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Mathematics Faculty: Publications since January 2013

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

  1. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (July, 2015), Springer, in preparation
  2. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (July, 2014), Springer, in preparation
  3. H.L. Bray and J. L. Jauregui, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass, Communications in Mathematical Physics (April, 2014) [arXiv:1310.8638 [math.DG]], [8638]
  4. Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics (April, 2014) [arXiv:1307.6188]
  5. J.C. Mattingly with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014) [arXiv:1404.0955]
  6. J.C. Mattingly with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014) [arXiv:1404.0957]
  7. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows I (April, 2014) [pdf]
  8. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows II (April, 2014) [pdf]
  9. Richard Hain, The Hodge-de Rham theory of modular groups (March, 2014) [arXiv:1403.6443]
  10. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source, IMA Journal of Numerical Analysis (March, 2014)
  11. A. C. Aristotelous, M. A. Haider, Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs using a Hybrid Discrete Model, Processes (March, 2014)
  12. Jose A. Perea and Gunnar Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation, International Journal of Computer Vision, vol. 107 no. 1 (March, 2014), pp. 75-97, ISSN 0920-5691 [doi]
  13. T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi]
  14. Andreas C. Aristotelous and Richard Durrett, Chemical Evolutionary Games, Theoretical Population Biology (February, 2014)
  15. Andreas C. Aristotelous and Mansoor A. Haider, Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues., Int. J. Numer. Meth. Biomed. Engng. (February, 2014)
  16. H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II (February, 2014) [arXiv:1402.3287 [math.DG]], [3287]  [abs]
  17. Aurelie Edwards and Anita T. Layton, Calcium dynamics underlying the myogenic response of the renal afferent arteriole, Am J Physiol Renal Physiol, vol. 306 no. F34-F48 (2014)
  18. Ioannis Sgouralis and Anita T. Layton, Theoretical assessment of renal autoregulatory mechanisms, Am J Physiol Renal Physiol, in press (2014)
  19. Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube, Numer. Math. Theor. Meth. Appl., in press (2014)
  20. Robert Moss and Anita T. Layton, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model, Am J Physiol Renal Physiol, in press (2014)
  21. G. Bal, J. Bergbauer, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, M. Shaker, C. Wenk, Skeleton-based recognition of shapes in images via longest path matching (2014)
  22. J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176
  23. J. R. Getz and H. Hahn, A general simple relative trace formula and a relative Weyl law (2014)
  24. Alexandru Dimca, Richard Hain, Stefan Papadima, The abelianization of the Johnson kernel, Journal of the European Mathematical Society, vol. 16 no. 4 (2014), pp. 805-822 [arXiv:1101.1392], [show_abstract.php]
  25. J.R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176  [abs]
  26. J.R. Getz and H. Hahn, A general simple relative trace formula and a relative Weyl law (2014)
  27. J. Lu with Lin Lin and Sihong Shao, Analysis of the time reversible Born-Oppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 (2014), pp. 110-137 (Special issue on Molecular Dynamics Simulation.)
  28. J. Lu with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2014)
  29. J. Lu with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Comm. Math. Phys. (2014)
  30. J. Lu with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields (2014)
  31. J. Lu with Qin Li, Weiran Sun, A convergent method for linear half-space kinetic equation (2014)
  32. J. Lu with Bin Hu, Dynamic production capacity management with price skimming (2014)
  33. J. Lu with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization (2014)
  34. J. Lu with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezing transforms (2014)
  35. S. Bian, J.-G. Liu, and C. Zou, Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d, Kinetic and Related Models, vol. 7 (2014), pp. 9-28
