational Geometry (2014) [1206.2790v2]  [abs]
  30. Topp, CN; Iyer-Pascuzzi, AS; Anderson, JT; Lee, C-R; Zurek, PR; Symonova, O; Zheng, Y; Bucksch, A; Mileyko, Y; Galkovskyi, T; Moore, BT; Harer, J; Edelsbrunner, H; Mitchell-Olds, T; Weitz, JS; Benfey, PN, 3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture., Proceedings of the National Academy of Sciences of the United States of America, vol. 110 no. 18 (April, 2013), pp. E1695-E1704 [23580618], [doi]  [abs]
  31. 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]
  32. J. Perea, A. Deckard, S. Haase and J. Harer, Applications of SWiPerS to the discovery of periodic genes (2013)
  33. 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]
  34. Topp, ; CN, ; Iyer-Pascuzzi, AS; Anderson, JT; Lee, C-R; Zurek, PR; Symonova, O; Zheng, Y; Bucksch, A; Milyeko, Y; Galkovskyi, T; Moore, BT; Harer, J; Edelsbrunner, H; Mitchell-Olds, T; Weitz, JS; Benfey, PN, 3-dimensional phenotyping of growing root systems and QTL mapping identifies core regions of the rice genome controlling root architecture, PNAS, vol. 110 (2013), pp. E1695-1704
  35. Munch, E; Shapiro, M; Harer, J, Failure filtrations for fenced sensor networks, International Journal of Robotics Research, vol. 31 no. 9 (August, 2012), pp. 1044-1056, SAGE Publications [1109.6535v1], [doi]  [abs]
  36. Galkovskyi, T; Mileyko, Y; Bucksch, A; Moore, B; Symonova, O; Price, CA; Topp, CN; Iyer-Pascuzzi, AS; Zurek, PR; Fang, S; Harer, J; Benfey, PN; Weitz, JS, GiA Roots: software for the high throughput analysis of plant root system architecture., BMC plant biology, vol. 12 no. 116 (July, 2012), pp. 116 [22834569], [doi]  [abs]
  37. Bendich, P; Harer, J; Harer, J, Persistent Homology Enhanced Dimension Reduction, Foundations of Computational Mathematics (2012)
  38. Michael Jenista, , Realizing Boolean Dynamics in Switching Networks, Siam Journal of Applied Dynamical Systems (2012), pp. 12  [abs]
  39. Deckard, A; Anafi, RC; Hogenesch, JB; Haase, SB; Harer, J, Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data, PLOS Computational Biology, vol. 29 no. 24 (2012), pp. 3174-3180 [doi]  [abs]
  40. Bendich, P; Galkovskyi, T; Harer, J, Improving homology estimates with random walks, Inverse Problems, vol. 27 no. 12 (December, 2011), pp. 124002-124002, IOP Publishing, ISSN 0266-5611 [doi]  [abs]
  41. Mileyko, Y; Mukherjee, S; Harer, J, Probability measures on the space of persistence diagrams, Inverse Problems, vol. 27 no. 12 (December, 2011), pp. 124007-124007, IOP Publishing, ISSN 0266-5611 [doi]  [abs] [author's comments]
  42. Bendich, P; Harer, J, Persistent Intersection Homology, Foundations of Computational Mathematics, vol. 11 no. 3 (June, 2011), pp. 305-336, Springer Nature, ISSN 1615-3375 [doi]  [abs]
  43. 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)
  44. Bini, G; Harer, J, Euler characteristics of moduli spaces of curves, Journal of the European Mathematical Society, vol. 13 no. 2 (December, 2010), pp. 487-512, European Mathematical Society - EMS - Publishing House GmbH [doi]
  45. Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Mileyko, Y, Lipschitz functions have Lp-stable persistence, Foundations of Computational Mathematics, vol. 10 no. 2 (April, 2010), pp. 127-139, Springer Nature, ISSN 1615-3375 [available here], [doi]  [abs]
  46. Iyer-Pascuzzi, AS; Symonova, O; Mileyko, Y; Hao, Y; Belcher, H; Harer, J; Weitz, JS; Benfey, PN, Imaging and analysis platform for automatic phenotyping and trait ranking of plant root systems., Plant physiology, vol. 152 no. 3 (March, 2010), pp. 1148-1157 [20107024], [doi]  [abs]
  47. Edelsbrunner, H; Harer, J, Computational Topology - an Introduction. (2010), American Mathematical Society, ISBN 978-0-8218-4925-5 (http://www.ams.org/bookstore-getitem/item=mbk-69.)  [abs]
  48. Edelsbrunner, H; Harer, J, The persistent Morse complex segmentation of a 3-manifold, in 3D Physiological Human Workshop, 2009, Lecture Notes Comp. Sci., edited by N. Magnenat-Thalmann, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5903 LNCS (December, 2009), pp. 36-50, Springer Berlin Heidelberg, ISSN 0302-9743 [doi]  [abs]
  49. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Extending persistence using poincaré and lefschetz duality (Foundations of Computational Mathematics DOI 10.1007/s10208-008-9027-z), Foundations of Computational Mathematics, vol. 9 no. 1 (February, 2009), pp. 133-134, Springer Nature, ISSN 1615-3375 [doi]
  50. Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D, Persistent homology for kernels, images, and cokernels, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (January, 2009), pp. 1011-1020 [available here], [doi]  [abs]
  51. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Extending persistence using poincaré and lefschetz duality, Foundations of Computational Mathematics, vol. 9 no. 1 (January, 2009), pp. 79-103, Springer Nature, ISSN 1615-3375 [doi]  [abs]
  52. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2009)
  53. Fink, T; Ahnert, S; Bar On, R; Harer, J, Exact dynamics of Boolean networks with connectivity one, PRL (2009)  [abs]
  54. Edelsbrunner, H; Harer, J; Patel, AK, Reeb spaces of piecewise linear mappings, Proceedings of the Annual Symposium on Computational Geometry (December, 2008), pp. 242-250, ACM Press [doi]  [abs]
  55. Edelsbrunner, H; Harer, J; Mascarenhas, A; Pascucci, V; Snoeyink, J, Time-varying Reeb graphs for continuous space-time data, Computational Geometry: Theory and Applications, vol. 41 no. 3 (November, 2008), pp. 149-166, Elsevier BV, ISSN 0925-7721 [doi]  [abs]
  56. Edelsbrunner, H; Harer, J, Persistent homology - a survey, edited by Goodman, JE; Pach, J; Pollack, R, SURVEYS ON DISCRETE AND COMPUTATIONAL GEOMETRY: TWENTY YEARS LATER, vol. 453 (January, 2008), pp. 257-+, AMER MATHEMATICAL SOC, ISBN 978-0-8218-4239-3 [pdf]  [abs]
  57. 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]
  58. Bendice, P; Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D, Inferring local homology from sampled stratified spaces, Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS (December, 2007), pp. 536-546, IEEE, ISSN 0272-5428 [available here], [doi]  [abs]
  59. Czumaj, A; Sohler, C, Testing Expansion in Bounded-Degree Graphs, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07) (October, 2007), pp. 536-546, IEEE, ISBN 9780769530109 [doi]
  60. Bendich, P; Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D, Inferring Local Homology from Sampled Stratified Spaces, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07) (October, 2007), pp. 536-546, IEEE, ISBN 9780769530109 [doi]
  61. Attali, D; Edelsbrunner, H; Harer, J; Mileyko, Y, Alpha-beta witness complexes, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4619 LNCS (January, 2007), pp. 386-397, ISSN 0302-9743 [doi]  [abs]
  62. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams, Discrete and Computational Geometry, vol. 37 no. 1 (January, 2007), pp. 103-120, Springer Nature, ISSN 0179-5376 [doi]  [abs] [author's comments]
  63. Agarwal, PK; Edelsbrunner, H; Harer, J; Wang, Y, Extreme elevation on a 2-manifold, Discrete and Computational Geometry, vol. 36 no. 4 (January, 2006), pp. 553-572, Springer Nature, ISSN 0179-5376 [doi]  [abs]
  64. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams, Proceedings of the Annual Symposium on Computational Geometry (December, 2005), pp. 263-271, ACM Press [doi]  [abs]
  65. with Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, Local and global comparison of continuous functions, IEEE Visualization 2004 - Proceedings, VIS 2004 (December, 2004), pp. 275-280, IEEE Comput. Soc [doi]  [abs]
  66. with Edelsbrunner, H; Harer, J; Mascarenhas, A; Pascucci, V, Time-varying Reeb graphs for continuous space-time data, Proceedings of the Annual Symposium on Computational Geometry (January, 2004), pp. 366-372 [doi]  [abs]
  67. with Agarwal, PK; Edelsbrunner, H; Harer, J; Wang, Y, Extreme elevation on a 2-manifold, Proceedings of the Annual Symposium on Computational Geometry (January, 2004), pp. 357-365 [doi]  [abs]
  68. with Cole-McLaughlin, K; Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, Loops in Reeb graphs of 2-manifolds, Discrete and Computational Geometry, vol. 32 no. 2 (January, 2004), pp. 231-244, Springer Nature [doi]  [abs]
  69. with H. Edelsbrunner, Persistent Morse Complex Segmentation of a 3-Manifold, Raindrop Geomagic Technical Report, vol. 066 (2004)  [abs] [author's comments]
  70. with Collins, AD; Agarwal, PK; Harer, JL, HPRM: A hierarchical PRM, Proceedings - IEEE International Conference on Robotics and Automation, vol. 3 (December, 2003), pp. 4433-4438  [abs]
  71. with Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, Morse-Smale complexes for piecewise linear 3-manifolds, Proceedings of the Annual Symposium on Computational Geometry (January, 2003), pp. 361-370 [doi]  [abs]
  72. Edelsbrunner, H; Harer, J; Zomorodian, A, Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds, Discrete and Computational Geometry, vol. 30 no. 1 (January, 2003), pp. 87-107, Springer Nature, ISSN 0179-5376 [doi]  [abs]
  73. Cole-McLaughlin, K; Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, Loops in Reeb graphs of 2-manifolds, Proceedings of the Annual Symposium on Computational Geometry (January, 2003), pp. 344-350 [doi]  [abs]
  74. 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]
  75. Goulden, IP; Harer, JL; Jackson, DM, A geometric parametrization for the virtual euler characteristics of the moduli spaces of real and complex algebraic curves, Transactions of the American Mathematical Society, vol. 353 no. 11 (January, 2001), pp. 4405-4427, ISSN 0002-9947 [MR1851176], [doi]  [abs]
  76. Edelsbrunner, H; Harer, J; Zomorodian, A, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proceedings of the Annual Symposium on Computational Geometry (January, 2001), pp. 70-79 [doi]  [abs]
  77. Agarwal, PK; Collins, AD; Harer, JL, Minimal trap design, Proceedings - IEEE International Conference on Robotics and Automation, vol. 3 (January, 2001), pp. 2243-2248, IEEE [doi]  [abs]
  78. Bern, M; Eppstein, D; Agarwal, PK; Amenta, N; Chew, P; Dey, T; Dobkin, DP; Edelsbrunner, H; Grimm, C; Guibas, LJ; Harer, J; Hass, J; Hicks, A; Johnson, CK; Lerman, G; Letscher, D; Plassmann, P; Sedgwick, E; Snoeyink, J; Weeks, J; Yap, C; Zorin, D, Emerging Challenges in Computational Topology, vol. cs.CG/9909001 (September, 1999)  [abs]
  79. Harer, J, The third homology group of the moduli space of curves, Duke Mathematical Journal, vol. 63 no. 1 (January, 1991), pp. 25-55, Duke University Press [doi]
  80. Harer, JL, Stability of the homology of the moduli spaces of Riemann surfaces with spin structure, Mathematische Annalen, vol. 287 no. 1 (March, 1990), pp. 323-334, Springer Nature, ISSN 0025-5831 [MR91e:57002], [doi]
  81. Harer, J; Zagier, D, The Euler characteristic of the moduli space of curves, Inventiones Mathematicae, vol. 85 no. 3 (October, 1986), pp. 457-485, ISSN 1435-9855 [doi]  [abs]
  82. Harer, JL, The virtual cohomological dimension of the mapping class group of an orientable surface, Inventiones Mathematicae, vol. 84 no. 1 (February, 1986), pp. 157-176, Springer Nature, ISSN 0020-9910 [MR87c:32030], [doi]
  83. HARER, J; KAS, A; KIRBY, R, HANDLEBODY STRUCTURES FOR COMPLEX-SURFACES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 62 no. 350 (1986), pp. 1-102
  84. Harer, J, The second homology group of the mapping class group of an orientable surface, Inventiones Mathematicae, vol. 72 no. 2 (June, 1983), pp. 221-239, Springer Nature, ISSN 0020-9910 [MR84g:57006], [doi]
  85. Harer, J, How to construct all fibered knots and links, Topology, vol. 21 no. 3 (January, 1982), pp. 263-280, Elsevier BV, ISSN 0040-9383 [MR83e:57007], [doi]
  86. Harer, J, On Almost-Everywhere Convergent Eigenfunction Expansions of the Laplace-Beltrami Operator, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 92 no. 1 (January, 1982), pp. 133-138, Cambridge University Press (CUP) [doi]  [abs]
  87. Casson, AJ; Harer, JL, Some homology lens spaces which bound rational homology balls, Pacific Journal of Mathematics, vol. 96 no. 1 (January, 1981), pp. 23-36, Mathematical Sciences Publishers [MR83h:57013], [doi]  [abs]
  88. Harer, J, On handlebody structures for hypersurfaces in ℂ3 and ℂP3, Mathematische Annalen, vol. 238 no. 1 (February, 1978), pp. 51-58, Springer Nature, ISSN 0025-5831 [MR80d:57020], [doi]
  89. John Harer, Algorithms for Enumerating Triangulations and Other Maps in Surfaces, 1998 , preprint 1998
  90. John Harer, An Alternative Approach to Trap Design for Vibratory Bowl Feeders, 1998 , preprint 1998
  91. John Harer, The Euler Characteristic of the Deligne-Mumford Compactification of the Moduli Space of Curves, 1996 , preprint 1996
  92. 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]
  93. Penner, R. C. and Harer, J. L., Combinatorics of train tracks, pp. xii+216, 1992, Princeton University Press, Princeton, NJ [MR94b:57018]
  94. 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]
  95. 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]
  96. 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]
  97. 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]
  98. 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]
  99. 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]
  100. 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]

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]

