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Mathematics Faculty: Publications since January 2012

List all publications in the database.    :chronological  by author  bibtex listing:

  1. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (December, 2013), Springer, in preparation
  2. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (August, 2013), Springer, in preparation
  3. J. Lu with Lin Lin and Sihong Shao, Analysis of the time reversible Born-Oppenheimer molecular dynamics (2013)
  4. J. Lu with Jeremy L. Marzuola, Strang splitting methods applied to a quasilinear Schrodinger equation - convergence and dynamics (2013)
  5. Richard Hain, Genus 3 Mapping Class Groups are not Kähler (May, 2013) [arXiv:1305.2052]
  6. J. Lu with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation (2013) (submitted to SEG Technical Program Expanded Abstracts 2013.)
  7. Richard Hain, Normal Functions and the Geometry of Moduli Spaces of Curves, in Handbook of Moduli, edited by Gavril Farkas, Ian Morrison, vol. I (March, 2013), pp. 527-578, International Press [arXiv:1102.4031]
  8. Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis (March, 2013) [pdf]
  9. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (February, 2013)  [author's comments]
  10. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (February, 2013)  [author's comments]
  11. H.L. Bray and A. R. Parry, Modeling Wave Dark Matter in Dwarf Elliptical Galaxies (January, 2013) [html]
  12. Karin Leiderman, Elizabeth L. Bouzarth, Ricardo Cortez, and Anita T. Layton, A regularization method for the numerical solution of periodic Stokes flow, J Comput Phys, vol. 236 no. 187-202 (2013)
  13. Aniel Nieves-Gonzalez, Chris Clausen, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Transport efficiency and workload distribution in a mathematical model of the thick ascending limb, Am J Physiol Renal Physiol, vol. 304 no. F653-F664 (2013)
  14. Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, Am J Physiol Renal Physiol, vol. 304 no. F634-F652 (2013)
  15. Hwayeon Ryu and Anita T. Layton, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney, J Math Biol, in press (2013)
  16. S. Tlupova and J. T. Beale, Nearly singular integrals in 3D Stokes flow, Commun. Comput. Phys. (2013) [pdf]
  17. W. Ying and J. T. Beale, A fast accurate boundary integral method for potentials on closely packed cells, Commun. Comput. Phys. (2013) [pdf]
  18. Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom., vol. 22 (2013), pp. 581-598 [arXiv:1009.3662]
  19. B. Cornelis, T.Ruzic, E.Gezels, A.Dooms, A.Pizurica, L.Platisa, J.Cornelis, M. Martens, M.DeMey, I.Daubechies, Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece, Signal Processing, vol. 93 (2013), pp. 605-619, Elsevier [S0165168412002526]  [abs]
  20. J. Lu with Pingbing Ming, Convergence of a force-based hybrid method for atomistic and continuum models in three dimension, Comm. Pure Appl. Math., vol. 66 (2013), pp. 83-108
  21. J. Lu with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013)
  22. J. Lu with Eric Vanden-Eijnden, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials, J. Chem. Phys., vol. 138 (2013), pp. 084105
  23. W. Chongchitmate and L. Ng, An atlas of Legendrian knots, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [1010.3997], [doi]
  24. J. Etnyre, L. Ng, and V. Vertesi, Legendrian and transverse twist knots, Journal of the European Mathematical Society, vol. 15 no. 3 (2013), pp. 451-512 [1002.2400], [doi]
  25. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Filtrations on the knot contact homology of transverse knots, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1691 [1010.0450], [doi]
  26. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Knot contact homology, Geometry & Topology, vol. 17 (2013), pp. 975-1112 [1109.1542], [doi]
  27. L. Ng and D. Rutherford, Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra, Algebraic & Geometric Topology (2013) [1206.2259]
  28. F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik, A short proof of the logarithmic Bramson correction in Fisher-KPP equations, Networks and Heterogeneous Media, vol. 8 no. 1 (2013), pp. 275-289 [pdf], [doi]
  29. C. Schoen, The geometric genus of a desingularized fiber product of elliptic surfaces, Proceedings of the American Mathematical Society, vol. 141 no. 3 (2013), pp. 745-752