  36. Y. Duan and J.-G. Liu, Convergence analysis of the vortex blob method for the b-equation, Discrete Contin. Dyn. Syst. Ser. A, vol. 34 (2014), pp. 1995-2011
  37. L. Ng, A topological introduction to knot contact homology, in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz (2014), ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi]
  38. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus (Accepted)  [abs]
  39. J. Lu with Weinan E, Mathematical theory of solids: from quantum mechanics to continuum models (2014)
  40. J. Lu with Ricardo Delgadillo and Xu Yang, Frozen Gaussian approximation for high frequency wave propagation in periodic media (2014)
  41. Gregory J. Herschlag, Jian-Guo Liu, and Anita T. Layton, An exact solution for Stokes flow in an in nite channel with permeable walls, J Fluid Mech, submitted (2014)
  42. J. Lu with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation (2014)
  43. W. Liao and A. Fannjiang, MUSIC for single-snapshot spectral estimation: stability and super-resolution (2014) [PDF]
  44. J.C. Mattingly with Sean D. Lawley and Michael C. Reed, Sensitivity to switching rates in stochastically switched ODEs (2014) [arXiv:1310.2525]  [abs]
  45. J. Lu with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media (2014)
  46. J. Lu with Vitaly Moroz, Cyrill B. Muratov, Orbital-free density functional theory of out-of-plane charge screening in graphene (2014)
  47. Brendan C. Fry and Anita T. Layton, Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels, Math Biosci, submitted (2014)
  48. Aurelie Edwards, Hayo Castrop, Kamel Laghmani, Volker Vallon, and Anita T. Layton, Regulation of NKCC2 isoform expression and NaCl transport in the thick ascending limb and macula densa cells, Am J Physiol Renal Physiol, submitted (2014)
  49. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  50. Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton, Impact of renal medullary three-dimensional architecture on oxygen transport, Am J Physiol Renal Physiol, submitted (2014)
  51. G. Di Cerbo, L.F. Di Cerbo, A sharp cusp count for complex hyperbolic surfaces and related results (December, 2013) [arXiv:1312.5368]
  52. H.L. Bray and J. L. Jauregui, On Curves with Nonnegative Torsion (December, 2013) [arXiv:1312.5171 [math.DG]], [5171]
  53. M. Maggioni, Geometric Estimation of Probability Measures in High-Dimensions, Proc. IEEE Asilomar Conference (November, 2013)
  54. Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise, A Mixed Discontinuous Galerkin, Convex Splitting Scheme for a Modified Cahn-Hilliard Equation and an Efficient Nonlinear Multigrid Solver., DCDS-B, vol. 18 no. 9 (November, 2013), pp. 2211–2238
  55. Y. Wang, K mappings and regression trees (October, 2013)
  56. Anda Degeratu and M.A. Stern, Witten spinors on nonspin manifolds, Communications of Mathematical Physics 2013 (October, 2013) [DG/1112.0194], [0194]  [abs]
  57. Richard Hain, Notes on the Universal Elliptic KZB Equation (September, 2013) [arXiv:1309.0580]
  58. L.F. Di Cerbo, Classification of Toroidal Compactifications with 3\bar{c}_{2}=\bar{c}^{2}_{1} and \bar{c}_{2}=1 (September, 2013) [arXiv:1309.5516]
  59. H.L. Bray and J.L. Jauregui, A Geometric Theory of Zero Area Singularities in General Relativity, Asian Journal of Mathematics, vol. 17 no. 3 (September, 2013), pp. 525-560 [arXiv:0909.0522v1]
  60. Lewis Blake and Michael Reed, Laboratory Calculus (2013-2014) (August, 2013)
  61. B. Charbonneau and M. Stern, Asymptotic Hodge Theory of Vector Bundles, Communications in Analysis and Geometry (August, 2013) [DG/1111.0591], [0591]  [abs]
  62. 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]
  63. N. Addington, The Brauer group is not a derived invariant (June 27, 2013) [arXiv:1306.6538]
  64. Jackson AD, Huang D, Gauthier DJ, Venakides S., Destructive impact of imperfect beam collimation in extraordinary optical transmission., J. Opt. Soc. Am A, vol. 30 no. 6 (June, 2013), pp. 1281-1290 (doi: 10.1364/JOSAA.30.001281..)  [abs]
  65. J. Lu with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics, Commun. Math. Sci. (2013)
  66. N. Addington, P. Aspinwall, Categories of massless D-branes and del Pezzo surfaces, J. High Energy Phys., vol. 2013 no. 7 (May 24, 2013), pp. 40pp. [arXiv:1305.5767]