Maggioni, Mauro

  1. Murphy, JM; Maggioni, M, Unsupervised Clustering and Active Learning of Hyperspectral Images with Nonlinear Diffusion, Ieee Transactions on Geoscience and Remote Sensing, vol. 57 no. 3 (March, 2019), pp. 1829-1845, Institute of Electrical and Electronics Engineers (IEEE) [doi]  [abs]
  2. Vogelstein, JT; Bridgeford, EW; Wang, Q; Priebe, CE; Maggioni, M; Shen, C, Discovering and deciphering relationships across disparate data modalities., Elife, vol. 8 (January, 2019) [doi]  [abs]
  3. Escande, P; Debarnot, V; Maggioni, M; Mangeat, T; Weiss, P, Learning and exploiting physics of degradations, Optics Infobase Conference Papers, vol. Part F105-MATH 2018 (January, 2018), OSA, ISBN 9781557528209 [doi]  [abs]
  4. Murphy, JM; Maggioni, M, Diffusion geometric methods for fusion of remotely sensed data, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 10644 (January, 2018), SPIE, ISBN 9781510617995 [doi]  [abs]
  5. Little, AV; Maggioni, M; Rosasco, L, Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature, Applied and Computational Harmonic Analysis, vol. 43 no. 3 (November, 2017), pp. 504-567, Elsevier BV [doi]  [abs]
  6. Wang, YG; Maggioni, M; Chen, G, Enhanced detection of chemical plumes in hyperspectral images and movies throughimproved backgroundmodeling, Workshop on Hyperspectral Image and Signal Processing, Evolution in Remote Sensing, vol. 2015-June (October, 2017), IEEE, ISBN 9781467390156 [doi]  [abs]
  7. Gerber, S; Maggioni, M, Multiscale strategies for computing optimal transport, Journal of Machine Learning Research, vol. 18 (August, 2017), pp. 1-32  [abs]
  8. Bongini, M; Fornasier, M; Hansen, M; Maggioni, M, Inferring interaction rules from observations of evolutive systems I: The variational approach, Mathematical Models and Methods in Applied Sciences, vol. 27 no. 5 (May, 2017), pp. 909-951, World Scientific Pub Co Pte Lt [doi]  [abs]
  9. Tomita, TM; Maggioni, M; Vogelstein, JT, ROFLMAO: Robust oblique forests with linear MAtrix operations, Proceedings of the 17th Siam International Conference on Data Mining, Sdm 2017 (January, 2017), pp. 498-506, ISBN 9781611974874  [abs]
  10. Crosskey, M; Maggioni, M, ATLAS: A geometric approach to learning high-dimensional stochastic systems near manifolds, Multiscale Modeling & Simulation, vol. 15 no. 1 (January, 2017), pp. 110-156, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  11. Liao, W; Maggioni, M; Vigogna, S, Learning adaptive multiscale approximations to data and functions near low-dimensional sets, 2016 Ieee Information Theory Workshop, Itw 2016 (October, 2016), pp. 226-230, IEEE, ISBN 9781509010905 [doi]  [abs]
  12. Goetzmann, WN; Jones, PW; Maggioni, M; Walden, J, Beauty is in the bid of the beholder: An empirical basis for style, Research in Economics, vol. 70 no. 3 (September, 2016), pp. 388-402, Elsevier BV [doi]  [abs]
  13. Wang, Y; Chen, G; Maggioni, M, High-Dimensional Data Modeling Techniques for Detection of Chemical Plumes and Anomalies in Hyperspectral Images and Movies, Ieee Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol. 9 no. 9 (September, 2016), pp. 4316-4324, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1939-1404 [doi]  [abs]
  14. Yin, R; Monson, E; Honig, E; Daubechies, I; Maggioni, M, Object recognition in art drawings: Transfer of a neural network, 2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 2016-May (May, 2016), pp. 2299-2303, IEEE, ISSN 1520-6149, ISBN 9781479999880 [doi]  [abs]
  15. Maggioni, M; Minsker, S; Strawn, N, Multiscale dictionary learning: Non-asymptotic bounds and robustness, Journal of Machine Learning Research, vol. 17 (January, 2016), ISSN 1532-4435 (accepted for publication.) [arxiv:1401.5833]  [abs]
  16. Maggioni, M, Geometry of data and biology, Notices of the American Mathematical Society, vol. 62 no. 10 (January, 2015), pp. 1185-1188, American Mathematical Society (AMS), ISSN 0002-9920 [doi]
  17. Maggioni, M; Minsker, S; Strawn, N, Geometric multi-resolution analysis for dictionary learning, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 9597 (January, 2015), SPIE, ISSN 0277-786X, ISBN 9781628417630 [doi]  [abs]
  18. M. Crosskey, M. Maggioni, ATLAS: A geometric approach to learning high-dimensional stochastic systems near manifolds, SIAM Journ. Mult. Model. Simul. (2015)
  19. T. Tomita, J. Vogelstein, M. Maggioni, Randomer Forests (2015)
  20. M. Maggioni, S. Minsker, N. Strawn, Multiscale Dictionary and Manifold Learning: Non-Asymptotic Bounds for the Geometric Multi-Resolution Analysis, in Proc. iTWIST’14: international - Traveling Workshop on Interactions between Sparse models and Technology (August, 2014)
  21. Altemose, N; Miga, KH; Maggioni, M; Willard, HF, Genomic characterization of large heterochromatic gaps in the human genome assembly., Plos Computational Biology, vol. 10 no. 5 (May, 2014), pp. e1003628, ISSN 1553-734X [doi]  [abs]
  22. M. Crosskey, M. Maggioni, ATLAS: A geometric approach to learning high-dimensional stochastic systems near manifolds (2014) [arXiv:1404.0667]
  23. Gerber, S; Maggioni, M, Multiscale dictionaries, transforms, and learning in high-dimensions, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 8858 (December, 2013), SPIE, ISSN 0277-786X, ISBN 9780819497086 [Gateway.cgi], [doi]  [abs]
  24. M. Maggioni, Geometric Estimation of Probability Measures in High-Dimensions, Proc. IEEE Asilomar Conference (November, 2013)
  25. Coppola, A; Wenner, BR; Ilkayeva, O; Stevens, RD; Maggioni, M; Slotkin, TA; Levin, ED; Newgard, CB, Branched-chain amino acids alter neurobehavioral function in rats., American journal of physiology. Endocrinology and metabolism, vol. 304 no. 4 (February, 2013), pp. E405-E413 [23249694], [doi]  [abs]
  26. Maggioni, M, Geometric estimation of probability measures in high-dimensions, Conference Record Asilomar Conference on Signals, Systems and Computers (January, 2013), pp. 1363-1367, IEEE, ISSN 1058-6393 [doi]  [abs]
  27. Krishnamurthy, K; Mrozack, A; Maggioni, M; Brady, D, Multiscale, dictionary-based speckle denoising, in Proc. Computational Optical Sensing and Imaging, Optics Infobase Conference Papers (January, 2013), ISBN 978-1-55752-975-6 [doi]  [abs]
  28. Chen, G; Little, AV; Maggioni, M, Multi-resolution geometric analysis for data in high dimensions, in Applied and Numerical Harmonic Analysis, vol. 1 (January, 2013), pp. 259-285, Birkhäuser Boston, ISBN 9780817683757 [doi]  [abs]
  29. Bouvrie, J; Maggioni, M, Efficient solution of Markov decision problems with multiscale representations, 2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012 (December, 2012), pp. 474-481, IEEE [doi]  [abs]
  30. Bouvrie, J; Maggioni, M, Geometric multiscale reduction for autonomous and controlled nonlinear systems, in Proc. IEEE Conference on Decision and Control (CDC), Proceedings of the Ieee Conference on Decision and Control (December, 2012), pp. 4320-4327, IEEE, ISBN 9781467320658 [mostRecentIssue.jsp], [doi]  [abs]
  31. Chen, G; Iwen, M; Chin, S; Maggioni, M, A fast multiscale framework for data in high-dimensions: Measure estimation, anomaly detection, and compressive measurements, 2012 Ieee Visual Communications and Image Processing, Vcip 2012 (December, 2012), pp. 1-6, IEEE, ISBN 9781467344050 [mostRecentIssue.jsp], [doi]  [abs]
  32. Allard, WK; Chen, G; Maggioni, M, Multi-scale geometric methods for data sets II: Geometric Multi-Resolution Analysis, Applied and Computational Harmonic Analysis, vol. 32 no. 3 (May, 2012), pp. 435-462, Elsevier BV, ISSN 1063-5203 [doi]  [abs]
  33. Iwen, MA; Maggioni, M, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, vol. 2 (February, 2013) [1204.3337v1], [doi]  [abs]
  34. Maggioni, M, What is...data mining?, A.M.S. Notices (April, 2012) [pdf]
  35. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature (2012)
  36. J. Bouvrie, M. Maggioni, Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning (2012) [1212.1143]
  37. Zheng, W; Rohrdanz, MA; Maggioni, M; Clementi, C, Polymer reversal rate calculated via locally scaled diffusion map., The Journal of Chemical Physics, vol. 134 no. 14 (2011), pp. 144109 [21495744], [doi]  [abs]
  38. 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
  39. Rohrdanz, MA; Zheng, W; Maggioni, M; Clementi, C, Determination of reaction coordinates via locally scaled diffusion map., The Journal of Chemical Physics, vol. 134 no. 12 (2011), pp. 124116 [21456654], [doi]  [abs]
  40. Chen, G; Maggioni, M, Multiscale geometric and spectral analysis of plane arrangements, Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition (January, 2011), pp. 2825-2832, IEEE, ISSN 1063-6919 [doi]  [abs]
  41. Chen, G; Little, AV; Maggioni, M; Rosasco, L, Some recent advances in multiscale geometric analysis of point clouds, in Applied and Numerical Harmonic Analysis (January, 2011), pp. 199-225, Birkhäuser Boston, ISBN 9780817680947 [doi]  [abs]
  42. G. Chen, M. Maggioni, Multiscale Analysis of Plane Arrangements, in Proc. C.V.P.R. (2011)
  43. G. Chen, M. Maggioni, Multiscale Geometric Dictionaries for point-cloud data, Proc. SampTA 2011 (2011)
  44. Allard, WK; Chen, G; Maggioni, M, Multiscale Geometric Methods for Data Sets II: Geometric Wavelets, CoRR, vol. abs/1105.4924 no. 3 (2012)
  45. Monson, EE; Chen, G; Brady, R; Maggioni, M, Data representation and exploration with Geometric Wavelets, 2010 Ieee Symposium on Visual Analytics Science and Technology (October, 2010), pp. 243-244, IEEE [doi]  [abs]
  46. Willinger, W; Rejaie, R; Torkjazi, M; Valafar, M; Maggioni, M, Research on online social networks: Time to face the real challenges, Acm Sigmetrics Performance Evaluation Review, vol. 37 no. 3 (August, 2010), pp. 49-54, Association for Computing Machinery (ACM), ISSN 0163-5999 [doi]  [abs]
  47. Wu, Q; Guinney, J; Maggioni, M; Mukherjee, S, Learning gradients: Predictive models that infer geometry and statistical dependence, Journal of Machine Learning Research, vol. 11 (August, 2010), pp. 2175-2198, ISSN 1532-4435 [repository]  [abs]
  48. Chen, G; Maggioni, M, Multiscale geometric wavelets for the analysis of point clouds, 2010 44th Annual Conference on Information Sciences and Systems, Ciss 2010 (February, 2010), IEEE [doi]  [abs]
  49. Jones, PW; Maggioni, M; Schul, R, Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian, Annales Academiae Scientiarum Fennicae Mathematica, vol. 35 no. 1 (January, 2010), pp. 131-174, Finnish Academy of Science and Letters, ISSN 1239-629X [0709.1975v4], [doi]  [abs]