  30. S.J.Chapman, P.H.Trinh and T.P. Witelski, Exponential asymptotics for thin film rupture, SIAM Journal on Applied Mathematics, vol. 73 no. 1 (2013), pp. 232-253 [120872012], [doi]
  31. Aurelie Edwards and Anita T. Layton, Calcium dynamics underlying the myogenic response of the renal afferent arteriole, Am J Physiol Renal Physiol, submitted (2013)
  32. M. Patel, Stimulus encoding within the barn owl optic tectum using gamma oscillations vs. spike rate: A modeling approach., Network [ePub ahead of print] (2013) [23406211]  [abs]
  33. B. Joshi, M. Patel, Encoding with synchrony: Phase-delayed inhibition allows for reliable and specific stimulus detection., Journal of Theoretical Biology, vol. 328 (2013), pp. 26-32 [23524360]  [abs]
  34. M. Patel, AV Rangan, D Cai, Coding of odors by temporal binding within a model network of the locust antennal lobe., Frontiers in Computational Neuroscience, vol. 7 (2013), pp. 50-67 [23630495]  [abs]
  35. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology (2013) [1303.6371]
  36. J. Lu with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal. (2013)
  37. Sarah D. Olson and Anita T. Layton, Simulating Fluid-Structure Interactions --- A Review, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, submitted (2013)
  38. Anita T. Layton and Aurelie Edwards, Mathematical Modeling of Renal Physiology, Lecture Notes on Mathematical Modelling in the Life Sciences, edited by Angela Stevens and Michael C. Mackey (2013), Springer
  39. Anita T. Layton, Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, submitted (2013)
  40. Hwayeon Ryu and Anita T. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, submitted (2013)
  41. J. Lu with James Nolen, Reactive trajectories and the transition path processes (2013)
  42. J. Lu and J. Nolen, Reactive trajectories and the transition path process. (2013) [1744]
  43. S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs (2013) [6551]
  44. J.R. Getz and J. Klassen, Isolating Rankin-Selberg lifts (2013)
  45. Anita T. Layton, Mathematical modeling of kidney transport, submitted, WIRESs Systems Biology and Medicine, in press (2013)
  46. Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube, Numer. Math. Theor. Meth. Appl., submitted (2013)
  47. S. Gerber, R. Whitaker, Regularization Free Princpal Curve Estimation, JMLR (Winter, 2012)
  48. H.L. Bray, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December 22, 2012) [html]
  49. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, A primitive variable discontinuous Galerkin Method for the modified Cahn-Hilliard Equation, J. Sci. Comp. (December, 2012)
  50. Ilarion V. Melnikov, Callum Quigley, Savdeep Sethi, M.A. Stern, Target Spaces from Chiral Gauge Theories, hep-th arxiv: 1212.1212 (December 12, 2012) [1212]  [abs]
  51. Y. Wang, Hybrid Linear Modeling via Local Best Flats, International Journal of Computer Vision, vol. 100 no. 3 (December, 2012), pp. 217-240, ISSN 0920-5691
  52. Jose A. Perea and Gunnar Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation (December, 2012) [pdf]
  53. N. Addington, R. P. Thomas, Hodge theory and derived categories of cubic fourfolds (November 15, 2012) [1211.3758]
  54. N. Addington, E. Segal, E. Sharpe, D-brane probes, branched double covers, and noncommutative resolutions (November 11, 2012) [1211.2446]
  55. G. Chen, M. Iwen, S. Chin and M. Maggioni, A Fast Multiscale Framework for Data in High Dimensions: Measure Estimation, Anomaly Detection, and Compressive Measurements, in Proceedings of Visual Communications and Image Processing (VCIP) (November, 2012), San Diego, CA
  56. J.C. Mattingly with Avanti Athreya, Tiffany Kolba, Propagating Lyapunov functions to prove noise-induced stabilization, Ellectronic Journal of Probability, vol. 17 (November 2, 2012), pp. 1-38 [math/111.1755], [2410], [doi]  [abs]
  57. M.D. Ryser, Y. Qu, S.V. Komarova, Osteoprotegerin in bone metastases: mathematical solution to the puzzle, J. Comput. Biol. (October 18, 2012)
  58. Bookman, Rann Bar-On, Benjamin Cooke , and Sarah Schott, (Re)discovering SoTL through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes: Guide to the Scholarship of Teaching and Learning in Mathematics (Fall, 2012)
  59. Ivan Matic, James Nolen, A sublinear variance bound for solutions of a random Hamilton-Jacobi equation, J Stat Phys, vol. 149 no. 2 (September, 2012), pp. 342-361, Springer, ISSN 149:342-361 [2937]  [abs]
  60. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, A Mixed Discontinuous Galerkin, Convex Splitting Scheme for the Cahn-Hilliard Equation, SIAM J. Numer. Anal. (September, 2012)