  67. Emily Lardner and Jack Bookman, Lessons Learned in Interdisciplinary Professional Development Designed to Promote the Teaching of Quantitative Literacy, Journal of Faculty Development, vol. 27 no. 2 (May, 2013)
  68. G. Herschlag, G.J.M. Garcia, B. Button, R. Tarran, B. Lindley, B. Reinhardt, T.C. Elston, M.G. Forest, A mechanochemical model for auto-regulation of lung airway surface layer volume, Journal of Theoretical Biology, vol. 325 (May 21, 2013), pp. 42-51 [S0022519313000489]  [abs]
  69. Richard Hain, Genus 3 Mapping Class Groups are not Kähler (May, 2013) [arXiv:1305.2052]
  70. Narayan, Aditee Pradhan; Whicker, Shari A; Staples, Betty; Bookman, Jack; Bartlett, Kathleen; McGann, Kathleen A, The Clinical Skills Fair - An Innovative Curriculum Evaluation Tool, Journal of Graduate Medical Education (April 19, 2013)
  71. 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]
  72. Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel, Homology and Robustness of Level and Interlevel Sets, edited by Gunnar Carlsson, Homology, Homotopy, and Applications, vol. 15 no. 1 (March, 2013), pp. 51-72  [abs]
  73. D. Lawlor, Y. Wang, and A. Christlieb, A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data (Spring, 2013) [arXiv:1304.4517]  [abs]
  74. D.P. Herzog and Nathan Totz, An extension of H\"{o}rmander's hypoellipticity theorem (February, 2014) [pdf]  [abs]
  75. D.P. Herzog, Marc Ryser, David Sivakoff, Kevin McGoff, Evan Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (February, 2014)
  76. M. Iwen, M. Maggioni, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, Inference & Information, vol. 2 (February, 2013) [doi]
  77. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (February, 2013) [arXiv:1210.0218]
  78. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (February, 2013) [arXiv:1212.0501v5]
  79. A. Coppola, B. Wenner, R. Stevens, O. Ilkayeva, M. Maggioni, T. Slotkin, E. Levin, C. Newgard, Branched-chain amino acids alter neurobehavioral function in rats, American Journal of Physiology - Endocrinology and Metabolism, vol. 304 no. 4 (February, 2013) [doi]
  80. H.L. Bray and A. R. Parry, Modeling Wave Dark Matter in Dwarf Elliptical Galaxies (January, 2013) [html]
  81. D. Lawlor, Y. Wang, and A. Christlieb, Adaptive sub-linear Fourier algorithms, Advances in Adaptive Data Analysis, vol. 5 no. 1 (January, 2013), World Scientific, ISSN 1793-5369 [arXiv:1207.6368]  [abs]
  82. Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example (2013) [arXiv:1403.3593]  [abs]
  83. Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer, Fréchet Means for Distributions of Persistence diagrams, arXiv:1206.2790 (2013) (http://arxiv.org/abs/1206.2790.)  [abs]
  84. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) (http://arxiv.org/abs/1307.6530.)  [abs]
  85. Thomas Hotz, Sean Skwerer, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, Ezra Miller, James Nolen, Megan Owen, Vic Patrangenaru, Sticky central limit theorems on open books (2013) [arXiv:1202.4267]  [abs]
  86. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) [arXiv:1307.6530]  [abs]
  87. S. Payne, B. Li, Y. Cao, D. Schaeffer, M.D. Ryser, L. You, Temporal control of self-organized pattern formation without morphogen gradients in bacteria, Molecular Systems Biology, vol. 9 no. 697 (2013)
  88. J. Foo, K. Leder, M.D. Ryser, Multifocality and recurrence risk: a quantitative model of field cancerization (2013)
  89. M.D. Ryser, K. McGoff, D. Herzog, D. Sivakoff, E. Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (2013)
  90. O. Bobrowski and S. Mukherjee, The Topology of Probability Distributions on Manifolds, arXiv: 1307.1123 (2013)
  91. R. J. Adler, O. Bobrowski and S. Weinberger, Crackle: The Persistent Homology of Noise, arXiv:1301.1466 (2013)
  92. N. Addington and P.S. Aspinwall, Categories of Massless D-Branes and del Pezzo Surfaces, JHEP, vol. 2013 no. 176 (2013)
  93. S. Gerber, M. Maggioni, Multiscale dictionaries, transforms, and learning in high-dimensions, Proc. SPIE 8858, Wavelets and Sparsity XV (2013) [doi]
  94. Kalyani Krishnamurthy, Alex Mrozack, Mauro Maggioni, and David Brady, Multiscale, dictionary-based speckle denoising, in Proc. Computational Optical Sensing and Imaging (2013), ISBN 978-1-55752-975-6 [doi]