  50. Eric E Monson, Rachael Brady, Guangliang Chen, Mauro Maggioni, Exploration & Representation of Data with Geometric Wavelets, Poster and short paper at Visweek 2010 (2010)
  51. J. Lee, M. Maggioni, Multiscale Analysis of Time Series of Graphs, Proc. SampTA 2011 (2010)
  52. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for estimating intrinsic dimension, Proc. SampTA 2011 (2010)
  53. Guinney, J; Febbo, P; Maggioni, M; Mukherjee, S, Multiscale factor models for molecular networks, JSM Proc. (2010), pp. 4887-4901, American Statistical Association, Alexandria, VA
  54. Little, AV; Lee, J; Jung, YM; Maggioni, M, Estimation of intrinsic dimensionality of samples from noisy low-dimensional manifolds in high dimensions with multiscale SVD, Ieee Workshop on Statistical Signal Processing Proceedings (December, 2009), pp. 85-88, IEEE [doi]  [abs]
  55. Little, AV; Jung, YM; Maggioni, M, Multiscale estimation of intrinsic dimensionality of data sets, Aaai Fall Symposium Technical Report, vol. FS-09-04 (December, 2009), pp. 26-33  [abs]
  56. Mahoney, MW; Maggioni, M; Drineas, P, Tensor-CUR decompositions for tensor-based data, Siam Journal on Matrix Analysis and Applications, vol. 30 no. 3 (December, 2008), pp. 957-987, Society for Industrial & Applied Mathematics (SIAM), ISSN 0895-4798 [doi]  [abs]
  57. Coifman, RR; Lafon, S; Kevrekidis, IG; Maggioni, M; Nadler, B, Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems, Multiscale Modeling & Simulation, vol. 7 no. 2 (2008), pp. 842-864, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459 [doi]  [abs]
  58. Szlam, AD; Maggioni, M; Coifman, RR, Regularization on graphs with function-adapted diffusion processes, Journal of Machine Learning Research, vol. 9 (August, 2008), pp. 1711-1739, ISSN 1532-4435  [abs]
  59. Szlam, AD; Coifman, RR; Maggioni, M, A general framework for adaptive regularization based on diffusion processes, Journ. Mach. Learn. Res. no. 9 (August, 2008), pp. 1711-1739
  60. Maggioni, M; Mhaskar, HN, Diffusion polynomial frames on metric measure spaces, Applied and Computational Harmonic Analysis, vol. 24 no. 3 (May, 2008), pp. 329-353, Elsevier BV, ISSN 1063-5203 [doi]  [abs]
  61. Jones, PW; Maggioni, M; Schul, R, Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels., Proceedings of the National Academy of Sciences of the United States of America, vol. 105 no. 6 (2008), pp. 1803-1808 [18258744], [doi]  [abs]
  62. Mahadevan, S; Maggioni, M, Proto-value functions: A Laplacian framework for learning representation and control in Markov decision processes, Journal of Machine Learning Research, vol. 8 (October, 2007), pp. 2169-2231, ISSN 1532-4435  [abs]
  63. Mahadevan, S; Maggioni, M, Proto-value Functions: A Laplacian Framework for Learning Representation and Control, Journ. Mach. Learn. Res. no. 8 (September, 2007)
  64. 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)
  65. Prichep, LS; Causevic, E; Coifman, RR; Isenhart, R; Jacquin, A; John, ER; Maggioni, M; Warner, FJ, QEEG-based classification with wavelet packet and microstate features for triage applications in the ER, 2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 3 (December, 2006), pp. III1136-III1139, ISSN 1520-6149  [abs]
  66. Maggioni, M; Mahadevan, S, 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, Acm International Conference Proceeding Series, vol. 148 (December, 2006), pp. 601-608, ACM Press [doi]  [abs]
  67. Mahadevan, S; Maggioni, M; Ferguson, K; Osentoski, S, Learning representation and control in continuous Markov decision processes, Proceedings of the National Conference on Artificial Intelligence, vol. 2 (November, 2006), pp. 1194-1199  [abs]
  68. Mahoney, MW; Maggioni, M; Drineas, P, Tensor-CUR decompositions for tensor-based data, in Proc 12-th Annual SIGKDD, Proceedings of the Acm Sigkdd International Conference on Knowledge Discovery and Data Mining, vol. 2006 (October, 2006), pp. 327-336  [abs]
  69. Maggioni, M; Mahadevan, S, Fast direct policy evaluation using multiscale analysis of Markov diffusion processes, Icml 2006 Proceedings of the 23rd International Conference on Machine Learning, vol. 2006 (October, 2006), pp. 601-608  [abs]
  70. Coifman, RR; Lafon, S; Maggioni, M; Keller, Y; Szlam, AD; Warner, FJ; Zucker, SW, Geometries of sensor outputs, inference and information processing, in Proc. SPIE, edited by Intelligent Integrated Microsystems; Ravindra A. Athale, John C. Zolper; Eds., Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 6232 (September, 2006), pp. 623209, SPIE, ISSN 0277-786X [doi]  [abs]
  71. Bremer, JC; Coifman, RR; Maggioni, M; Szlam, AD, Diffusion wavelet packets, Applied and Computational Harmonic Analysis, vol. 21 no. 1 (July, 2006), pp. 95-112, Elsevier BV, ISSN 1063-5203 [doi]  [abs]
  72. Coifman, RR; Maggioni, M, Diffusion wavelets, Applied and Computational Harmonic Analysis, vol. 21 no. 1 (July, 2006), pp. 53-94, Elsevier BV, ISSN 1063-5203 [doi]  [abs]
  73. Maggioni, M; Davis, GL; Warner, FJ; Geshwind, FB; Coppi, AC; DeVerse, RA; Coifman, RR, Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections, edited by Robert R. Alfano and Alvin Katz, Progress in Biomedical Optics and Imaging Proceedings of Spie, vol. 6091 no. 1 (May, 2006), pp. 60910I, SPIE, ISSN 1605-7422 [1], [doi]  [abs]
  74. 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)
  75. 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)
  76. 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)
  77. Arthur D Szlam and Yoel Shkolnisky and James C Bremer and Mauro Maggioni, Image Denoising Via Graph Diffusions, in preparation (2006)
  78. Sridhar Mahadevan and Mauro Maggioni, Proto-value Functions: A Spectral Framework for Solving Markov Decision Processes, submitted (2006)
  79. Peter W Jones and Mauro Maggioni and Raanan Schul, Universal parametrizations via Eigenfunctions of the Laplacian (2006)
  80. Mauro Maggioni and Ronald R Coifman, Multiscale Spectral Analysis on Data Sets with Diffusion Wavelets, in submitted (2006)
  81. Mauro Maggioni and Sridhar Mahadevan, Multiscale Diffusion Bases for Policy Iteration in Markov Decision Processes, submitted (2006)
  82. Ronald Raphel Coifman and Mauro Maggioni, Multiscale Analysis of Document Corpora (2006)
  83. Szlam, AD; Maggioni, M; Coifman, RR; Bremer, JC, 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, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 5914 no. 1 (December, 2005), pp. 1-11, SPIE, ISSN 0277-786X [1], [doi]  [abs]
  84. Maggioni, M; Bremer, JC; Coifman, RR; Szlam, AD, Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs, edited by Manos Papadakis and Andrew F. Laine and Michael A. Unser, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 5914 no. 1 (December, 2005), pp. 1-13, SPIE, ISSN 0277-786X [1], [doi]  [abs]
  85. Mahadevan, S; Maggioni, M, 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, Advances in Neural Information Processing Systems (December, 2005), pp. 843-850, ISSN 1049-5258  [abs]
  86. Coifman, RR; Maggioni, M; Zucker, SW; Kevrekidis, IG, Geometric diffusions for the analysis of data from sensor networks., Current Opinion in Neurobiology, vol. 15 no. 5 (October, 2005), pp. 576-584, ISSN 0959-4388 [16150587], [doi]  [abs]
  87. Coifman, RR; Lafon, S; Lee, AB; Maggioni, M; Nadler, B; Warner, F; Zucker, SW, Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps., Proceedings of the National Academy of Sciences of the United States of America, vol. 102 no. 21 (May, 2005), pp. 7426-7431, ISSN 0027-8424 [15899970], [doi]  [abs]
  88. Coifman, RR; Lafon, S; Lee, AB; Maggioni, M; Nadler, B; Warner, F; Zucker, SW, Geometric diffusions as a tool for harmonic analysis and structure definition of data: multiscale methods., Proceedings of the National Academy of Sciences of the United States of America, vol. 102 no. 21 (May, 2005), pp. 7432-7437, ISSN 0027-8424 [15899969], [doi]  [abs]
  89. 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)
  90. Cassidy, RJ; Berger, J; Lee, K; Maggioni, M; Coifman, RR, Analysis of hyperspectral colon tissue images using vocal synthesis models, Conference Record Asilomar Conference on Signals, Systems and Computers, vol. 2 (December, 2004), pp. 1611-1615, ISSN 1058-6393  [abs]
  91. Maggioni, M, Wavelet frames on groups and hypergroups via discretization of calderón formulas, Monatshefte F�R Mathematik, vol. 143 no. 4 (December, 2004), pp. 299-331, Springer Nature [doi]  [abs]
  92. Ferrari, S; Maggioni, M; Borghese, NA, Multiscale approximation with hierarchical radial basis functions networks., Ieee Transactions on Neural Networks, vol. 15 no. 1 (January, 2004), pp. 178-188, ISSN 1045-9227 [15387258], [doi]  [abs]
  93. William Goetzmann and Peter W Jones and Mauro Maggioni and Johan Walden, Beauty is in the eye of the beholder, submitted (2004)
  94. 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)
  95. 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)
  96. Davis, GL; Maggioni, M; Coifman, RR; Levinson, R; Rimm, D, Spatial-Spectral Analysis of Colon Carcinoma, Mod. Path. (2004)
  97. Davis, GL; Maggioni, M; Warner, FJ; Geshwind, FB; Coppi, AC; DeVerse, RA; Coifman, RR, Spectral Analysis of normal and Malignant Microarray Tissue Sections using a novel micro-optoelectrialmechanical system, Mod Pathol, vol. 17 no. 1:358A (2004)
  98. 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..)
  99. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)
  100. Chui, CK; Czaja, W; Maggioni, M; Weiss, G, Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling, Journal of Fourier Analysis and Applications, vol. 8 no. 2 (August, 2002), pp. 173-200, Springer Nature, ISSN 1069-5869 [doi]  [abs]
  101. Katz, NH; Krop, E; Maggioni, M, Remarks on the box problem, Mathematical Research Letters, vol. 9 no. 4 (January, 2002), pp. 515-519, International Press of Boston [doi]
  102. Katz, NH; Krop, E; Maggioni, M, On the box problem, Math. Research Letters, vol. 4 (2002), pp. 515-519
  103. Maggioni, M, Critical Exponent of Short Even Filters andBurt-Adelson Biorthogonal Wavelets, Monatshefte F�R Mathematik, vol. 131 no. 1 (November, 2000), pp. 49-69, Springer Nature [doi]  [abs]
  104. Maggioni, M, M-Band Burt-Adelson Biorthogonal Wavelets, Applied and Computational Harmonic Analysis, vol. 9 no. 3 (October, 2000), pp. 286-311, Elsevier BV [doi]  [abs]
  105. Mauro Maggioni, , M-Band Burt-Adelson Wavelets, Appl. Comput. Harm. Anal., vol. 3 (2000), pp. 286-311
  106. Mauro Maggioni, , Critical Exponent of Short Even Filters and Biorthogonal Burt-Adelson Wavelets, Monats. Math., vol. 131 no. 1 (2000), pp. 49-70