  61. G. Chen, A.V. Little, and M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis (September, 2012), Springer
  62. William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clinical Journal of the American Society of Nephrology. (August, 2012)
  63. R. Bar-On, 105L-106L Coursepack, Fall 2012 and Spring 2013 (August, 2012)
  64. Lewis Blake and Michael Reed,, Laboratory Calculus (2012-2013) (August, 2012)
  65. Jeff M. Sands, David B. Mount, and Harold E. Layton, The physiology of water homeostasis, in Core Concepts in the Disorders of Fluids, Electrolytes, and Acid-Base Balance, edited by David B. Mount, Ajay Singh, and Mo Sayegh (August, 2012), Springer
  66. K. Potter, S. Gerber, E. Anderson, Uncertainty Visualization without a Mean, Visualization Viewpoints (Summer, 2012)
  67. S. Gerber, K. Potter, Data Analysis with the Morse-Smale Complex: The msr Package for R, Journal of Statistical Software (July, 2012)
  68. Carla Cederbaum, The Geometry of Static Spacetimes: Geometrostatics (July, 2012) (Oberwolfach reports.) [www_view]
  69. D. Lawlor, Y. Wang, and A. Christlieb, Adaptive sub-linear Fourier algorithms (Summer, 2012) [1207.6368]  [abs] [author's comments]
  70. L.F. Di Cerbo, Generic Properties of Homogeneous Ricci Solitons, Adv. Geom. (July, 2012)  [author's comments]
  71. M.A. Stern, Geometry of stable Yang--Mills connections, in Advanced Lectures in Mathematics Volume 21: Advances in Geometric Analysis (July, 2012), ISBN ISBN 9781571462480  [abs]
  72. Richard Hain, Monodromy of codimension-one sub-families of universal curves, Duke Math. Journal, vol. 161 no. 7 (June, 2012), pp. 1351-1378 [arXiv:1006.3785]
  73. T.P. Witelski, D. Ambrose, A. Bertozzi, A. Layton, ZL. Li, M. Minion, Preface: special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4 (June, 2012), pp. i-ii
  74. R. Moss, T. Grosse, I. Marchant, N. Lassau, F. Gueyffier, S. R. Thomas, Virtual patients and sensitivity analysis of the Guyton model of blood pressure regulation: towards individualized models of whole-body physiology, PLoS Comp Biol, vol. 8 no. 6 (June, 2012), pp. e1002571 [journal.pcbi.1002571], [doi]  [abs]
  75. Alexandru Dimca, Richard Hain, Stefan Papadima, The abelianization of the Johnson kernel, Journal of the European Mathematical Society (June, 2012) [arXiv:1101.1392]
  76. Badal Joshi and Anne Shiu, Simplifying the Jacobian Criterion for precluding multistationarity in chemical reaction networks, SIAM Journal on Applied Mathematics, vol. 72 no. 3 (June, 2012), pp. 857-876 [arXiv:1106.1578v2]
  77. M. Hairer, M.D. Ryser, H. Weber, Triviality of the 2D stochastic Allen-Cahn equation, Electron. J. Probab. (May 30, 2012) [arXiv:1201.3089v1], [1731]
  78. L.F. Di Cerbo, On K\"ahler-Einstein surfaces with edge singularities (May, 2012)  [author's comments]
  79. S. Minsker, Non-asymptotic bounds for prediction problems and density estimation, Ph.D. Thesis, Georgia Institute of Technology (May, 2012) [pdf]
  80. W.K. Allard, G. Chen, and M. Maggioni, Multiscale Geometric Methods for Data Sets II: Geometric Multi-Resolution Analysis, Applied and Computational Harmonic Analysis, vol. 32 no. 3 (May, 2012), pp. 435-462 [doi]  [author's comments]
  81. Fishkind, Donniell E. and Sussman, Daniel L. and Tang, Minh and Vogelstein, Joshua T. and Priebe, Carey E., Consistent adjacency-spectral partitioning for the stochastic block model when the model parameters are unknown, Arxiv preprint (May, 2012), pp. 20, submitted, arXiv:1205.0309v1 [0309]  [abs]
  82. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, American Journal of Physiology--Renal Physiology 302:F1188-F1202 (May, 2012)
  83. J. Birrell, D.P. Herzog, and J. Wehr, The transition from ergodic to explosive behavior in a family of stochastic differential equation., Stochastic Processes and their Applications, vol. 122 no. 5 (April, 2012), pp. 1519-1539
  84. L. Ji, K. Murty, L. Saper, and J. Scherk, The Fundamental Group of Reductive Borel-Serre and Satake Compactifications (April, 2012)  [abs]
  85. M. Maggioni, What is...data mining?, A.M.S. Notices (April, 2012) [pdf]
  86. K. J. Bolton, J. M. McCaw, R. Moss, R. S. Morris, S. Wang, A. Burma, B. Darma, D. Narangerel, P. Nymadawa, J. McVernon, Likely effectiveness of pharmaceutical and non-pharmaceutical interventions for mitigating influenza virus transmission in Mongolia, Bull WHO, vol. 90 no. 4 (April, 2012), pp. 264-271 [html], [doi]  [abs]