  95. G. Chen, A.V. Little, M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis, vol. 1 (2013), Birkhaüser Boston, ISBN 978-0-8176-8375-7 [doi]
  96. L. Rios-Avila, H. F. Nijhout, M. C. Reed, H. S. Sitren, J. F. Gregory III, A mathematical model of tryptophan metabolism via the kynurenine pathway provides insights into the effects of vitamin B-6 deficiency, tryptophan loading and induction of tryptophan 2,3-dioxygenase on tryptophan metabolites, J. Nutrition, vol. 143 (2013), pp. 1509-1519
  97. M. Reed, H. F. Nijhout, J. Best, Computational studies of the role of serotonin in the basal ganglia, Frontiers in Integrative Neuroscience, vol. 7 (2013), pp. 1-8
  98. T. Duncan, M. Reed, H. F. Nijhout, A population model of folate-mediated one-carbon metabolism, Nutrients, vol. 5 (2013), pp. 2457-2474
  99. M. Reed, H. F. Nijhout, J. Best, Projecting biochemistry over long distances, Math. Models Natural Phenomena (2013)
  100. S. Lawley, J. Mattingly, M. Reed, Sensitivity to switching rates on stochastically switched ODEs (2013)
  101. Sean Skwerer, Elizabeth Bullitt, Stephan Huckemann, Ezra Miller, Ipek Oguz, Megan Owen, Vic Patrangenaru, Scott Provan, and J.S. Marron, Tree-oriented analysis of brain artery structure, Journal of Mathematical Imaging and Vision (2013) (25 pages.)  [abs]
  102. J. Cahill, P.G. Casazza, M. Ehler, S. Li, Tight and random nonorthogonal fusion frames (2013) [0532]  [abs]
  103. J. Cahill, D.G. Mixon, N. Strawn, Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames (2013) [4748]  [abs]
  104. C. Cartis and A. Thompson, An exact tree projection algorithm for wavelets, IEEE Signal Processing Letters, vol. 20 no. 11 (2013), pp. 1028-1031
  105. H. Johnston, C. Wang and J.-G. Liu, A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations, J. Sci. Comput. (2013)
  106. C.R. Cornwell, Knot contact homology and representations of knot groups (2013) [arXiv:1303.4943]  [abs]
  107. C.R. Cornwell, KCH representations, augmentations, and A-polynomials (2013) [arXiv:1310.7526]  [abs]
  108. Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer, Probabalistic Frechet Means and Statistics on Vineyards (2013) [6530]  [abs] [author's comments]
  109. J.R. Getz and P. E. Herman, A nonabelian trace formula (2013)  [abs]
  110. M. Lipnowski, Equivariant Torsion and Base Change (2013) [2540]
  111. M. Lipnowski, The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces (2013) [2543]
  112. C. Varghese and R. Durrett, Phase transition in the quadratic contact process on complex networks, Physical Review E, vol. 87 (2013), pp. paper 062819
  113. Feng Shi, Peter Mucha, and R. Durrett, Multi-opinion coevolving voter model with infinitely many phase transitions, Physical Review E (2013)
  114. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)
  115. R. Durrett, T. Liggett, Y. Zhang, The contact process with fast voting, Electronic Journal of Probability (2013)
  116. Andreas Aristotelos and R. Durrett, Chemical evolutionary games, Theoretical Population Biology (2013)
  117. J. Cahill, D. Mixon, N. Strawn, Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames (2013)
  118. S. Minsker, Estimation of Extreme Values and Associated Level Sets of a Regression Function via Selective Sampling, In Proceedings of the Conference on Learning Theory (COLT 2013) (2013), pp. 105-121 [html]  [abs]
  119. V. Koltchinskii, S. Minsker, L1-Penalization in Functional Linear Regression with Subgaussian Design, Submitted (2013) [8137]  [abs]
  120. S. Minsker, Geometric Median and Robust Estimation in Banach Spaces (2013) [1334]  [abs]
  121. X. Chen and J.-G. Liu, Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions, J Diff Eqs, vol. 254 (2013), pp. 2764-2802
  122. T. Goudon, S. Jin, J.-G. Liu and B. Yan, Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows, J. Comput. Phy., vol. 246 (2013), pp. 145-164
  123. X. Chen and J.-G. Liu, Analysis of polymeric flow models and related compactness theorems in weighted spaces, SIAM J Math Anal, vol. 45 (2013), pp. 1179-1215
  124. P. Degond, A. Frouvelle, J.-G. Liu, S Motsch, L Navoret, Macroscopic models of collective motion and self-organization, Seminaire Laurent Schwartz -- EDP et applicatios, vol. 2012 - 2013 (2013), pp. 1-27