Mattingly, Jonathan C.   (search)

  1. Earle, G; Mattingly, JC, Convergence of stratified MCMC sampling of non-reversible dynamics, Stochastics and Partial Differential Equations: Analysis and Computations (January, 2024) [doi]  [abs]
  2. Autry, E; Carter, D; Herschlag, GJ; Hunter, Z; Mattingly, JC, METROPOLIZED FOREST RECOMBINATION FOR MONTE CARLO SAMPLING OF GRAPH PARTITIONS, SIAM Journal on Applied Mathematics, vol. 83 no. 4 (August, 2023), pp. 1366-1391, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  3. Herzog, DP; Mattingly, JC; Nguyen, HD, Gibbsian dynamics and the generalized Langevin equation, Electronic Journal of Probability, vol. 28 (January, 2023) [doi]  [abs]
  4. Zhao, Z; Hettle, C; Gupta, S; Mattingly, JC; Randall, D; Herschlag, GJ, Mathematically Quantifying Non-responsiveness of the 2021 Georgia Congressional Districting Plan, ACM International Conference Proceeding Series (October, 2022), ISBN 9781450394772 [doi]  [abs]
  5. Mattingly, JC; Romito, M; Su, L, The Gaussian structure of the singular stochastic Burgers equation, Forum of Mathematics, Sigma, vol. 10 (September, 2022), Cambridge University Press (CUP) [doi]  [abs]
  6. Li, L; Lu, J; Mattingly, JC; Wang, L, Numerical Methods For Stochastic Differential Equations Based On Gaussian Mixture, Communications in Mathematical Sciences, vol. 19 no. 6 (January, 2021), pp. 1549-1577, International Press of Boston [doi]  [abs]
  7. Autry, EA; Carter, D; Herschlag, GJ; Hunter, Z; Mattingly, JC, METROPOLIZED MULTISCALE FOREST RECOMBINATION for REDISTRICTING, Multiscale Modeling and Simulation, vol. 19 no. 4 (January, 2021), pp. 1885-1914, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  8. Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Singularities of invariant densities for random switching between two linear ODEs in 2D, SIAM Journal on Applied Dynamical Systems, vol. 20 no. 4 (January, 2021), pp. 1917-1958 [doi]  [abs]
  9. Gao, Y; Kirkpatrick, K; Marzuola, J; Mattingly, J; Newhall, KA, LIMITING BEHAVIORS OF HIGH DIMENSIONAL STOCHASTIC SPIN ENSEMBLES*, Communications in Mathematical Sciences, vol. 19 no. 2 (January, 2021), pp. 453-494 [doi]  [abs]
  10. Gao, Y; Marzuola, JL; Mattingly, JC; Newhall, KA, Nonlocal stochastic-partial-differential-equation limits of spatially correlated noise-driven spin systems derived to sample a canonical distribution, Physical Review E, vol. 102 no. 5 (November, 2020), pp. 052112 [doi]  [abs]
  11. Leimbach, M; Mattingly, JC; Scheutzow, M, Noise-induced strong stabilization (September, 2020)  [abs]
  12. Herschlag, G; Mattingly, JC; Sachs, M; Wyse, E, Non-reversible Markov chain Monte Carlo for sampling of districting maps (August, 2020)  [abs]
  13. Autry, EA; Carter, D; Herschlag, G; Hunter, Z; Mattingly, JC, Multi-Scale Merge-Split Markov Chain Monte Carlo for Redistricting (August, 2020)  [abs]
  14. Lu, Y; Mattingly, JC, Geometric ergodicity of Langevin dynamics with Coulomb interactions, Nonlinearity, vol. 33 no. 2 (January, 2020), pp. 675-699, IOP Publishing [doi]  [abs]
  15. Carter, D; Hunter, Z; Teague, D; Herschlag, G; Mattingly, J, Optimal Legislative County Clustering in North Carolina, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 19-29 [doi]  [abs]
  16. Herschlag, G; Kang, HS; Luo, J; Graves, CV; Bangia, S; Ravier, R; Mattingly, JC, Quantifying Gerrymandering in North Carolina, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 30-38, Informa UK Limited [doi]  [abs]
  17. Chikina, M; Frieze, A; Mattingly, JC; Pegden, W, Separating Effect From Significance in Markov Chain Tests, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 101-114 [doi]  [abs]
  18. AGAZZI, A; MATTINGLY, JC, SEEMINGLY STABLE CHEMICAL KINETICS CAN BE STABLE, MARGINALLY STABLE, OR UNSTABLE, Communications in Mathematical Sciences, vol. 18 no. 6 (January, 2020), pp. 1605-1642, International Press of Boston [doi]  [abs]
  19. Herzog, DP; Mattingly, JC, Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 72 no. 10 (October, 2019), pp. 2231-2255, WILEY [doi]
  20. Chin, A; Herschlag, G; Mattingly, J, The Signature of Gerrymandering in Rucho v. Common Cause, South Carolina Law Review, vol. 70 (2019)
  21. Wang, C; Mattingly, J; Lu, YM, Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA (December, 2017)  [abs]
  22. Johndrow, JE; Mattingly, JC, Error bounds for Approximations of Markov chains used in Bayesian Sampling (November, 2017)  [abs]
  23. Herschlag, G; Ravier, R; Mattingly, JC, Evaluating Partisan Gerrymandering in Wisconsin (September, 2017)  [abs]
  24. Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Smooth invariant densities for random switching on the torus, vol. 31 no. 4 (August, 2017), pp. 1331-1350, IOP Publishing [doi]  [abs]
  25. Johndrow, JE; Mattingly, JC, Coupling and Decoupling to bound an approximating Markov Chain (July, 2017)  [abs]
  26. Glatt-Holtz, NE; Herzog, DP; Mattingly, JC, Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations, Annals of PDE (June, 2017)  [abs]
  27. Bangia, S; Graves, CV; Herschlag, G; Kang, HS; Luo, J; Mattingly, JC; Ravier, R, Redistricting: Drawing the Line (April, 2017)  [abs]
  28. with Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC, Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential, Communications in Mathematical Sciences, vol. 15 no. 7 (January, 2017), pp. 1987-2025, International Press of Boston [math/1104.3842], [1104.3842v2], [doi]  [abs]
  29. Hairer, M; Mattingly, J, The strong Feller property for singular stochastic PDEs, vol. 54 no. 3 (2016), pp. 1314-1340, Institute of Mathematical Statistics [doi]  [abs]
  30. Tempkin, JOB; Koten, BV; Mattingly, JC; Dinner, AR; Weare, J, Trajectory stratification of stochastic dynamics, SIAM Review, vol. 60 no. 4 (2016), pp. 909-938, Society for Industrial and Applied Mathematics [doi]  [abs]
  31. Johndrow, JE; Mattingly, JC; Mukherjee, S; Dunson, D, Optimal approximating Markov chains for Bayesian inference (August, 2015) [1508.03387v2]  [abs]
  32. Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fréchet means for time varying persistence diagrams, Electronic Journal of Statistics, vol. 9 no. 1 (January, 2015), pp. 1173-1204, Institute of Mathematical Statistics [1307.6530v3], [doi]  [abs]
  33. Huckemann, S; Mattingly, JC; Miller, E; Nolen, J, Sticky central limit theorems at isolated hyperbolic planar singularities, Electronic Journal of Probability, vol. 20 (2015), pp. 1-34, Institute of Mathematical Statistics [repository], [doi]  [abs]
  34. Glatt-Holtz, N; Richards, G; Mattingly, JC, On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations, vol. 166 no. 3-4 (2015), pp. 618-649, Springer Nature [1512.04126v1], [doi]  [abs]
  35. Luo, S; Mattingly, JC, Scaling limits of a model for selection at two scales (2015) [1507.00397v1]  [abs]
  36. with Stephan Huckemann, Ezra Miller, James Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities (October, 2014) [arXiv:1410.6879]  [abs]
  37. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014) [arXiv:1404.0955]
  38. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014) [arXiv:1404.0957]
  39. Herzog, DP; Mattingly, JC, Noise-Induced Stabilization of Planar Flows II (April, 2014)
  40. with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs (2014) [arXiv:1407.2264]  [abs]
  41. with Lawley, SD; Mattingly, JC; Reed, MC, Sensitivity to switching rates in stochastically switched ODEs, Communications in Mathematical Sciences, vol. 12 no. 7 (2014), pp. 1343-1352, International Press of Boston, ISSN 1539-6746 [arXiv:1310.2525], [repository], [doi]  [abs]
  42. Mattingly, JC; Pardoux, E, Invariant measure selection by noise. An example, Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10 (2014), pp. 4223-4257, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947 [arXiv:1403.3593], [repository], [doi]  [abs]
  43. with Bakhtin, Y; Hurth, T; Mattingly, JC, Regularity of invariant densities for 1D-systems with random switching, arXiv preprint arXiv:1406.5425, vol. 28 no. 11 (2014), pp. 3755-3787, IOP Publishing, ISSN 0951-7715 [arXiv:1406.5425], [repository], [doi]  [abs]
  44. Lawley, SD; Mattingly, JC; Reed, MC, Stochastic switching in infinite dimensions with applications to random parabolic PDEs, arXiv preprint arXiv:1407.2264, vol. 47 no. 4 (2014), pp. 3035-3063, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410 [repository], [doi]  [abs]
  45. Herzog, DP; Mattingly, JC, A practical criterion for positivity of transition densities, arXiv preprint arXiv:1407.3858, vol. 28 no. 8 (2014), pp. 2823-2845, IOP Publishing, ISSN 0951-7715 [repository], [doi]  [abs]
  46. Herzog, DP; Mattingly, JC, Noise-Induced Stabilization of Planar Flows I, arXiv preprint arXiv:1404.0957, vol. 20 (2014), Institute of Mathematical Statistics [repository], [doi]  [abs]
  47. with Mattingly, JC; Vaughn, C, Redistricting and the Will of the People, arXiv preprint arXiv:1410.8796 (2014) [1410.8796v1]  [abs]
  48. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) [arXiv:1307.6530]  [abs]
  49. Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; Owen, M; Patrangenaru, V; Skwerer, S, Sticky central limit theorems on open books, The Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258, Institute of Mathematical Statistics, ISSN 1050-5164 [arXiv:1202.4267], [12-AAP899], [doi]  [abs]
  50. with Mattingly, JC; McKinley, SA; Pillai, NS, Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing, Stochastic Processes and their Applications, vol. 122 no. 12 (December, 2012), pp. 3953-3979, Elsevier BV, ISSN 0304-4149 [MR2971721], [0902.4496], [repository], [doi]  [abs]
  51. Luo, S; Reed, M; Mattingly, JC; Koelle, K, The impact of host immune status on the within-host and population dynamics of antigenic immune escape., J R Soc Interface, vol. 9 no. 75 (October, 2012), pp. 2603-2613, The Royal Society [22572027], [doi]  [abs]
  52. with Athreyaz, A; Kolba, T; Mattingly, JC, Propagating lyapunov functions to prove noise-induced stabilization, Electronic Journal of Probability, vol. 17 (2012), pp. 1-38, Institute of Mathematical Statistics, ISSN 1083-6489 [math/111.1755], [repository], [doi]  [abs]
  53. Porporato, A; Kramer, PR; Cassiani, M; Daly, E; Mattingly, J, Local kinetic interpretation of entropy production through reversed diffusion., Phys Rev E Stat Nonlin Soft Matter Phys, vol. 84 no. 4 Pt 1 (Fall, 2011), pp. 041142 [22181122], [doi]  [abs]
  54. Koelle, K; Ratmann, O; Rasmussen, DA; Pasour, V; Mattingly, J, A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses, Proceedings of the Royal Society B: Biological Sciences, vol. 278 no. 1725 (2011), pp. 3723-3730, ISSN 0962-8452 [repository], [doi]  [abs]
  55. with Hairer, M; Mattingly, JC; Scheutzow, M, Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations, Probability Theory and Related Fields, vol. 149 no. 1 (2011), pp. 223-259, Springer Nature, ISSN 0178-8051 [MR2531551], [0902.4495], [repository], [doi]  [abs]
  56. with Anderson, DF; Mattingly, JC, A weak trapezoidal method for a class of stochastic differential equations, Communications in Mathematical Sciences, vol. 9 no. 1 (2011), pp. 301-318, International Press of Boston, ISSN 1539-6746 [0906.3475], [repository], [doi]  [abs]
  57. with Hairer, M; Mattingly, JC, A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs, Electronic Journal of Probability, vol. 16 no. 23 (2011), pp. 658-738, Institute of Mathematical Statistics, ISSN 1083-6489 [arXiv:0808.1361], [repository], [doi]  [abs]
  58. Hairer, M; Mattingly, JC, Yet another look at Harris’ ergodic theorem for Markov chains, in Progress in Probability, vol. 63 (2011), pp. 109-117, Birkhäuser/Springer Basel AG, Basel [0810.2777v1], [doi]  [abs]
  59. with Heymann, M; Teitsworth, SW; Mattingly, JC, Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices (August, 2010) [1008.4037], [1008.4037v2]  [abs]
  60. with Mattingly, JC; Pillai, NS; Stuart, AM, Diffusion limits of the random walk Metropolis algorithm in high dimensions, Annals of Applied Probability, vol. 22 no. 3 (March, 2010), pp. 881-930, Institute of Mathematical Statistics [1003.4306], [1003.4306v4], [doi]  [abs]
  61. with Mattingly, JC; Stuart, AM; Tretyakov, MV, Convergence of numerical time-averaging and stationary measures via Poisson equations, SIAM Journal on Numerical Analysis, vol. 48 no. 2 (2010), pp. 552-577, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [MR2669996], [0908.4450], [repository], [doi]  [abs]
  62. Hairer, M; Mattingly, JC, Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2009), pp. 999-1032, WILEY, ISSN 0010-3640 [MR2531551], [arXiv:0712.3884], [doi]  [abs]
  63. with Hairer, M; Mattingly, JC, Spectral gaps in wasserstein distances and the 2d stochastic navier-stokes equations, Annals of Probability, vol. 36 no. 6 (November, 2008), pp. 2050-2091, Institute of Mathematical Statistics [MR2478676], [math.PR/0602479], [doi]  [abs]
  64. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777]  [abs]
  65. Mattingly, JC; Suidan, TM, Transition measures for the stochastic Burgers equation, in Integrable systems and random matrices, Contemp. Math., vol. 458 (2008), pp. 409-418, Amer. Math. Soc., Providence, RI, Providence, RI, ISSN 0271-4132, ISBN 9780821842409 [MR2411921], [Gateway.cgi], [doi]
  66. with Iyer, G; Mattingly, J, A stochastic-Lagrangian particle system for the Navier-Stokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537-2553, IOP Publishing, ISSN 0951-7715 [MR2448230 (2009h:76060)], [arXiv:0803.1222], [doi]  [abs]
  67. Anderson, DF; Mattingly, JC, Propagation of fluctuations in biochemical systems, II: Nonlinear chains., IET systems biology, vol. 1 no. 6 (November, 2007), pp. 313-325, Institution of Engineering and Technology (IET), ISSN 1751-8849 [repository], [doi]  [abs]
  68. Mattingly, JC; Suidan, T; Vanden-Eijnden, E, Simple systems with anomalous dissipation and energy cascade, Communications in Mathematical Physics, vol. 276 no. 1 (November, 2007), pp. 189-220, Springer Nature, ISSN 0010-3616 [MR2342292 (2008m:37135)], [math-ph/0607047], [doi]  [abs]
  69. Bakhtin, Y; Mattingly, JC, Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (August, 2007), pp. 307-353, Elsevier BV, ISSN 0022-1236 [MR2345335], [math.PR/0610754], [doi]  [abs]
  70. Anderson, DF; Mattingly, JC; Nijhout, HF; Reed, MC, Propagation of fluctuations in biochemical systems, I: linear SSC networks., Bulletin of mathematical biology, vol. 69 no. 6 (August, 2007), pp. 1791-1813, Springer Nature, ISSN 0092-8240 [MR2329180], [17457656], [doi]  [abs]
  71. Lamba, H; Mattingly, JC; Stuart, AM, An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (January, 2007), pp. 479-506, Oxford University Press (OUP), ISSN 0272-4979 [MR2337577], [math.PR/0409057]], [doi]  [abs] [author's comments]
  72. Mattingly, JC; Suidan, TM; Vanden-Eijnden, E, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145-1152, Springer Nature, ISSN 0022-4715 [MR2348788], [math-ph/0607047], [doi]  [abs]
  73. Nijhout, HF; Reed, MC; Anderson, DF; Mattingly, JC; James, SJ; Ulrich, CM, Erratum to H. Frederik Nijhout, et al. Epigenetics Volume 1, Issue 2; pp. 81-87., Epigenetics, vol. 1 no. 3 (July, 2006), pp. 115-115, Informa UK Limited, ISSN 1559-2294 [Gateway.cgi], [doi]
  74. Mattingly, JC; Pardoux, É, Malliavin calculus for the stochastic 2D Navier-Stokes equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (2006), pp. 1742-1790, WILEY, ISSN 0010-3640 [math.PR/0407215], [doi]  [abs]
  75. Hairer, M; Mattingly, JC, Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing, Annals of Mathematics, vol. 164 no. 3 (2006), pp. 993-1032, Annals of Mathematics, Princeton U, ISSN 0003-486X [math.PR/0406087], [doi]  [abs]
  76. Bakhtin, Y; Mattingly, JC, Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (October, 2005), pp. 553-582, World Scientific Pub Co Pte Lt, ISSN 0219-1997 (ISSN: 0219-1997.) [MR2175090], [math.PR/0509166], [doi]  [abs]
  77. Mattingly, JC; Suidan, TM, The small scales of the stochastic Navier-Stokes equations under rough forcing, Journal of Statistical Physics, vol. 118 no. 1-2 (January, 2005), pp. 343-364, Springer Nature, ISSN 0022-4715 (ISSN: 0022-4715.) [MR2122959], [math-ph/0408060], [Gateway.cgi], [doi]  [abs]
  78. 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]
  79. Hairer, M; Mattingly, JC, Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 339 no. 12 (2004), pp. 879-882, Elsevier BV, ISSN 1631-073X (ISSN: 1631-073X.) [MR2111726], [doi]  [abs]
  80. Hairer, M; Mattingly, JC; Pardoux, É, Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 339 no. 11 (2004), pp. 793-796, Elsevier BV, ISSN 1631-073X [MR2110383], [doi]  [abs]
  81. Hairer, M; Mattingly, JC; Pardoux, E, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier–Stokes equation, arXiv preprint math/0409057 (2004) [0409057v1]  [abs]
  82. Mattingly, JC, On recent progress for the stochastic Navier Stokes equations, vol. XV (Summer, 2003), pp. Exp. No. XI-52, Univ. 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]
  83. 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]
  84. Mattingly, JC; Stuart, AM, Geometric ergodicity of some hypo-elliptic diffusions for particle motions, Markov Processes and Related Fields, vol. 8 no. 2 (2002), pp. 199-214, ISSN 1024-2953 (Inhomogeneous random systems (Cergy-Pontoise, 2001).) [MR2003g:60101], [pdf]  [abs]
  85. Mattingly, JC, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Communications in Mathematical Physics, vol. 230 no. 3 (2002), pp. 421-462, ISSN 0010-3616 [MR2004a:76039], [pdf], [doi]  [abs]
  86. Mattingly, JC, Contractivity and ergodicity of the random map $x\mapsto\vert x-θ\vert $, Rossi\u\i skaya Akademiya Nauk. Teoriya Veroyatnoste\u\i i ee Primeneniya, vol. 47 no. 2 (2002), pp. 388-397, Society for Industrial & Applied Mathematics (SIAM), ISSN 0040-585X [repository], [doi]  [abs]
  87. Mattingly, JC; Stuart, AM; Higham, DJ, Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Processes and their Applications, vol. 101 no. 2 (2002), pp. 185-232, Elsevier BV, ISSN 0304-4149 [MR2003i:60103], [pdf], [doi]  [abs]
  88. Mattingly, JC, The dissipative scale of the stochastics Navier-Stokes equation: regularization and analyticity, Journal of Statistical Physics, vol. 108 no. 5-6 (2002), pp. 1157-1179, ISSN 0022-4715 (Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.) [MR2004e:76035], [pdf], [doi]  [abs]
  89. Mattingly, JC, Contractivity and ergodicity of the random map $x\mapsto|x-\theta|$, Teoriya Veroyatnostei i ee Primeneniya, vol. 47 no. 2 (2002), pp. 388-397, Steklov Mathematical Institute [doi]
  90. E, W; Mattingly, JC, Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation, Communications on Pure and Applied Mathematics, vol. 54 no. 11 (2001), pp. 1386-1402, WILEY, ISSN 0010-3640 [MR2002g:76075], [pdf], [doi]  [abs]
  91. E, W; Mattingly, JC; Sinai, Y, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Communications in Mathematical Physics, vol. 224 no. 1 (2001), pp. 83-106, ISSN 0010-3616 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf], [doi]  [abs]
  92. Holmes, PJ; Mattingly, JC; Wittenberg, RW, Low-Dimensional Models of Turbulence (2001), pp. 177-215, Springer Netherlands, ISBN 9780792369769 [doi]
  93. Mattingly, JC, Ergodicity of $2$D Navier-Stokes equations with random forcing and large viscosity, Communications in Mathematical Physics, vol. 206 no. 2 (1999), pp. 273-288, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  94. Mattingly, JC; Sinai, YG, An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations, Communications in Contemporary Mathematics, vol. 1 no. 4 (1999), pp. 497-516, World Scientific Pub Co Pte Lt [MR2000j:35226], [repository], [doi]  [abs]
  95. Holmes, PJ; Lumley, JL; Berkooz, G; Mattingly, JC; Wittenberg, RW, Low-dimensional models of coherent structures in turbulence, Physics Report, vol. 287 no. 4 (January, 1997), pp. 337-384, Elsevier BV, ISSN 0370-1573 [MR98j:76065], [pdf], [doi]  [abs]
  96. 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]
  97. Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998 [ps]

Petters, Arlie O.