  87. Roberts, N. J. and Vogelstein, Joshua T. and Parmigiani, Giovanni and Kinzler, K. W. and Vogelstein, Bert and Velculescu, Victor E, The Predictive Capacity of Personal Genome Sequencing, Science Translational Medicine (April, 2012), ISSN 1946-6234 [scitranslmed.3003380], [doi]
  88. S. Gerber, O. Ruebel, P.-T. Bremer, V. Pascucci, R. Whitaker, Morse-Smale Regression, Journal of Computational and Graphical Statistics (Spring, 2012)
  89. R. Durrett, J.P. Gleeson, A. Lloyd, P.J. Mucha, F. Shi, D. Sivakoff, J. Socolar, C. Varghese, Graph fission in an evolving voter model, PNAS, vol. 109 no. 10 (March 6, 2012), pp. 3682-3687
  90. F. Krahmer, R. Saab, R. Ward, Root-exponential accuracy for coarse quantization of finite frame expansions, IEEE Transactions on Information Theory (February, 2012) [pdf]
  91. M. P. Friedlander, H. Mansour, R. Saab, Ö. Yilmaz, Recovering Compressively Sampled Signals Using Partial Support Information, IEEE Transactions on Information Theory (February, 2012) [1010.4612v2]
  92. S. Minsker, Plug-in Approach to Active Learning, Journal of Machine Learning Research, vol. 13 (January, 2012), pp. 67-90
  93. T. Galkovskyi, Y. Mileyko, A. Bucksch, B. Moore, O. Symonova, C. Price, C. Topp, A. Iyer-Pascuzzi, P. Zurek, S. Fang, J. Harer, P. Benfey and J. Weitz, GiA Roots: software for the high throughput analysis of plant root system architecture, BMC Plant Biology, vol. 12 no. 116 (2012)  [abs]
  94. Elizabeth Munch , Michael Shapiro and John Harer, Failure Filtrations for Fenced Sensor Networks, The International Journal of Robotics Research, vol. 31 no. 9 (2012)
  95. 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, Nature Biotechnology (2012)
  96. Anastasia Deckard, Ron C. Anafi, John B. Hogenesch, Steven B. Haase, John Harer, Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data, PLOS Computational Biology (2012)  [abs]
  97. Anastasia Deckard, Jurgen Sladeczek, David A. Orlando, Steven B. Haase and John Harer, Biochronicity Website: Sharing the results of running periodicity detection algorithms on biological data (2012)  [abs]
  98. Paul Bendich , Jacob Harer and John Harer, Persistent Homology Enhanced Dimension Reduction, Foundations of Computational Mathematics (2012)
  99. Katherine Turner, Yuriy Mileyko, Sayan Mukherjee and John Hare, Fréchet Means for Distributions of Persistence diagrams, arXiv:1206.2790 [math.ST] (2012)  [abs]
  100. Joshua T. Vogelstein, William R. Gray, R. Jacob Vogelstein, and Carey E. Priebe, Graph Classification using Signal Subgraphs: Applications in Statistical Connectomics., IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. in press (2012) [1427]
  101. Dai E, He H, Vogelstein JT, Hou Zengguag, Accurate Prediction of AD Patients using Cortical Thickness Networks., Machine Vision and Applications. (2012)
  102. CE Priebe, DL Sussman, M Tang, JT Vogelstein, Statistical inference on errorfully observed graphs, JASA (2012)
  103. Q Wu, D Carlson, W Lian, M Zhou, CR Stoetzner, D Kipke, D Weber, JT Vogelstein, D Dunson, L Carin, Sorting Electrophysiological Data via Dictionary Learning & Mixture Modeling, IEEE TBME (2012)
  104. D Koutra, JT Vogelstein, C Faloutsos, DeltaCon: Measuring Connectivity Differences in Large Networks, SIAM International Conference on Data Mining (2012)
  105. J. Vogelstein, Large (Brain) Graph Matching via Fast Approximate Quadratic Programming, PAMI (2012)
  106. J. Vogelstein, Shuffled Graph Classification: Theory and Applications in Statistical Connectomics., Journal of Classification (2012)
  107. C.R. Cornwell, A polynomial invariant for links in lens spaces, J. Knot Theory and its Ramifications, vol. 21 no. 2 (2012) [math.GT/1002.1543]
  108. Benson Farb, Richard Hain, Eduard Looijenga, Moduli Spaces of Riemann Surfaces, IAS/Park City Mathematics Series (should be published in 2013), American Mathematical Society
  109. J. Haack, S. Jin and J.-G. Liu, An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations, Commun. Comput. Phy., vol. 12 (2012), pp. 955-980
  110. A. Chertock, J.-G. Liu, and T. Pendleton, Convergence of a particle method and global weak solutions of a family of evolutionary PDEs, SIAM J. Numer. Anal., vol. 50 (2012), pp. 1-21
  111. P. Degond and J.-G. Liu, Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation, Math. Models Methods Appl. Sci., vol. 22 (2012), pp. 1114001-18