  125. Y.L. Huang, J.-G. Liu and W.-C. Wang, A generalized MAC scheme on curvilinear domains, SIAM J. Sci. Comput., vol. 35 (2013), pp. B953-B986
  126. P. Degond, J.-G, Liu, S. Motsch, V. Panferov, Hydrodynamic models of self-organized dynamics: derivation and existence theory, Methods Anal. Appl., vol. 20 (2013), pp. 89-114
  127. S. Bian and J.-G. Liu, Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0, Comm Math Phy, vol. 323 (2013), pp. 1017-1070
  128. D. Chae, P. Degond, J.-G. Liu, Well-posedness for Hall-magnetohydrodynamics, Ann. I. H. Poincare, AN (2013)
  129. P. Degond, A. Frouvelle, J.-G. Liu, A note on phase transitions for the Smoluchowski equation with dipolar potential, in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application (2013)
  130. X. Chen, X. Liu and J.-G. Liu, Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles, Commun. Math. Sci. (2013)
  131. P. Degond, J.-G. Liu and C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria, J Nonlinear Sci. (2013)
  132. P. Degond, J.-G. Liu and C. Ringhofer, Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria, J. Stat. Phys. (2013)
  133. X. Chen, A. Jungel, J.-G. Liu, A note on Aubin-Lions-Dubinskii lemmas, Acta Applicanda Mathematicae (2013)
  134. Anta T. Layton, Mathematical modeling of urea transport in the kidney, in Urea Transporters, in press, edited by Baoxue Yang (2013), Springer
  135. R. Moss and S. R. Thomas, Hormonal regulation of salt and water excretion: a mathematical model of whole-kidney function and pressure-natriuresis, AJP Renal Physiol (2013) [2013], [doi]  [abs] [author's comments]
  136. James Damon, Ellen Gasparovic, Medial/Skeletal Linking Structures for Multi-Region Configurations (2013) [arXiv:1402.5517]
  137. C. Schoen, Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction, in Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds, Fields Institute Communications 67, edited by Laza, R. ; Schuett, M; and Yui, N. (2013), pp. 461-487, Springer, ISBN 978-1-4614-6402-0
  138. BC Fry, TK Roy, TW Secomb, Capillary recruitment in a theoretical model for blood flow regulation in heterogeneous microvessel networks, Physiological Reports, vol. 1 no. 3 (2013), pp. e00050
  139. M. Patel, B. Joshi, Decoding synchronized oscillations within the brain: Phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter, Journal of Theoretical Biology, vol. 334C (2013), pp. 13-25 [23747525]  [abs]
  140. M. Patel, B. Joshi, Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons, Journal of Computational Neuroscience [ePub ahead of print] (2013) [23820857]  [abs]
  141. T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold (2013) [arXiv:1307.8436]
  142. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, and Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes (2013)
  143. 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)
  144. 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)
  145. 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)
  146. Anita T. Layton and Lise Bankir, Impacts of active urea secretion into pars recta on urine concentrating mechanism, Physiol Report, vol. 1 no. 3 (2013), pp. e00034
  147. Hwayeon Ryu and Anita T. Layton, Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb, Med Math Biol, vol. 30 no. 191-212 (2013)
  148. William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clin J Am Soc Nephrol (2013), pp. doi:10.2215/CJN.08750812
  149. Yi Li, Sarah A. Williams, and Anita T. Layton, A hybrid immersed interface method for driven stokes flow in an elastic tube, Numer. Math. Theor. Meth. Appl., vol. 6 no. 4 (2013), pp. 600-616
  150. Ioannis Sgouralis and Anita T. Layton, Contol and modulation of fluid flow in the rat kidney, Bull Math Biol, in press (2013)
  151. 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)
  152. S. Tlupova and J. T. Beale, Nearly singular integrals in 3D Stokes flow, Commun. Comput. Phys., vol. 14 (2013), pp. 1207-27 [pdf]
  153. W. Ying and J. T. Beale, A fast accurate boundary integral method for potentials on closely packed cells, Commun. Comput. Phys., vol. 14 (2013), pp. 1073-93 [pdf]
  154. H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume, "Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations", vol. 599 (2013), American Mathematical Society [html]
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