  1. Aazami, AB; Keeton, CR; Petters, AO, Magnification cross sections for the elliptic umbilic caustic surface, Universe, vol. 5 no. 7 (July, 2019) [doi]  [abs]
  2. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (Spring, 2017), Springer, in preparation
  3. A. O. Petters and X. Dong, An Introduction to Mathematical Finance: Understanding and Building Financial Intuition, SUMAT (Winter, 2016), Springer, in preparation
  4. Petters, AO; Dong, X, An Introduction to Mathematical Finance with Applications Understanding and Building Financial Intuition (June, 2016), pp. 483 pages, SPRINGER, ISBN 1493937812  [abs]
  5. Aazami, AB; Keeton, CR; Petters, AO, Lensing by Kerr black holes. II: Analytical study of quasi-equatorial lensing observables, Journal of Mathematical Physics, vol. 52 no. 10 (October, 2011), pp. 102501-102501, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  6. Aazami, AB; Keeton, CR; Petters, AO, Lensing by Kerr black holes. I. General lens equation and magnification formula, Journal of Mathematical Physics, vol. 52 no. 9 (September, 2011), pp. 092502-092502, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  7. Aazami, AB; Petters, AO; Rabin, JM, Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing, Journal of Mathematical Physics, vol. 52 no. 2 (February, 2011), pp. 022501-022501, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  8. Petters, AO, Gravity's action on light, Notices of the American Mathematical Society, vol. 57 no. 11 (December, 2010), pp. 1392-1409, ISSN 0002-9920
  9. Petters, AO; Werner, MC, Mathematics of gravitational lensing: Multiple imaging and magnification, General Relativity and Gravitation, vol. 42 no. 9 (Fall, 2010), pp. 2011-2046, Springer Nature, ISSN 0001-7701 [doi]  [abs]
  10. Aazami, AB; Petters, AO, A universal magnification theorem. III. Caustics beyond codimension 5, Journal of Mathematical Physics, vol. 51 no. 2 (Summer, 2010), pp. 082501, ISSN 0022-2488 [doi]  [abs]
  11. Petters, AO; Rider, B; Teguia, AM, A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac-Rice formula, Journal of Mathematical Physics, vol. 50 no. 12 (December, 2009), pp. 122501-122501, AIP Publishing, ISSN 0022-2488 [repository], [doi]  [abs]
  12. Aazami, AB; Petters, AO, A universal magnification theorem. II. Generic caustics up to codimension five, Journal of Mathematical Physics, vol. 50 no. 8 (September, 2009), pp. 023503, ISSN 0022-2488 [repository], [doi]  [abs]
  13. Petters, AO; Rider, B; Teguia, AM, A mathematical theory of stochastic microlensing. I. Random time delay functions and lensing maps, Journal of Mathematical Physics, vol. 50 no. 7 (August, 2009), pp. 072503-072503, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  14. Aazami, AB; Petters, AO, A universal magnification theorem for higher-order caustic singularities, Journal of Mathematical Physics, vol. 50 no. 3 (Spring, 2009), pp. 032501-032501, AIP Publishing, ISSN 0022-2488 [3447], [doi]  [abs]
  15. Keeton, CR; Petters, AO, Testing theories of gravity with black hole lensing, 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories Proc. of the Mg11 Meeting on General Relativity (January, 2008), pp. 1719-1721 [doi]  [abs]
  16. Iyer, SV; Petters, AO, Light's bending angle due to black holes: From the photon sphere to infinity, General Relativity and Gravitation, vol. 39 no. 10 (October, 2007), pp. 1563-1582, Springer Nature, ISSN 0001-7701 [0611086], [doi]  [abs]
  17. Werner, MC; Petters, AO, Magnification relations for Kerr lensing and testing cosmic censorship, Physical Review D, vol. 76 no. 6 (September, 2007), pp. 064024, American Physical Society (APS), ISSN 1550-7998 [0132], [doi]  [abs]
  18. A.O. Petters, Algebra, Geometry, and Trigonometry: Student and Teacher Editions (August, 2007), BRC, Benque-Belize
  19. A.O. Petters, Scientific Reasoning: Student and Teacher Editions (July, 2007), BRC, Benque-Belize
  20. A.O. Petters, PSE Mathematics: Student and Teacher Editions (February, 2007), BRC, Benque-Belize
  21. Petters, A, PSE Mathematics (2007), BRC Publishing
  22. Petters, A, Algebra, Geometry, and Trignonometry (2007), BRC Publishing
  23. Petters, A, Scientific Reasoning (2007), BRC Publishing
  24. 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)
  25. Keeton, CR; Petters, AO, Formalism for testing theories of gravity using lensing by compact objects. III. Braneworld gravity, Physical Review D, vol. 73 no. 10 (May, 2006), pp. 104032, American Physical Society (APS), ISSN 1550-7998 [0603061], [doi]  [abs]
  26. Keeton, CR; Petters, AO, Formalism for testing theories of gravity using lensing by compact objects. II. Probing post-post-Newtonian metrics, Physical Review D, vol. 73 no. 4 (March, 2006), pp. 044024, American Physical Society (APS), ISSN 1550-7998 [0601053], [doi]  [abs]
  27. Keeton, CR; Gaudi, BS; Petters, AO, Identifying lenses with small-scale structure. II. Fold lenses, The Astrophysical Journal, vol. 635 no. 1 I (December, 2005), pp. 35-59, IOP Publishing, ISSN 0004-637X [doi]  [abs]
  28. Keeton, CR; Petters, AO, Formalism for testing theories of gravity using lensing by compact objects: Static, spherically symmetric case, Physical Review D, vol. 72 no. 10 (November, 2005), pp. 104006, American Physical Society (APS), ISSN 1550-7998 [0511019], [doi]  [abs]
  29. Keeton, C; Gaudi, S; Petters, AO, Identifying Lensing by Small-Scale Structure. II. Fold Lenses, Astrophysical Journal, vol. 635 no. 1 I (November, 2005), pp. 35-35, ISSN 0004-637X [0503452], [doi]  [abs]
  30. Keeton, CR; Gaudi, BS; Petters, AO, Identifying lenses with small-scale structure. I. Cusp lenses, The Astrophysical Journal, vol. 598 no. 1 I (November, 2003), pp. 138-161, IOP Publishing, ISSN 0004-637X [doi]  [abs]
  31. Petters, AO, On relativistic corrections to microlensing effects: Applications to the Galactic black hole, Monthly Notices of the Royal Astronomical Society, vol. 338 no. 2 (January, 2003), pp. 457-464, Oxford University Press (OUP) [0208500], [doi]  [abs]
  32. Keeton, C; Gaudi, S; Petters, AO, Identifying Lensing by Substructure I. Cusp Lenses, Astrophys. J., vol. 598 no. 1 I (2003), pp. 138, ISSN 0004-637X [0210318], [doi]  [abs]
  33. GAUDI, BS; PETTERS, AO, CENTER OF LIGHT CURVES FOR WHITNEY FOLD AND CUSP (December, 2002), pp. 2103-2104, World Scientific Publishing Company [doi]
  34. Gaudi, BS; Petters, AO, Gravitational microlensing near caustics. II. Cusps, The Astrophysical Journal, vol. 580 no. 1 I (November, 2002), pp. 468-489, IOP Publishing, ISSN 0004-637X [0206162v2], [doi]  [abs]
  35. Frittelli, S; Petters, AO, Wavefronts, caustic sheets, and caustic surfing in gravitational lensing, Journal of Mathematical Physics, vol. 43 no. 11 (November, 2002), pp. 5578-5611, AIP Publishing, ISSN 0022-2488 [0208135], [doi]  [abs]
  36. Gaudi, BS; Petters, AO, Gravitational microlensing near caustics. I. Folds, The Astrophysical Journal, vol. 574 no. 2 I (August, 2002), pp. 970-984, IOP Publishing, ISSN 0004-637X [0112531], [doi]  [abs]
  37. Petters, AO; Levine, H; Wambsganss, J, Singularity Theory and Gravitational Lensing, Progress in Mathematical Physics, Volume 21 (June, 2001), pp. 603 pages, Springer Science & Business Media, ISBN 0817636684 [002-1045375-379126]  [abs]
  38. 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
  39. 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
  40. Petters, AO; Wicklin, FJ, Fixed points due to gravitational lenses, Journal of Mathematical Physics, vol. 39 no. 2 (January, 1998), pp. 1011-1023, AIP Publishing [doi]  [abs]
  41. 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)
  42. 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)
  43. 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)
  44. Petters, AO, Curvature of caustics and singularities of gravitational lenses, Nonlinear Analysis: Theory, Methods & Applications, vol. 30 no. 1 (January, 1997), pp. 627-634, Elsevier BV, ISSN 0362-546X [doi]
  45. Petters, AO, Multiplane gravitational lensing. III. Upper bound on number of images, Journal of Mathematical Physics, vol. 38 no. 3 (January, 1997), pp. 1605-1613, AIP Publishing [doi]  [abs]
  46. Petters, AO; Witt, HJ, Bounds on number of cusps due to point mass gravitational lenses, Journal of Mathematical Physics, vol. 37 no. 6 (June, 1996), pp. 2920-2933, AIP Publishing [doi]  [abs]
  47. Fetters, AO, Lower bounds on image magnification in gravitational lensing, Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 452 no. 1949 (January, 1996), pp. 1475-1490, The Royal Society, ISSN 1364-5021 [doi]  [abs]
  48. 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)
  49. Petters, AO; Witt, H, Bounds on Number of Cusps Due to Point Mass Gravitional Lenses with Continuous Matter and Shear, J. Math. Phys., vol. 37 no. 2920 (1996), pp. 2920-2933 [doi]  [abs]
  50. Petters, AO; Wicklin, FJ, New Caustic Phenomena In Double-Plane Lensing, Symposium International Astronomical Union, vol. 173 (1996), pp. 283-284, Cambridge University Press (CUP) [doi]  [abs]
  51. Petters, AO, A Cusp—Counting Formula For Caustics Due To Multiplane Gravitational Lensing, Symposium International Astronomical Union, vol. 173 no. 173 (1996), pp. 281-282, Cambridge University Press (CUP), ISSN 0074-1809 [Gateway.cgi], [doi]  [abs]
  52. Petters, AO; Wicklin, FJ, Caustics of the double-plane two-point-mass gravitational lens with continuous matter and shear, Monthly Notices of the Royal Astronomical Society, vol. 277 no. 4 (Summer, 1995), pp. 1399-1403, Oxford University Press (OUP), ISSN 0035-8711 [Gateway.cgi], [doi]
  53. Petters, AO, Multiplane gravitational lensing. II. Global geometry of caustics, Journal of Mathematical Physics, vol. 36 no. 8 (January, 1995), pp. 4276-4295, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  54. Petters, AO, Multiplane gravitational lensing. I. Morse theory and image counting, Journal of Mathematical Physics, vol. 36 no. 8 (January, 1995), pp. 4263-4275, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  55. 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)
  56. Witt, HJ; Petters, AO, Singularities of the one- and two-point mass gravitational lens, Journal of Mathematical Physics, vol. 34 no. 9 (January, 1993), pp. 4093-4111, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  57. Petters, AO, Arnold's singularity theory and gravitational lensing, Journal of Mathematical Physics, vol. 34 no. 8 (January, 1993), pp. 3555-3581, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  58. Levine, HI; Petters, AO; Wambsganss, J, Applications of singularity theory to gravitational lensing. I. Multiple lens planes, Journal of Mathematical Physics, vol. 34 no. 10 (January, 1993), pp. 4781-4808, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  59. Levine, H; Petters, AO, New Caustic Singularities in Multiple Lens Plane Gravitational Lensing, Astron. Astrophys., vol. 272 no. L17 (1993), pp. L17-L19, EDP SCIENCES S A
  60. Levine, H; Petters, AO; Wambsganss, J, Applications of Singularity Theory to Gravitational Lensing, J. Math. Phys., vol. 34 no. 10 (1993), pp. 4781, ISSN 0022-2488  [abs]
  61. Petters, AO, Morse theory and gravitational microlensing, Journal of Mathematical Physics, vol. 33 no. 5 (January, 1992), pp. 1915-1931, AIP Publishing, ISSN 0022-2488 [doi]  [abs]
  62. 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)
  63. 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)
  64. Kayser, R; Schramm, T; Nieser, L, Gravitational lenses proceedings of a conference held in Hamburg, Germany, 9-13 September 1991 (1992), pp. 399 pages, Springer-Verlag
  65. A.O. Petters, Singularities in Gravitational Microlensing, Ph.D. Thesis, MIT, Department of Mathematics (1991)

Schaeffer, David G.

  1. S. Payne, B. Li, H. Song, D.G. Schaeffer, and L. You, Self-organized pattern formation by a pseudo-Turing mechanism (Winter, 2010)
  2. Gonzales, K; Kayikci, O; Schaeffer, DG; Magwene, P, Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway, BMC Systems Biology, vol. 7 (Winter, 2010), pp. 40, BioMed Central [doi]  [abs]
  3. Farjoun, Y; Schaeffer, DG, The hanging thin rod: a singularly perturbed eigenvalue problem, SIAM Sppl. Math. (July, 2010)
  4. Dai, S; Schaeffer, DG, Chaos in a one-dimensional model for cardiac dynamics, Chaos, vol. 20 no. 2 (June, 2010)
  5. Dai, S; Schaeffer, DG, Bifurcations in a modulation equation for alternans in a cardiac fiber, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 44 no. 6 (Winter, 2010), pp. 1225-1238, E D P SCIENCES, ISSN 0764-583X [Gateway.cgi], [doi]  [abs]
  6. Schaeffer, DG; Beck, M; Jones, C; Wechselberger, M, Electrical waves in a one-dimensional model of cardiac tissue, SIAM Applied Dynamical Systems, vol. 7 no. 4 (December, 2008), pp. 1558-1581, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  7. Schaeffer, DG; Iverson, RM, Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback, SIAM Journal on Applied Mathematics, vol. 69 no. 3 (December, 2008), pp. 769-786, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [Gateway.cgi], [doi]  [abs]
  8. Dai, S; Schaeffer, DG, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber, SIAM Journal on Applied Mathematics, vol. 69 no. 3 (December, 2008), pp. 704-719, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [Gateway.cgi], [doi]  [abs]
  9. Schaeffer, DG; Ying, W; Zhao, X, Asymptotic approximation of an ionic model for cardiac restitution., Nonlinear dynamics, vol. 51 no. 1-2 (January, 2008), pp. 189-198, ISSN 0924-090X [19122809], [doi]  [abs]
  10. 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)
  11. Schaeffer, DG; Catlla, A; Witelski, T; Monson, E; Lin, A, On spiking models of synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 553--569 (2008)
  12. Schaeffer, DG; Cain, J, Shortening of action potential duraction near an insulating boundary, Math Medicine and Biology, vol. 25 no. 21--36 (2008)
  13. Zhao, X; Schaeffer, DG, Alternate Pacing of Border-Collision Period-Doubling Bifurcations., Nonlinear dynamics, vol. 50 no. 3 (November, 2007), pp. 733-742, ISSN 0924-090X [19132134], [doi]  [abs]
  14. Berger, CM; Zhao, X; Schaeffer, DG; Dobrovolny, HM; Krassowska, W; Gauthier, DJ, Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics., Physical review letters, vol. 99 no. 5 (August, 2007), pp. 058101, ISSN 0031-9007 [17930795], [doi]  [abs]
  15. Zhao, X; Schaeffer, DG; Berger, CM; Gauthier, DJ, Small-Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps., Nonlinear dynamics, vol. 48 no. 4 (June, 2007), pp. 381-389, ISSN 0924-090X [19112525], [doi]  [abs]
  16. Schaeffer, DG; Cain, JW; Gauthier, DJ; Kalb, SS; Oliver, RA; Tolkacheva, EG; Ying, W; Krassowska, W, An ionically based mapping model with memory for cardiac restitution., Bulletin of mathematical biology, vol. 69 no. 2 (February, 2007), pp. 459-482, ISSN 0092-8240 [17237915], [doi]  [abs]
  17. Schaeffer, DG; Shearer, M; Witelski, T, Boundary-value problems for hyperbolic partial differential equations related to steady granular flow, Math. and Mech. of Solids, vol. 12 (2007), pp. 665-699
  18. Schaeffer, DG; Matthews, M; Gremaud, P, 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. Schaeffer, DG; Tighe, B; Socolar, J; Michener, G; Huber, M, Force distribution in granular media, PRE, vol. 72 (2005), pp. 031306
  20. Schaeffer, DG; Kalb, S; Tolkacheva, E; Gauthier, D; Krassowska, W, Features of the restitution portrait for mapping models with an arbitrary amount of memory, Chaos, vol. 15 (2005), pp. 023701
  21. Gremaud, PA; Matthews, JV; Schaeffer, DG, Secondary circulation in granular flow through nonaxisymmetric hoppers, SIAM Journal on Applied Mathematics, vol. 64 no. 2 (June, 2004), pp. 583-600, ISSN 0036-1399 [Gateway.cgi], [doi]  [abs]
  22. Schaeffer, DG; Matthews, JV, A steady-state, hyperbolic free boundary problem for a granular-flow model, SIAM J. Math Analysis, vol. 36 (2004), pp. 256-271
  23. Schaeffer, DG; Cain, J; Tolkacheva, E; Gauthier, D, Rate-dependent waveback velocity of cardiac action potentials in a done-dimensional cable, Phys Rev E, vol. 70 (2004), pp. 061906-?
  24. Mitchell, CC; Schaeffer, DG, A two-current model for the dynamics of cardiac membrane., Bulletin of mathematical biology, vol. 65 no. 5 (September, 2003), pp. 767-793, ISSN 0092-8240 [12909250], [doi]  [abs]
  25. Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Krassowska, W, Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 67 no. 3 Pt 1 (March, 2003), pp. 031904, ISSN 1539-3755 [12689098], [doi]  [abs]
  26. 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
  27. Schaeffer, DG; Shearer, M; Witelski, T, One-dimensional solutions of an elastoplasticity model of granular material, Math. Models and Methods in Appl. Sciences, vol. 13 (2003), pp. 1629-1671
  28. Schaeffer, DG, Review of W. Cheney's "Analysis for applied mathematics", Amer. Math Monthly, vol. 110 (2003), pp. 550
  29. Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Mitchell, CC, Analysis of the Fenton-Karma model through an approximation by a one-dimensional map., Chaos (Woodbury, N.Y.), vol. 12 no. 4 (December, 2002), pp. 1034-1042 [12779627], [doi]  [abs]
  30. Socolar, JES; Schaeffer, DG; Claudin, P, Directed force chain networks and stress response in static granular materials., The European physical journal. E, Soft matter, vol. 7 no. 4 (April, 2002), pp. 353-370 [doi]  [abs]
  31. Schaeffer, DG; Tolkacheva, E; Mitchell, C, Analysis of the Fenton-Karma model through a one-dimensional map, Chaos, vol. 12 (2002), pp. 1034-1042
  32. Gremaud, P; Schaeffer, DG; Shearer, M, Granular Flow Past a Binsert, Report to Jenike & Johanson, Inc. (January, 1997)
  33. 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]
  34. 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)
  35. 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]
  36. 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
  37. 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]
  38. 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]
  39. 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]
  40. 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.
  41. 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.
  42. 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]
  43. 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.
  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]