  112. J. Carrillo, L. Chen, J.-G. Liu and J. Wang, A note on the subcritical two dimensional Keller-Segel system, Acta Applicanda Mathematicae, vol. 119 (2012), pp. 43-55
  113. A. Frouvelle and J.-G. Liu, Dynamics in a kinetic model of oriented particles with phase transition, SIAM J. Math Anal, vol. 44 (2012), pp. 791--826
  114. L. Chen, J.-G. Liu and J. Wang, Multi-dimensional degenerate Keller-Segel system with critical diffusion exponent 2n/(n+2), SIAM J. Math Anal, vol. 44 (2012), pp. 1077-1102
  115. X. Chen and J.-G. Liu, Two Nonlinear Compactness Theorems in L^p(0,T;B), Appl. Math. Lett., vol. 25 (2012), pp. 2252-2257
  116. D. Chae and J. G. Liu, Blow-up, zero alpha limit and the Liouville type theorem for the Euler-Poincare equations, Comm. Math. Phy.,, vol. 314 (2012), pp. 671-687
  117. P. Degond, A. Frouvell, J.-G. Liu, Macroscopic limits and phase transition in a system of self-propelled particles, J Nonlinear Sci. (2012)
  118. J. Bouvrie, M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
  119. J. Bouvrie, M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012) [pdf]
  120. A. Coppola, B. Wenner, R. Stevens, O. Ilkayeva, M. Maggioni, T. Slotkin, E. Levin, C. Newgard, Branched-chain amino acids alter neurobehavioral function in rats, American Journal of Physiology - Endocrinology and Metabolism (2012)
  121. M. Iwen, M. Maggioni, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, Inference & Information (2012)
  122. J. Bouvrie, M. Maggioni, Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning (2012) [1212.1143]
  123. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature (2012)
  124. O. Bobrowski, M. S. Borman, Euler Integration of Gaussian Random Fields and Persistent Homology, Journal of Topology and Analysis, vol. 4 no. 1 (2012), ISSN 1793-5253
  125. M. Patel, M. Reed, Stimulus Encoding Within the Barn Owl Optic Tectum Using Gamma Oscillations versus Spike Rate: A Modeling Approach., Network: Computation in Neural Systems (2012)
  126. P.L. Bendich with Jacob Harer and John Harer, A Persistent Homology Based Geodesic Distance Estimator (2012)
  127. M. Reed, H. F. Nijhout, J. Best, Mathematical insights into the effects of levodopa, Frontiers in Integrative Neuroscience, vol. 6 (2012), pp. 1-24
  128. S. Luo, M. Reed, J. Mattingly, K, Koelle, population dynamics of antigenic immune escape The impact of host immune status on the within-host and, J. Royal Soc. Interface, vol. (doi: 10.1098/rsif.2012.0180) (2012)
  129. T. Duncan, M. Reed, H. F. Nijhout, The relationship between intracellular and plasma levels of folate and metabolites in the methionine cycle: A model, Mol. Food Nutr. Res., vol. DOI 10.1002/mnfr.201200125 (2012), pp. 1-9
  130. R. Ben-Shachar, Y, Chen, S. Luo, C. Hartman, M. Reed, H. F. Nijhout, The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model, Theoretical Biology and Medical Modeling (2012)
  131. Mark Huber, and Sarah Schott, Random Construction of Interpolating Sets for High Dimensional Integration, Journal of Applied Probability (2012)
  132. P.S. Aspinwall, Some Applications of Commutative Algebra to String Theory, in Commutative Algebra, Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (2012)  [abs]
  133. A. Tovbis, S. Venakides, Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrödinger Equation, Int Math Res Notices, vol. 2012 no. 10 (2012), pp. 2212-2271 (doi:10.1093/imrn/rnr092.)  [abs]
  134. S. Shipman, S. Venakides, An exactly solvable model for nonlinear resonant scattering, Nonlinearity, vol. 25 no. 9 (2012), pp. 2473-2501 (doi:10.1088/0951-7715/25/9/2473.)  [abs]
  135. S. Minsker, On some extensions of Bernstein’s inequality for self-adjoint operators (2012) [5448]
  136. J.R. Getz and M. Goresky, Hilbert modular forms with coefficients in intersection homology and quadratic base change, in Progress in Mathematics, vol. 298 (2012), Birkhauser
  137. J.R. Getz, An approach to nonsolvable base change and descent, Journal of the Ramanujan Mathematical Society, vol. 27 no. 2 (2012), pp. 143-211 [pdf]  [abs]
  138. J.R. Getz and E. Wambach, Twisted relative trace formulae with a view towards unitary groups, AJM (2012) [pdf]  [abs]
  139. J.R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties (2012)  [abs]
  140. Y. Wang and F. Porikli, Multiple Dictionary Learning for Blocking Artifacts Reduction, Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on (2012), ISSN 1520-6149
  141. Y. Wang, A. Szlam and G. Lerman, Robust Locally Linear Analysis with Applications to Image Denoising and Blind Inpainting, SIAM Journal on Imaging Sciences (2012), ISSN 1936-4954
  142. C. Berkesch, D. Erman, M. Kummini, Three flavors of extremal Betti tables (2012) [5707]
  143. J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties (2012)
  144. S. Akhtari, C. David, H. Hahn and L. Thompson, Distribution of square-free values of sequences associated with elliptic curves (2012)
  145. N. Strawn, A. Armagan, R.Saab, L. Carin, D. Dunson, Finite sample posterior concentration in high-dimensional regression (2012)
  146. A. Powell, R. Saab, O. Yilmaz, Quantization and finite frames, in Finite frames, edited by P. Casazza, G. Kutyniok (2012), ISBN 978-0-8176-8373-3
  147. J. Lu with Weinan E, Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model, J. Math. Phys., vol. 53 (2012), pp. 115615
  148. J. Lu with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance (2012)
  149. J. Lu with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface (2012)
  150. K. McGoff, Random subshifts of finite type, Annals of Probability, vol. 40 no. 2 (2012), pp. 648–694 [arXiv:1006.1325v1], [1332772716]
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  155. K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer, J. Theor. Biol. (2012)
  156. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
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  159. Anita T. Layton and Lise Bankir, Impacts of active urea secretion into pars recta on urine concentrating mechanism, Physiol Report, submitted (2012)
  160. Ioannis Sgouralis and Anita T. Layton, Contol and modulation of fluid flow in the rat kidney, Bull Math Biol, submitted (2012)
  161. J. Lu with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2012)
  162. J. Bouvrie and B. Hamzi, Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure, in Proc. American Control Conference (ACC) (2012)
  163. M. Raginsky and J. Bouvrie, Continuous-Time Stochastic Mirror Descent on a Network: Variance Reduction, Consensus, Convergence, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
  164. J. Bouvrie and M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
  165. J. Bouvrie and J.-J.E. Slotine, Synchronization can Control Regularization in Neural Systems via Correlated Noise Processes, in Proc. Advances in Neural Information Processing Systems (NIPS) 25 (2012)
  166. J. Bouvrie and M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, in Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
  167. Gray, William R. and Kleissas, Dean M and Burck, James M and Vogelstein, Joshua T. and Perlman, Eric and Burlina, Philippe M and Burns, Randal and Vogelstein, R. Jacob, Towards a Fully Automatic Pipeline for Connectome Estimation from High-Resolution Electron Microscopy Data, Cold Spring Harbor Labs conference on Neural Circuits (2012)
  168. J. Lu with Weinan E, Lin Lin, Lexing Ying, Optimized local basis function for Kohn-Sham density functional theory, J. Comput. Phys., vol. 231 (2012), pp. 4515
  169. J. Lu with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451
  170. J. Lu with Weinan E, Lin Lin, Lexing Ying, Adaptive local basis set for Kohn-Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation, J. Comput. Phys., vol. 231 (2012), pp. 2140
  171. J. Lu with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759
  172. William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clin J Am Soc Nephrol, in press (2012)
  173. Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita T. Layton, Harold E. Layton, and Leon C. Moore, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, American Journal of Physiology---Renal Physiology (2012)
  174. Aniel Nieves-Gonzalez, Chris Clausen, Anita T. Layton, Harold E. Layton, and Leon C. Moore, Efficiency and workload distribution in a mathematical model of the thick ascending limb, American Journal of Physiology--Renal Physiology (2012)
  175. C.D. Brummitt, S. Chatterjee, P.S. Dey, D. Sivakoff, Jigsaw percolation: What social networks can collaboratively solve a puzzle? (2012) [arXiv:1207.1927]
  176. Gabor E. Linthorst, Lonneke Haer-Wigman, Jeff M. Sands, Janet D. Klein, Tiffany L. Thai, Arthur J. Verhoeven, Rob van Zwieten, Maaike C. Jansweijer, Alida C. Knegt, Minke H. de Ru, Jaap W. Groothoff, Michael Ludwig, Anita T. Layton, and Arend Bökenkamp, Familial azotemia caused by a duplication of the UT-B transporter, J Am Soc Nephrol, submitted (2012)