Schott, Sarah

  1. Schott, S; Slate Young, E; Bookman, J; Hash, P, An Examination of Factors that Support Sustainable Cultural and Curricular Change in STEM Teaching and Learning, Journal of Mathematics and Science: Collaborative Explorations, vol. 18 (2022) [doi]  [abs]
  2. Schott, S; Slate Young, E; Bookman, J; Peterson, B, Evaluating a Large-Scale Multi-Institution Project: Challenges Faced and Lessons Learned, The Journal of Mathematics and Science: Collaborative Explorations (JMSCE), vol. 16 no. 1 (2020) [doi]  [abs]
  3. Bookman, ; Bar-On, R; Cooke, B; Schott, S, (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)
  4. Bar-On, R; Bookman, J; Cooke, B; Hall, D; Schott, S, BRINGING STUDENTS INTO THE PELOTON: LEVELING THE PLAYING FIELD AT HIGHLY SELECTIVE UNIVERSITIES, edited by Chova, LG; Torres, IC; Martinez, AL, EDULEARN12: 4TH INTERNATIONAL CONFERENCE ON EDUCATION AND NEW LEARNING TECHNOLOGIES (January, 2012), pp. 1260-1270, IATED-INT ASSOC TECHNOLOGY EDUCATION A& DEVELOPMENT
  5. Huber, M; Schott, S, Random Construction of Interpolating Sets for High Dimensional Integration, Journal of Applied Probability, vol. 51 no. 1 (2012), pp. 92-105, Cambridge University Press (CUP) [doi]  [abs]
  6. Schott, SJ, Girls in Math, Encompass Magazine (April, 2011), pp. 14-15 [encompass_sp11]
  7. Huber, M; Schott, S, Using TPA for Bayesian Inference, Bayesian Statistics 9, vol. 9780199694587 (2010), pp. 257-282, Oxford Press [repository], [doi]  [abs]

Venakides, Stephanos

  1. Komineas, S; Melcher, C; Venakides, S, Chiral skyrmions of large radius, Physica D: Nonlinear Phenomena, vol. 418 (April, 2021), Elsevier [doi]  [abs]
  2. Komineas, S; Melcher, C; Venakides, S, The profile of chiral skyrmions of small radius, Nonlinearity, vol. 33 no. 7 (July, 2020), pp. 3395-3408, London Mathematical Society [doi]  [abs]
  3. Komineas, S; Melcher, C; Venakides, S, Traveling domain walls in chiral ferromagnets, Nonlinearity, vol. 32 no. 7 (May, 2019), pp. 2392-2412, London Mathematical Society [doi]  [abs]
  4. Pérez-Arancibia, C; Shipman, SP; Turc, C; Venakides, S, Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies, Communications in Computational Physics, vol. 26 no. 1 (January, 2019), pp. 265-310, Global Science Press [doi]  [abs]
  5. Aristotelous, AC; Crawford, JM; Edwards, GS; Kiehart, DP; Venakides, S, Mathematical models of dorsal closure., Progress in biophysics and molecular biology, vol. 137 (September, 2018), pp. 111-131 [doi]  [abs]
  6. Perez-Arancibia, C; Shipman, S; Turc, C; Venakides, S, DDM solutions of quasiperiodic transmission problems in layered media via robust boundary integral equations at all frequencies, Communications in Computational Physics (May, 2018), Global Science Press
  7. Bruno, OP; Shipman, SP; Turc, C; Venakides, S, Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies, Proc. R. Soc. A 2017 473 20170242, vol. 473 no. 2207 (November, 2017), pp. 20170242, The Royal Society [doi]  [abs]
  8. Kiehart, DP; Crawford, JM; Aristotelous, A; Venakides, S; Edwards, GS, Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System., Annual review of cell and developmental biology, vol. 33 (October, 2017), pp. 169-202 [doi]  [abs]
  9. Bruno, OP; Shipman, SP; Turc, C; Venakides, S, Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 472 no. 2191 (July, 2016), pp. 20160255 [doi]  [abs]
  10. Komineas, S; Shipman, SP; Venakides, S, Lossless polariton solitons, Physica D: Nonlinear Phenomena, vol. 316 (February, 2016), pp. 43-56, Elsevier BV [doi]  [abs]
  11. Sergey Belov and Stephanos Venakides, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, Analysis & PDE, vol. 8 no. 2 (April, 2015), pp. 257-288 [doi]  [abs]
  12. Komineas, S; Shipman, SP; Venakides, S, Continuous and discontinuous dark solitons in polariton condensates, Physical Review B - Condensed Matter and Materials Physics, vol. 91 no. 13 (April, 2015), American Physical Society (APS), ISSN 1098-0121 [doi]  [abs]
  13. Belov, S; Venakides, S, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, Analysis and PDE, vol. 8 no. 2 (January, 2015), pp. 257-288, Mathematical Sciences Publishers [1211.7111v2], [doi]  [abs]
  14. Belov, S; Venakides, S, Long-time limit studies of an obstruction in the g-function mechanism for semiclassical focusing NLS (2015)  [abs]
  15. Stavros Komineas, Stephen P. Shipman, Stephanos Venakides, Lossless Polariton Solitons, arXiv (2014) [arXiv:1409.4067]  [abs]
  16. 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]
  17. Jackson, AD; Huang, D; Gauthier, DJ; Venakides, S, Destructive impact of imperfect beam collimation in extraordinary optical transmission., Journal of the Optical Society of America. A, Optics, image science, and vision, vol. 30 no. 6 (June, 2013), pp. 1281-1290, ISSN 1084-7529 (doi: 10.1364/JOSAA.30.001281..) [doi]  [abs]
  18. Shipman, SP; Venakides, S, An exactly solvable model for nonlinear resonant scattering, Nonlinearity, vol. 25 no. 9 (September, 2012), pp. 2473-2501, IOP Publishing, ISSN 0951-7715 (doi:10.1088/0951-7715/25/9/2473.) [doi]  [abs]
  19. Tovbis, A; Venakides, S, Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation, International Mathematics Research Notices, vol. 2012 no. 10 (May, 2012), pp. 2212-2271, Oxford University Press (OUP), ISSN 1073-7928 (doi:10.1093/imrn/rnr092.) [doi]  [abs]
  20. Belov, S; Venakides, S, Perturbation of Riemann-Hilbert jump contours: smooth parametric dependence with application to semiclassical focusing NLS (August, 2011)  [abs]
  21. Tovbis, A; Venakides, S, Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space, Communications in Mathematical Physics, vol. 295 no. 1 (February, 2010), pp. 139-160, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  22. Layton, AT; Toyama, Y; Yang, G-Q; Edwards, GS; Kiehart, DP; Venakides, S, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure., HFSP journal, vol. 3 no. 6 (December, 2009), pp. 441-460, HFSP [20514134], [doi]  [abs]
  23. Lefew, WR; Venakides, S; Gauthier, DJ, Accurate description of optical precursors and their relation to weak-field coherent optical transients, Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79 no. 6 (June, 2009), pp. 063842, American Physical Society (APS), ISSN 1050-2947 [doi]  [abs]
  24. Tovbis, A; Venakides, S, Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear schrödinger equation, International Mathematics Research Notices, vol. 2009 no. 11 (February, 2009), pp. 2056-2080, Oxford University Press (OUP), ISSN 1073-7928 [doi]  [abs]
  25. Tovbis, A; Venakides, S, Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation (2009)  [abs]
  26. Ptitsyna, N; Shipman, SP; Venakides, S, Fano resonance of waves in periodic slabs, Mathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings (September, 2008), pp. 73-78 [doi]  [abs]
  27. Tovbis, A; Venakides, S; Zhou, X, Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach, edited by Baik, J; Kriecherbauer, T; Li, LC; McLaughlin, KDT; Tomei, C, Integrable Systems and Random Matrices: In Honor of Percy Deift, vol. 458 (2008), pp. 117-144, AMER MATHEMATICAL SOC, ISBN 978-0-8218-4240-9
  28. Tovbis, A; Venakides, S; Zhou, X, 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. (December, 2007), Oxford University Press (OUP), ISSN 1073-7928 [doi]  [abs]
  29. Buckingham, R; Venakides, S, Long-time asymptotics of the nonlinear Schrödinger equation shock problem, Communications on Pure and Applied Mathematics, vol. 60 no. 9 (September, 2007), pp. 1349-1414, WILEY, ISSN 0010-3640 [MR2337507], [doi]  [abs]
  30. Peralta, XG; Toyama, Y; Hutson, MS; Montague, R; Venakides, S; Kiehart and, DP; Edwards, GS, Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis, Biophysical Journal, vol. 92 no. 7 (April, 2007), pp. 2583-2596, ISSN 0006-3495 [17218455], [doi]  [abs]
  31. Peralta, XG; Toyama, Y; Hutson, MS; Montague, R; Venakides, S; Kiehart, DP; Edwards, GS, Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development., Biophysical journal, vol. 92 no. 7 (April, 2007), pp. 2583-2596, ISSN 0006-3495 [17218455], [doi]  [abs]
  32. Buckingham, R; Tovbis, A; Venakides, S; Zhou, X, The semiclassical focusing nonlinear Schrodinger equation, in "Recent Advances in Nonlinear Partial Differentila Equations and Applications'', Proceedings of Symposia in Applied Mathematics, edited by Bonilla, LL; Carpio, A; Vega, JM; Venakides, S, Recent Advances in Nonlinear Partial Differential Equations and Applications, vol. 65 (2007), pp. 47-80, AMER MATHEMATICAL SOC, ISBN 978-0-8218-4211-9
  33. Tovbis, A; Venakides, S; Zhou, X, On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case, Communications on Pure and Applied Mathematics, vol. 59 no. 10 (January, 2006), pp. 1379-1432, WILEY, ISSN 0010-3640 [MR2248894], [doi]  [abs]
  34. Shipman, SP; Venakides, S, Resonant transmission near nonrobust periodic slab modes., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 71 no. 2 Pt 2 (February, 2005), pp. 026611, ISSN 1539-3755 [15783445], [doi]  [abs]
  35. Peralta, XG; Toyama, Y; Wells, A; Tokutake, Y; Hutson, MS; Venakides, S; Kiehart, DP; Edwards, GS, Force regulation during dorsal closure in Drosophila, Molecular Biology of the Cell, vol. 15 (November, 2004), pp. 403A-403A, American Society for Cell Biology
  36. Tovbis, A; Venakides, S; Zhou, X, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation, Communications on Pure and Applied Mathematics, vol. 57 no. 7 (July, 2004), pp. 877-985, WILEY, ISSN 0010-3640 [MR2044068 (2005c:35269)], [doi]  [abs]
  37. Shipman, SP; Venakides, S, Resonance and bound states in photonic crystal slabs, SIAM Journal on Applied Mathematics, vol. 64 no. 1 (October, 2003), pp. 322-342, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [doi]  [abs]
  38. Hutson, MS; Tokutake, Y; Chang, M-S; Bloor, JW; Venakides, S; Kiehart, DP; Edwards, GS, Forces for morphogenesis investigated with laser microsurgery and quantitative modeling., Science (New York, N.Y.), vol. 300 no. 5616 (April, 2003), pp. 145-149 [12574496], [doi]  [abs]
  39. Lipton, RP; Shipman, SP; Venakides, S, Optimization of Resonances in Photonic Crystal Slabs, Proceedings of SPIE - The International Society for Optical Engineering, vol. 5184 (January, 2003), pp. 168-177, SPIE [doi]  [abs]
  40. Hutson, S; Tokutake, Y; Chang, M; Bloor, JW; Venakides, S; Kiehart, DP; Edwards, GS, Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila, Molecular Biology of the Cell, vol. 13 (November, 2002), pp. 476A-476A, American Society for Cell Biology
  41. Haider, MA; Shipman, SP; Venakides, S, Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances, SIAM Journal on Applied Mathematics, vol. 62 no. 6 (July, 2002), pp. 2129-2148, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  42. El, GA; Krylov, AL; Venakides, S, Unified approach to KdV modulations, Communications on Pure and Applied Mathematics, vol. 54 no. 10 (October, 2001), pp. 1243-1270, WILEY [doi]  [abs]
  43. Deift, P; Kriecherbauer, T; McLaughlin, KR; Venakides, S; Zhou, X, A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials, Journal of Computational and Applied Mathematics, vol. 133 no. 1-2 (August, 2001), pp. 47-63, Elsevier BV, ISSN 0377-0427 [doi]  [abs]
  44. El, GA; Krylov, AL; Molchanov, SA; Venakides, S, Soliton turbulence as a thermodynamic limit of stochastic soliton lattices, Physica D: Nonlinear Phenomena, vol. 152-153 (May, 2001), pp. 653-664, Elsevier BV [doi]  [abs]
  45. Georgieva, A; Kriecherbauer, T; Venakides, S, 1:2 resonance mediated second harmonic generation in a 1-D nonlinear discrete periodic medium, SIAM Journal on Applied Mathematics, vol. 61 no. 5 (January, 2001), pp. 1802-1815, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  46. Tovbis, A; Venakides, S, The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases, Physica D: Nonlinear Phenomena, vol. 146 no. 1-4 (November, 2000), pp. 150-164, Elsevier BV [doi]  [abs]
  47. Venakides, S; Haider, MA; Papanicolaou, V, Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures, SIAM Journal on Applied Mathematics, vol. 60 no. 5 (January, 2000), pp. 1686-1706, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  48. Reed, D; Venakides, S, Studying the asymptotics of Selberg-type integrals, edited by Spigler, R, Applied and Industrial Mathematics, Venice-2, 1998 (2000), pp. 187-198, SPRINGER, ISBN 0-7923-6152-0
  49. Beaky, MM; Burk, JB; Everitt, HO; Haider, MA; Venakides, S, Two-dimensional photonic crystal fabry-perot resonators with lossy dielectrics, IEEE Transactions on Microwave Theory and Techniques, vol. 47 no. 11 (December, 1999), pp. 2085-2091, Institute of Electrical and Electronics Engineers (IEEE), ISSN 0018-9480 [doi]  [abs]
  50. Filip, AM; Venakides, S, Existence and modulation of traveling waves in particle chains, Communications on Pure and Applied Mathematics, vol. 52 no. 6 (January, 1999), pp. 693-735 [doi]  [abs]
  51. Cheng, PJ; Venakides, S; Zhou, X, Long-time asymptotics for the pure radiation solution of the sine-Gordon equation, Communications in Partial Differential Equations, vol. 24 no. 7-8 (January, 1999), pp. 1195-1262, Informa UK Limited [doi]
  52. Georgieva, A; Kriecherbauer, T; Venakides, S, Wave propagation and resonance in a one-dimensional nonlinear discrete periodic medium, SIAM Journal on Applied Mathematics, vol. 60 no. 1 (January, 1999), pp. 272-294, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  53. Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, Communications on Pure and Applied Mathematics, vol. 52 no. 11 (January, 1999), pp. 1335-1425, WILEY [doi]  [abs]
  54. Deift, P; Kriecherbauer, T; Mclaughlin, KTR; Venakides, S; Zhou, X, Strong asymptotics of orthogonal polynomials with respect to exponential weights, Communications on Pure and Applied Mathematics, vol. 52 no. 12 (January, 1999), pp. 1491-1552 [doi]  [abs]
  55. Deift, P; Venakides, S; Zhou, X, An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation., Proceedings of the National Academy of Sciences of the United States of America, vol. 95 no. 2 (January, 1998), pp. 450-454, ISSN 0027-8424 [11038618], [doi]  [abs]
  56. McDonald, MA; Venakides, S, Renormalization of the τ-functions for integrable systems: A model problem, Communications on Pure and Applied Mathematics, vol. 51 no. 8 (January, 1998), pp. 937-966, WILEY [doi]  [abs]
  57. Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights, International Mathematics Research Notices no. 16 (December, 1997), pp. X-782
  58. Deift, P; Venakides, S; Zhou, X, New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems, International Mathematics Research Notices no. 6 (December, 1997), pp. 284-299
  59. Bonilla, LL; Kindelan, M; Moscoso, M; Venakides, S, Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices, SIAM Journal on Applied Mathematics, vol. 57 no. 6 (January, 1997), pp. 1588-1614, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  60. Deift, P; Venakides, S; Zhou, X, New results in small dispersion kdV by an extension of the steepest descent method for Riemann-Hilbert problems, International Mathematics Research Notices no. 6 (1997), pp. 285-299, Oxford University Press (OUP): Policy B - Oxford Open Option A
  61. Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Asymptotics for polynomials orthogonal with respect to varying exponential weights, International Mathematics Research Notices no. 16 (1997), pp. 759-782, Oxford University Press (OUP): Policy B - Oxford Open Option A
  62. Deift, P; Kriecherbauer, T; Venakides, S, Forced lattice vibrations: Part I, Communications on Pure and Applied Mathematics, vol. 48 no. 11 (January, 1995), pp. 1187-1249, WILEY [doi]  [abs]
  63. Deift, P; Kriecherbauer, T; Venakides, S, Forced lattice vibrations: Part II, Communications on Pure and Applied Mathematics, vol. 48 no. 11 (January, 1995), pp. 1251-1298, WILEY [doi]  [abs]
  64. Deift, P; Kriecherbauer, T; Venakides, S, Forced Lattice Vibrations -- A Videotext (September, 1994)  [abs]
  65. Bonilla, LL; Higuera, FJ; Venakides, S, Gunn effect: Instability of the steady state and stability of the solitary wave in long extrinsic semiconductors, SIAM Journal on Applied Mathematics, vol. 54 no. 6 (January, 1994), pp. 1521-1541, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  66. Deift, P; Venakides, S; Zhou, X, The collisionless shock region for the long‐time behavior of solutions of the KdV equation, Communications on Pure and Applied Mathematics, vol. 47 no. 2 (January, 1994), pp. 199-206, WILEY [doi]  [abs]
  67. Zhang, T; Venakides, S, Periodic limit of inverse scattering, Communications on Pure and Applied Mathematics, vol. 46 no. 6 (January, 1993), pp. 819-865, WILEY [doi]  [abs]
  68. Venakides, S; Deift, P; Oba, R, The toda shock problem, Communications on Pure and Applied Mathematics, vol. 44 no. 8-9 (January, 1991), pp. 1171-1242, WILEY [doi]
  69. Venakides, S, The Korteweg-Devries Equation with Small Dispersion - Higher-Order Lax Levermore Theory, edited by SPIGLER, R, Journal of Applied and Industrial Mathematics, vol. 56 (1991), pp. 255-262, KLUWER ACADEMIC PUBL, ISBN 0-7923-0521-3
  70. Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM Journal on Applied Mathematics, vol. 50 no. 1 (January, 1990), pp. 167-180, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  71. Venakides, S, The korteweg‐de vries equation with small dispersion: Higher order lax‐levermore theory, Communications on Pure and Applied Mathematics, vol. 43 no. 3 (January, 1990), pp. 335-361, WILEY [doi]
  72. Venakides, S, The continuum limit of theta functions, Communications on Pure and Applied Mathematics, vol. 42 no. 6 (January, 1989), pp. 711-728, WILEY [doi]
  73. Venakides, S, The Small Dispersion Limit of the Korteweg-Devries Equation, edited by DAFERMOS, CM; LADAS, G; PAPANICOLAOU, G, Differential Equations, vol. 118 (1989), pp. 725-737, Marcel Dekker, ISBN 0-8247-8077-9
  74. Venakides, S, The infinite period limit of the inverse formalism for periodic potentials, Communications on Pure and Applied Mathematics, vol. 41 no. 1 (January, 1988), pp. 3-17, WILEY [doi]
  75. Venakides, S, The Zero Dispersion Limit of the Korteweg-Devries Equation with Periodic Initial Data, Transactions of the American Mathematical Society, vol. 301 no. 1 (May, 1987), pp. 189-226, American Mathematical Society [doi]
  76. Venakides, S, The zero dispersion limit of the korteweg-de vries equation with periodic initial data, Transactions of the American Mathematical Society, vol. 301 no. 1 (January, 1987), pp. 189-226, American Mathematical Society (AMS) [doi]  [abs]
  77. Venakides, S, Long time asymptotics of the korteweg-de vries equation, Transactions of the American Mathematical Society, vol. 293 no. 1 (January, 1986), pp. 411-419, American Mathematical Society (AMS) [doi]  [abs]
  78. Venakides, S, Long-Time Asymptotics of the Korteweg-Devries Equation, Transcations of the American Mathematical Society, vol. 293 no. 1 (January, 1986), pp. 411-419, JSTOR [doi]
  79. Venakides, S, The generation of modulated wavetrains in the solution of the Korteweg—de vries equation, Communications on Pure and Applied Mathematics, vol. 38 no. 6 (January, 1985), pp. 883-909, WILEY [doi]
  80. Venakides, S, The zero dispersion limit of the korteweg‐de vries equation for initial potentials with non‐trivial reflection coefficient, Communications on Pure and Applied Mathematics, vol. 38 no. 2 (January, 1985), pp. 125-155, WILEY [doi]  [abs]
  81. 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
  82. 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
  83. 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
  84. 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.
  85. M. McDonald, S. Venakides, Renormalization of the Tau Function for Integrable Systems: A Model Problem, CPAM, Vol 51, 1998, 937-966.
  86. 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.
  87. 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.
  88. 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
  89. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part II, Comm. Pure Appl. Math. 48, 1995, 1251-1298.
  90. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part I, Comm. Pure Appl. Math. 48,1995, 1187-1250.
  91. 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.
  92. 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.
  93. 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).
  94. S. Venakides, The solution of completely integrable systems in the continuum limit of the spectral data, IMA Proceedings, vol. 2, (1986) pp. 337-356..
  95. 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.