  177. Yi Li, Sarah A. Williams, and Anita T. Layton, A hybrid immersed interface method for driven stokes flow in an elastic tube, Numer. Math. Theor. Meth. Appl., in press (2012)
  178. Mainak Patel and Badal Joshi, Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter (2012)
  179. Anita T. Layton, John Stockie, Zhilin Li, and Huaxiong Huang (editors), Fluid Motion Driven by Immersed Structures, A special issue of Commun Comput Phys, vol. 2 (2012)
  180. Gene Hou, Jin Wang, and Anita T. Layton, Numerical methods for fluid-structure interaction – a review, Comm Comput Phys, vol. 12 (2012), pp. 337-377
  181. Anita T. Layton and J. Thomas Beale, A partially implicit hybrid method for computing interface motion in Stokes flow, Discrete and Continuous Dynamical Systems B, vol. 17 (2012), pp. 1139-1153
  182. Ioannis Sgouralis and Anita T. Layton, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole, Am J Physiol Renal Physiol, vol. 303 no. F229-F239 (2012)
  183. Yi Li and Anita T. Layton, Accurate computation of Stokes flow driven by an open immersed interface, J. Compute. Phys., vol. 231 no. 15 (2012), pp. 5195-5215
  184. Anita T. Layton, Philip Pham, and Hwa-Yeon Ryu, Signal transduction in a compliant short loop of Henle, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 369-380
  185. Anita T. Layton, Rebecca Gilbert, and Thomas L. Pannabecker, Isolated interstitial nodal spaces may facilitate preferential solute and fluid mixing in the rat renal inner medulla, Am J Physiol Renal Physiol, vol. 302 no. 7 (2012), pp. F830-F839
  186. Anita T. Layton, William H. Dantzler, and Thomas L. Pannabecker, Urine concentrating mechanism: Impact of vascular and tubular architecture and a proposed descending limb urea-Na+ cotransporter, Am J Physiol Renal Physiol, vol. 302 no. 5 (2012), pp. F591-F605
  187. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, Am. J. Physiol. Renal Physiol., vol. 302 (2012), pp. F1188-F1202
  188. Natasha S. Savage, Anita T. Layton, and Daniel J. Lew, Mechanistic mathematical model of polarity in yeast, Mol Biol Cell, vol. 23 no. 10 (2012), pp. 1998-2013
  189. Anita T. Layton, A velocity decomposition approach for solving the immersed interface problem with Dirichlet boundary conditions, IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding (2012), pp. 263-270
  190. Hwayeon Ryu and Anita T. Layton, Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb, Med Math Biol, in press (2012)
  191. A. T. Layton and J. T. Beale, A partially implicit hybrid method for computing interface motion in Stokes flow, Discrete and Continuous Dynamical Systems B, vol. 17 (2012), pp. 1139-53 [pdf]
  192. J. T. Beale, Partially implicit motion of a sharp interface in Navier-Stokes flow, J. Comput. Phys., vol. 231 (2012), pp. 6159-72 [pdf]
  193. P.L. Bendich with Bei Wang and Sayan Mukherjee, Local Homology Transfer and Stratification Learning, Proc. of 24th Sympos. on Discrete Algorithms (2012)
  194. Emily Decker Lardner and Jack Bookman, Lessons Learned in Interdisciplinary Professional Development Designed to Promote the Teaching of Quantitative Literacy, Journal of Faculty Development (2012)
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  196. H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume (2012) [html]
  197. C. Berkesch, J. Burke, D. Erman, and C. Gibbons, The cone of Betti diagrams over a hypersurface ring of low embedding dimension, J. Pure Applied Algebra, vol. 216 (2012), pp. 2256--2268 [arXiv:1109.5198]
  198. J. Gravner, C. Hoffman, J. Pfeiffer, D. Sivakoff, Bootstrap percolation on the Hamming torus (2012) [arxiv:1202.5351]
  199. D. Sivakoff, Contact process on random graphs with communities (2012) [arXiv:1210.3434]
  200. First Miller with Alan Guo, Algorithms for lattice games, International Journal of Game Theory (2012) (12 pages.) [math.CO/1105.5413], [DOI:10.1007/s00182-012-0319-9]  [abs]
  201. First Miller, Affine stratifications from finite misère quotients, Journal of Algebraic Combinatorics (2012) (9 pages.) [math.CO/1009.2199], [DOI:10.1007/s10801-012-0355-3]  [abs]
  202. First Miller with Thomas Kahle, Decompositions of commutative monoid congruences and binomial ideals, Algebra & Number Theory (2012) (62 pages.) [math.AC/1107.4699]  [abs]
  203. First Miller with Thomas Hotz, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, James Nolen, Megan Owen, Vic Patrangenaru, and Sean Skwerer, Sticky central limit theorems on open books, Annals of Applied Probability (2012) (20 pages.) [math.PR/1202.4267]  [abs]
  204. First Miller with Manoj Gopalkrishnan and Anne Shiu, A projection argument for differential inclusions, with applications to persistence of mass-action kinetics, SIGMA (Symmetry, Integrability, and Geometry: Methods and Applications) (2012) (32 pages.) [math.DS/1208.0874]  [abs]
  205. First Miller with Megan Owen and Scott Provan, Averaging metric phylogenetic trees (2012) (43 pages.) [math.MG/1211.7046]  [abs]
  206. First Miller with Christine Berkesch and Stephen Griffeth, Systems of parameters and holonomicity of hypergeometric systems (2012) (5 pages.)  [abs]
  207. I. Daubechies, Developing Mathematical Tools to Investigate Art, in Bridges 2012 Proceedings, edited by Robert Bosch, Douglas McKenna, and Reza Sarhangi (2012), Jacobs Publishing, http://www.mathartfun.com  [abs]
  208. G. Polatkan, M. Zhou, L. Carin, D. Blei, and I. Daubechies, A Bayesian nonparametric approach to image super-resolution (2012) [5019]  [abs]
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  212. W.K. Allard, G. Chen, M. Maggioni, Multiscale Geometric Methods for Data Sets II: Geometric Wavelets, Appl. Comp. Harm. Anal., vol. 32 no. 3 (2012)
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  222. Geenen S, du Preez FB, Reed MC, Nijhout HF, Kenna JG, Wilson ID, Westerhoff HV and Snoep JL, A Mathematical Modelling Approach to Assessing the Reliability of Biomarkers of Glutathione Metabolism, Eur. J. Pharm. Sci. (doi:10.1016/j.ejps.2011.08.017) (2012)
  223. C. Mitchell, M.C. Reed, Do Real Neurons Have Time Windows?, Journal of Computational Neuroscience (2012)
  224. R. Durrett and D. Remenik, Evolution of dispersal distance, J. Mathematical Biology, vol. 64 (2012), pp. 657-666
  225. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case (2012)
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  230. Anita T. Layton, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
  231. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus (In preparation)  [abs]
  232. R. Durrett, J.P. Gleeson, A.L. Lloyd, P.J. Mucha, Feng Shi, D. Sivakoff, J.E.S. Socoloar, and C. Varghese, Graph fission in an evolving voter model, Proceedings of the National Academy of Science, vol. 109 (2012), pp. 3682-3687
  233. J.C. Mattingly with Mattingly, Jonathan C. and McKinley, Scott A. and Pillai, Natesh S., Geometric ergodicity of a bead--spring pair with stochastic {S}tokes forcing, Stochastic Processes and their Applications, vol. 122 no. 12 (2012), pp. 3953--3979, ISSN 0304-4149 [MR2971721], [0902.4496]  [abs]
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  235. Anita T. Layton and Guowei Wei, Editorial: Interface methods for biological and biomedical problems, edited by 289-290, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012)
  236. Anita T. Layton and Guo-Wei Wei (editors), Interface Methods for Biological and Biomedical Problems, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 289-399
  237. Thoma Witelski, David Ambrose, Andrea Bertozzi, Anita Layton, and Zhilin Li (editors), Fluid Dynamics, Analysis and Numerics, Special issue of Discrete and Continuous Dynamical Systems - Series B (2012)
  238. Aurélie Edwards and Anita T. Layton, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Am J Physiol Renal Physiol, vol. 303 no. 7 (2012), pp. F907-F917
  239. 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)
  240. J. B. Greer and A. L. Bertozzi, H-1 solutions of a class of fourth order nonlinear equations for image processing, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366
  241. S. Ferrari and M. Maggioni and N. A. Borghese, Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks,, IEEE Trans. on Neural Networks, vol. 15 no. 1 (2004), pp. 178--188
  242. 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..)
  243. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)
  244. M.D. Ryser, S.V. Komarova, Mathematical modeling of cancer metastases, in Computational Bioengineering , CRC/Taylor & Francis (Invited book chapter.)
  245. Carla Cederbaum, Geometrostatics: the geometry of static space-times, Conference Proceedings "Relativity and Gravitation -- 100 years after Einstein in Prague" , accepted 2012 [arXiv:1210.4436]  [abs]
  246. Trangenstein, J.A. and Bell, J.B., Mathematical structure of compositional reservoir simulation, SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5 , pp. 817 - 45  [abs]

 

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