Witelski, Thomas P.   (search)

  1. Ji, H; Witelski, TP, COARSENING OF THIN FILMS WITH WEAK CONDENSATION, SIAM Journal on Applied Mathematics, vol. 84 no. 2 (January, 2024), pp. 362-386, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  2. Chapman, SJ; Dallaston, MC; Kalliadasis, S; Trinh, PH; Witelski, TP, The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics, Physica D: Nonlinear Phenomena, vol. 453 (November, 2023) [doi]  [abs]
  3. Bowen, M; King, JR; Witelski, TP, CAUCHY-DIRICHLET PROBLEMS FOR THE POROUS MEDIUM EQUATION, Discrete and Continuous Dynamical Systems- Series A, vol. 43 no. 3-4 (March, 2023), pp. 1143-1174, American Institute of Mathematical Sciences (AIMS) [doi]  [abs]
  4. Sanaei, P; Breward, C; Ellis, M; Han, S; Holzer, B; Ji, H; El Kahza, H; Smith, SL; Parsa, S; Reynolds, H; Troy, J; Witelski, T; Zhang, N; Zyskin, M, Evaporation and deposition in porous media (April, 2022) [doi]  [abs]
  5. Kim, R; Witelski, TP, Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle., Mathematical biosciences, vol. 344 (February, 2022), pp. 108764, Elsevier [doi]  [abs]
  6. Zhu, H; Zhang, P; Zhong, Z; Xia, J; Rich, J; Mai, J; Su, X; Tian, Z; Bachman, H; Rufo, J; Gu, Y; Kang, P; Chakrabarty, K; Witelski, TP; Huang, TJ, Acoustohydrodynamic tweezers via spatial arrangement of streaming vortices., Science advances, vol. 7 no. 2 (January, 2021), pp. eabc7885 [doi]  [abs]
  7. Nakad, M; Witelski, T; Domec, JC; Sevanto, S; Katul, G, Taylor dispersion in osmotically driven laminar flows in phloem, Journal of Fluid Mechanics, vol. 913 (January, 2021), Cambridge University Press (CUP) [doi]  [abs]
  8. Aguareles, M; Chapman, SJ; Witelski, T, Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains, Physica D: Nonlinear Phenomena, vol. 414 (December, 2020) [doi]  [abs]
  9. Ji, H; Witelski, T, Steady states and dynamics of a thin-film-type equation with non-conserved mass, European Journal of Applied Mathematics, vol. 31 no. 6 (December, 2020), pp. 968-1001, Cambridge University Press (CUP) [doi]  [abs]
  10. Liu, W; Witelski, TP, Steady states of thin film droplets on chemically heterogeneous substrates, IMA Journal of Applied Mathematics, vol. 85 no. 6 (November, 2020), pp. 980-1020, Oxford University Press (OUP) [doi]  [abs]
  11. Dijksman, JA; Mukhopadhyay, S; Gaebler, C; Witelski, TP; Behringer, RP, Erratum: Obtaining self-similar scalings in focusing flows [Phys. Rev. E 92, 043016 (2015)]., Physical review. E, vol. 101 no. 5-2 (May, 2020), pp. 059902 [doi]  [abs]
  12. Witelski, TP, Nonlinear dynamics of dewetting thin films, AIMS Mathematics, vol. 5 no. 5 (January, 2020), pp. 4229-4259 [doi]  [abs]
  13. Dijksman, JA; Mukhopadhyay, S; Behringer, RP; Witelski, TP, Thermal Marangoni-driven dynamics of spinning liquid films, Physical Review Fluids, vol. 4 no. 8 (August, 2019) [doi]  [abs]
  14. Bowen, M; Witelski, TP, Pressure-dipole solutions of the thin-film equation, European Journal of Applied Mathematics, vol. 30 no. 2 (April, 2019), pp. 358-399 [doi]  [abs]
  15. Gao, Y; Ji, H; Liu, JG; Witelski, TP, A vicinal surface model for epitaxial growth with logarithmic free energy, Discrete and Continuous Dynamical Systems - Series B, vol. 23 no. 10 (December, 2018), pp. 4433-4453, American Institute of Mathematical Sciences (AIMS) [doi]  [abs]
  16. Chiou, J-G; Ramirez, SA; Elston, TC; Witelski, TP; Schaeffer, DG; Lew, DJ, Principles that govern competition or co-existence in Rho-GTPase driven polarization., PLoS Comput Biol, vol. 14 no. 4 (April, 2018), pp. e1006095 [doi]  [abs]
  17. Ji, H; Witelski, TP, Instability and dynamics of volatile thin films, Physical Review Fluids, vol. 3 no. 2 (February, 2018), American Physical Society (APS) [doi]  [abs]
  18. Gao, Y; Ji, H; Liu, JG; Witelski, TP, Global existence of solutions to a tear film model with locally elevated evaporation rates, Physica D: Nonlinear Phenomena, vol. 350 (July, 2017), pp. 13-25, Elsevier BV [doi]  [abs]
  19. Ji, H; Witelski, TP, Finite-time thin film rupture driven by modified evaporative loss, Physica D: Nonlinear Phenomena, vol. 342 (March, 2017), pp. 1-15, Elsevier BV [doi]  [abs]
  20. Sanaei, P; Richardson, GW; Witelski, T; Cummings, LJ, Flow and fouling in a pleated membrane filter, Journal of Fluid Mechanics, vol. 795 (May, 2016), pp. 36-59, Cambridge University Press (CUP) [doi]  [abs]
  21. Smolka, LB; McLaughlin, CK; Witelski, TP, Oil capture from a water surface by a falling sphere, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 497 (May, 2016), pp. 126-132, Elsevier BV, ISSN 0927-7757 [doi]  [abs]
  22. George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a non-smooth system, International Journal of Non-Linear Mechanics, vol. 81 (May, 2016), pp. 55-64, Elsevier BV [doi]  [abs]
  23. Witelski, TP, Preface to the special issue on “Thin films and fluid interfaces”, Journal of Engineering Mathematics, vol. 94 no. 1 (October, 2015), pp. 1-3, Springer Nature, ISSN 0022-0833 [doi]
  24. Dijksman, JA; Mukhopadhyay, S; Gaebler, C; Witelski, TP; Behringer, RP, Obtaining self-similar scalings in focusing flows., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 92 no. 4 (October, 2015), pp. 043016, ISSN 1539-3755 [doi]  [abs]
  25. Witelski, T; Bowen, M, Methods of Mathematical Modelling: Continuous Systems and Differential Equations (September, 2015), pp. 1-305, Springer International Publishing, ISBN 9783319230412 [doi]  [abs] [author's comments]
  26. Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753, ISSN 0022-460X [doi]  [abs]
  27. Hall Taylor, NS; Hewitt, IJ; Ockendon, JR; Witelski, TP, A new model for disturbance waves, International Journal of Multiphase Flow, vol. 66 (January, 2014), pp. 38-45, Elsevier BV, ISSN 0301-9322 [doi]  [abs]
  28. Smolka, LB; Witelski, TP, Biaxial extensional motion of an inertially driven radially expanding liquid sheet, Physics of Fluids, vol. 25 no. 6 (June, 2013), pp. 062105-062105, AIP Publishing, ISSN 1070-6631 [Gateway.cgi], [doi]  [abs]
  29. Chapman, SJ; Trinh, PH; Witelski, TP, Exponential Asymptotics for Thin Film Rupture., SIAM J. Appl. Math., vol. 73 no. 1 (2013), pp. 232-253, Society for Industrial & Applied Mathematics (SIAM) [120872012], [doi]  [abs]
  30. Huang, Y; Witelski, TP; Bertozzi, AL, Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions, Applied Mathematics Letters, vol. 25 no. 12 (December, 2012), pp. 2317-2321, Elsevier BV, ISSN 0893-9659 [doi]  [abs]
  31. Li, Z; Layton, AT; Bertozzi, A; Ambrose, DM; Witelski, T; Minion, ML; Butters, R, , Preface, Discrete and Continuous Dynamical Systems - Series B, vol. 17 no. 4 (February, 2012), pp. i-ii, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492 [doi]
  32. Wiebe, R; Virgin, LN; Witelski, TP, A parametrically forced nonlinear system with reversible equilibria, International Journal of Bifurcation and Chaos, vol. 22 no. 6 (January, 2012), pp. 1230020-1230020, World Scientific Pub Co Pte Lt, ISSN 0218-1274 [doi]  [abs]
  33. Aydemir, E; Breward, CJW; Witelski, TP, The effect of polar lipids on tear film dynamics., Bulletin of mathematical biology, vol. 73 no. 6 (June, 2011), pp. 1171-1201 [20556530], [doi]  [abs]
  34. Aguareles, M; Chapman, SJ; Witelski, T, Motion of spiral waves in the complex Ginzburg-Landau equation, Physica D: Nonlinear Phenomena, vol. 239 no. 7 (April, 2010), pp. 348-365, Elsevier BV, ISSN 0167-2789 [003], [doi]  [abs]
  35. Bernoff, AJ; Witelski, TP, Stability and dynamics of self-similarity in evolution equations, Journal of Engineering Mathematics, vol. 66 no. 1 (January, 2010), pp. 11-31, Springer Nature, ISSN 0022-0833 [s10665-009-9309-8], [doi]  [abs]
  36. Witelski, TP, The subtle art of blowing bubbles (News and Views: Fluid Dynamics), Nature Physics, vol. 5 no. 5 (May, 2009), pp. 315-316, ISSN 1745-2473 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0], [doi]
  37. Witelski, TP; Bowen, M, Singular perturbation theory., Scholarpedia, vol. 4 no. 4 (April, 2009), pp. 3951-3951, Scholarpedia [Singular_perturbation_theory], [doi]
  38. Hwang, HJ; Witelski, TP, Short-time pattern formation in thin film equations, Discrete and Continuous Dynamical Systems, vol. 23 no. 3 (March, 2009), pp. 867-885, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp], [doi]  [abs]
  39. Peterson, E; Shearer, M; Witelski, TP; Levy, R, Stability of traveling waves in thin liquid films driven by gravity and surfactant, edited by Tadmor, E; Liu, J; Tzavaras, A, HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2, vol. 67 no. 2 (January, 2009), pp. 855-+, AMER MATHEMATICAL SOC, ISBN 978-0-8218-4730-5 [Gateway.cgi]
  40. Gratton, MB; Witelski, TP, Transient and self-similar dynamics in thin film coarsening, Physica D: Nonlinear Phenomena, vol. 238 no. 23-24 (January, 2009), pp. 2380-2394, Elsevier BV, ISSN 0167-2789 [015], [doi]  [abs]
  41. Smolka, LB; Witelski, TP, On the planar extensional motion of an inertially driven liquid sheet, Physics of Fluids, vol. 21 no. 4 (January, 2009), pp. 042101-042101, AIP Publishing, ISSN 1070-6631 [042101], [doi]  [abs]
  42. Witelski, TP, Fluid dynamics: The subtle art of blowing bubbles, Nature Physics, vol. 5 no. 5 (January, 2009), pp. 315-316, Springer Nature, ISSN 1745-2473 [doi]
  43. Aguareles, M; Chapman, SJ; Witelski, T, Interaction of spiral waves in the complex Ginzburg-Landau equation., Physical review letters, vol. 101 no. 22 (November, 2008), pp. 224101, ISSN 0031-9007 [doi]  [abs]
  44. Santillan, ST; Plaut, RH; Witelski, TP; Virgin, LN, Large oscillations of beams and columns including self-weight, International Journal of Non-Linear Mechanics, vol. 43 no. 8 (October, 2008), pp. 761-771, Elsevier BV, ISSN 0020-7462 [007], [doi]  [abs]
  45. Catllá, AJ; Schaeffer, DG; Witelski, TP; Monson, EE; Lin, AL, On spiking models for synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 3 (September, 2008), pp. 553-569, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1445 [553], [doi]  [abs]
  46. 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, American Geophysical Union (AGU), ISSN 0043-1397 [2007WR005975], [doi]  [abs]
  47. Gratton, MB; Witelski, TP, Coarsening of unstable thin films subject to gravity., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 77 no. 1 Pt 2 (January, 2008), pp. 016301, ISSN 1539-3755 [doi]  [abs]
  48. Aguareles, M; Chapman, SJ; Witelski, TP, Interaction of spiral waves in the Complex Ginzburg-Landau equation, Physical Review Letters, vol. 101 no. 224101 (2008), ISSN 0031-9007 (doi:10.1103/PhysRevLett.101.224101.) [e224101], [doi]  [abs]
  49. Gratton, MB; Witelski, TP, Coarsening of dewetting thin films subject to gravity, Physical Review E, vol. 77 no. 016301 (2008), pp. 1-11 [e016301]
  50. Levy, R; Shearer, M; Witelski, TP, Gravity-driven thin liquid films with insoluble surfactant: Smooth traveling waves, European Journal of Applied Mathematics, vol. 18 no. 6 (December, 2007), pp. 679-708, Cambridge University Press (CUP), ISSN 0956-7925 [S0956792507007218], [doi]  [abs]
  51. Schaeffer, DG; Shearer, M; Witelski, TP, Boundary-value problems for hyperbolic equations related to steady granular flow, Mathematics and Mechanics of Solids, vol. 12 no. 6 (December, 2007), pp. 665-699, SAGE Publications, ISSN 1081-2865 [1081286506067325], [doi]  [abs]
  52. Witelski, TP; Shearer, M; Levy, R, Growing surfactant waves in thin liquid films driven by gravity, Applied Mathematics Research eXpress, vol. 2006 no. 15487 (December, 2006), pp. 1-21, Oxford University Press (OUP), ISSN 1687-1200 [15487], [doi]  [abs]
  53. Bowen, M; Witelski, TP, The linear limit of the dipole problem for the thin film equation, SIAM Journal on Applied Mathematics, vol. 66 no. 5 (October, 2006), pp. 1727-1748, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [050637832], [doi]  [abs]
  54. Münch, A; Wagner, B; Witelski, TP, Lubrication models with small to large slip lengths, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 359-383, Springer Nature, ISSN 0022-0833 [contribution.asp], [doi]  [abs]
  55. Witelski, TP; Rienstra, SW, Introduction to practical asymptotics III, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 199, Springer Nature, ISSN 0022-0833 [contribution.asp], [doi]  [abs]
  56. Glasner, KB; Witelski, TP, Collision versus collapse of droplets in coarsening of dewetting thin films, Physica D: Nonlinear Phenomena, vol. 209 no. 1-4 SPEC. ISS. (September, 2005), pp. 80-104, Elsevier BV [010], [doi]  [abs]
  57. Haskett, RP; Witelski, TP; Sur, J, Localized Marangoni forcing in driven thin films, Physica D: Nonlinear Phenomena, vol. 209 no. 1-4 SPEC. ISS. (September, 2005), pp. 117-134, Elsevier BV [019], [doi]  [abs]
  58. Fetzer, R; Jacobs, K; Münch, A; Wagner, B; Witelski, TP, New slip regimes and the shape of dewetting thin liquid films., Physical review letters, vol. 95 no. 12 (September, 2005), pp. 127801, ISSN 0031-9007 [16197111], [doi]  [abs]
  59. Witelski, TP, Motion of wetting fronts moving into partially pre-wet soil, Advances in Water Resources, vol. 28 no. 10 SPEC. ISS. (January, 2005), pp. 1133-1141, Elsevier BV [006], [doi]  [abs]
  60. Smolka, LB; Belmonte, A; Henderson, DM; Witelski, TP, Exact solution for the extensional flow of a viscoelastic filament, European Journal of Applied Mathematics, vol. 15 no. 6 (December, 2004), pp. 679-712, Cambridge University Press (CUP) [doi]  [abs]
  61. Sur, J; Witelski, TP; Behringer, RP, Steady-profile fingering flows in Marangoni driven thin films., Physical review letters, vol. 93 no. 24 (December, 2004), pp. 247803, ISSN 0031-9007 [15697861], [doi]  [abs]
  62. Borucki, LJ; Witelski, T; Please, C; Kramer, PR; Schwendeman, D, A theory of pad conditioning for chemical-mechanical polishing, Journal of Engineering Mathematics, vol. 50 no. 1 (December, 2004), pp. 1-24, Springer Nature [issues.aspx], [doi]  [abs]
  63. Witelski, TP; Bernoff, AJ; Bertozzi, AL, 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, Cambridge University Press (CUP) [doi]  [abs]
  64. Witelski, TP, Nonlinear Differential Equations, Mechanics and Bifurcation, Discrete and Continuous Dynamical Systems - Series B, vol. 3 no. 4 (November, 2003), pp. i (A special issue dedicated to David G. Schaeffer's 60th birthday.) [htm]
  65. Shearer, M; Schaeffer, DG; Witelski, TP, Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness, Mathematical Models and Methods in Applied Sciences, vol. 13 no. 11 (November, 2003), pp. 1629-1671, World Scientific Pub Co Pte Lt [doi]  [abs]
  66. Witelski, TP; Bowen, M, ADI schemes for higher-order nonlinear diffusion equations, Applied Numerical Mathematics, vol. 45 no. 2-3 (May, 2003), pp. 331-351, Elsevier BV [S0168-9274(02)00194-0], [doi]  [abs]
  67. Witelski, TP, Intermediate asymptotics for Richards' equation in a finite layer, Journal of Engineering Mathematics, vol. 45 no. 3-4 (April, 2003), pp. 379-399 [A:1022609020200], [doi]  [abs]
  68. Glasner, KB; Witelski, TP, Coarsening dynamics of dewetting films., Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 67 no. 1 Pt 2 (January, 2003), pp. 016302, ISSN 1539-3755 [12636597], [doi]  [abs]
  69. Glasner, KB; Witelski, TP, Coarsening dynamics of dewetting films, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 1 2 (January, 2003), pp. 163021-1630212  [abs]
  70. Schaeffer, DG; Shearer, M; Witelski, T, One-dimensional solutions of an elastoplasticity model of granular material, Math. Models and Methods in Appl. Sciences, vol. 13 (2003), pp. 1629-1671
  71. Witelski, TP, Computing finite-time singularities in interfacial flows, edited by Bourlioux, A; Gander, MJ; Sabidussi, G, MODERN METHODS IN SCIENTIFIC COMPUTING AND APPLICATIONS, vol. 75 (January, 2002), pp. 451-487, SPRINGER, ISSN 1568-2609, ISBN 1-4020-0782-5 [Gateway.cgi]  [abs]
  72. Bernoff, AJ; Witelski, TP, Linear stability of source-type similarity solutions of the thin film equation, Applied Mathematics Letters, vol. 15 no. 5 (January, 2002), pp. 599-606, Elsevier BV, ISSN 0893-9659 [doi]  [abs]
  73. Witelski, TP; Schaeffer, DG; Shearer, M, A discrete model for an ill-posed nonlinear parabolic PDE, Physica D: Nonlinear Phenomena, vol. 160 no. 3-4 (December, 2001), pp. 189-221, Elsevier BV, ISSN 0167-2789 [S0167-2789(01)00350-5], [doi]  [abs]
  74. Vaynblat, D; Lister, JR; Witelski, TP, Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation, European Journal of Applied Mathematics, vol. 12 no. 3 (December, 2001), pp. 209-232, Cambridge University Press (CUP) [doi]  [abs]
  75. Bertozzi, AL; Grün, G; Witelski, TP, Dewetting films: Bifurcations and concentrations, Nonlinearity, vol. 14 no. 6 (November, 2001), pp. 1569-1592, IOP Publishing [doi]  [abs]
  76. Witelski, TP; Ono, K; Kaper, TJ, Critical wave speeds for a family of scalar reaction-diffusion equations, Applied Mathematics Letters, vol. 14 no. 1 (January, 2001), pp. 65-73, Elsevier BV [doi]  [abs]
  77. Vaynblat, D; Lister, JR; Witelski, TP, Rupture of thin viscous films by van der waals forces: Evolution and self-similarity, Physics of Fluids, vol. 13 no. 5 (January, 2001), pp. 1130-1141, AIP Publishing [GetabsServlet], [doi]  [abs]
  78. Witelski, TP; Bernoff, AJ, Dynamics of three-dimensional thin film rupture, Physica D: Nonlinear Phenomena, vol. 147 no. 1-2 (December, 2000), pp. 155-176, Elsevier BV [doi]  [abs]
  79. Witelski, TP; Ono, K; Kaper, TJ, On axisymmetric traveling waves and radial solutions of semi-linear elliptic equations, Natural Resource Modeling, vol. 13 no. 3 (January, 2000), pp. 339-388 [ps], [doi]  [abs]
  80. Witelski, TP; Bernoff, AJ, Stability of self-similar solutions for van der Waals driven thin film rupture, Physics of Fluids, vol. 11 no. 9 (January, 1999), pp. 2443-2445, AIP Publishing, ISSN 1070-6631 [Gateway.cgi], [doi]  [abs]
  81. Witelski, TP; Hendriks, F, Stability of gas bearing sliders for large bearing number: Convective instability of the tapered slider©, Tribology Transactions, vol. 42 no. 1 (January, 1999), pp. 216-222, Informa UK Limited, ISSN 1040-2004 [ps], [doi]  [abs]
  82. Witelski, TP; Hendriks, F, Large bearing number stability analysis for tango class gas bearing sliders, Tribology Transactions, vol. 42 no. 3 (January, 1999), pp. 668-674, Informa UK Limited, ISSN 1040-2004 [ps], [doi]  [abs]
  83. Witelski, TP; Grosberg, AY; Tanaka, T, On the properties of polymer globules in the high density limit, Journal of Chemical Physics, vol. 108 no. 21 (June, 1998), pp. 9144-9149, AIP Publishing [getabs], [doi]  [abs]
  84. Witelski, TP; Bernoff, AJ, Self-similar asymptotics for linear and nonlinear diffusion equations, Studies in Applied Mathematics, vol. 100 no. 2 (January, 1998), pp. 153-193, WILEY [gz], [doi]  [abs]
  85. Witelski, TP, Dynamics of air bearing sliders, Physics of Fluids, vol. 10 no. 3 (January, 1998), pp. 698-708, AIP Publishing [getabs], [doi]  [abs]
  86. Witelski, TP, Horizontal infiltration into wet soil, Water Resources Research, vol. 34 no. 7 (January, 1998), pp. 1859-1863, American Geophysical Union (AGU) [gz], [doi]  [abs]
  87. Witelski, TP, Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation, Applied Mathematics Letters, vol. 11 no. 5 (January, 1998), pp. 127-133, Elsevier BV [doi]  [abs]
  88. Bernoff, AJ; Bertozzi, AL; Witelski, TP, Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff, Journal of Statistical Physics, vol. 93 no. 3-4 (January, 1998), pp. 725-776, Springer Nature [gz], [doi]  [abs]
  89. Brenner, MP; Witelski, TP, On spherically symmetric gravitational collapse, Journal of Statistical Physics, vol. 93 no. 3-4 (January, 1998), pp. 863-899, Springer Nature [gz], [doi]  [abs]
  90. Witelski, TP, Similarity solutions of the lubrication equation, Applied Mathematics Letters, vol. 10 no. 5 (September, 1997), pp. 107-113, Elsevier BV [gz], [doi]  [abs]
  91. Witelski, TP, Segregation and mixing in degenerate diffusion in population dynamics, Journal of Mathematical Biology, vol. 35 no. 6 (January, 1997), pp. 695-712, Springer Nature, ISSN 0303-6812 [gz], [doi]  [abs]
  92. Witelski, TP, Perturbation Analysis for Wetting Fronts in Richards' Equation, Transport in Porous Media, vol. 27 no. 2 (January, 1997), pp. 121-134 [gz], [doi]  [abs]
  93. Witelski, TP, Traveling wave solutions for case II diffusion in polymers, Journal of Polymer Science, Part B: Polymer Physics, vol. 34 no. 1 (January, 1996), pp. 141-150, WILEY [gz], [doi]  [abs]
  94. Witelski, TP, The structure of internal layers for unstable nonlinear diffusion equations, Studies in Applied Mathematics, vol. 97 no. 3 (January, 1996), pp. 277-300, WILEY [gz], [doi]  [abs]
  95. Cohen, DS; Witelski, TP, Inaccessible states in time-dependent reaction diffusion, Studies in Applied Mathematics, vol. 97 no. 4 (January, 1996), pp. 301-319, WILEY [doi]  [abs]
  96. Witelski, TP, Stopping and merging problems for the porous media equation, IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), vol. 54 no. 3 (December, 1995), pp. 227-243, Oxford University Press (OUP), ISSN 0272-4960 [gz], [doi]  [abs]
  97. Witelski, TP; Cohen, DS, Perturbed reversible systems, Physics Letters A, vol. 207 no. 1-2 (October, 1995), pp. 83-86, Elsevier BV, ISSN 0375-9601 [doi]  [abs]
  98. Witelski, TP; Cohen, DS, Forbidden Regions for Shock Formation in Diffusive Systems, Studies in Applied Mathematics, vol. 95 no. 3 (October, 1995), pp. 297-317, WILEY, ISSN 0022-2526 [Gateway.cgi], [doi]  [abs]
  99. Cohen, DS; White, AB; Witelski, TP, Shock formation in a multidimensional viscoelastic diffusive system, SIAM Journal on Applied Mathematics, vol. 55 no. 2 (January, 1995), pp. 348-368, Society for Industrial & Applied Mathematics (SIAM) [gz], [doi]  [abs]
  100. Witelski, TP, Merging traveling waves for the porous-Fisher's equation, Applied Mathematics Letters, vol. 8 no. 4 (January, 1995), pp. 57-62, Elsevier BV, ISSN 0893-9659 [doi]  [abs]
  101. Witelski, TP, Shocks in nonlinear diffusion, Applied Mathematics Letters, vol. 8 no. 5 (January, 1995), pp. 27-32, Elsevier BV, ISSN 0893-9659 [gz], [doi]  [abs]
  102. Witelski, TP, An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation, Journal of Mathematical Biology, vol. 33 no. 1 (November, 1994), pp. 1-16, Springer Nature, ISSN 0303-6812 [gz], [doi]  [abs]
  103. Witelski, T; Ng, P; Ying, J; Jundy, J; Bove, J, 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, Informa UK Limited, ISSN 0306-7319 [doi]  [abs]
  104. Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings, Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI  [abs]
  105. 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]
  106. 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)
Duke University * Arts & Sciences * Mathematics * April 24, 2024

   Search Help Login Join pdf version printable version