Mathematics Faculty: Publications since January 2013


Addington, Nicolas

  1. N. Addington, The Brauer group is not a derived invariant (June 27, 2013) [arXiv:1306.6538]
  2. 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]

Aristotelous, Andreas

  1. 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)
  2. 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)
  3. Andreas C. Aristotelous and Richard Durrett, Chemical Evolutionary Games, Theoretical Population Biology (February, 2014)
  4. 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)
  5. 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

Aspinwall, Paul S

  1. N. Addington and P.S. Aspinwall, Categories of Massless D-Branes and del Pezzo Surfaces, JHEP, vol. 2013 no. 176 (2013)
  2. P.S. Aspinwall, Some Applications of Commutative Algebra to String Theory, in Commutative Algebra, Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (2013)  [abs]

Bar-On, Rann

  1. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus (Accepted)  [abs]

Beale, J. Thomas

  1. S. Tlupova and J. T. Beale, Nearly singular integrals in 3D Stokes flow, Commun. Comput. Phys., vol. 14 (2013), pp. 1207-27 [pdf]
  2. W. Ying and J. T. Beale, A fast accurate boundary integral method for potentials on closely packed cells, Commun. Comput. Phys., vol. 14 (2013), pp. 1073-93 [pdf]

Bendich, Paul L.

  1. Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel, Homology and Robustness of Level and Interlevel Sets, edited by Gunnar Carlsson, Homology, Homotopy, and Applications, vol. 15 no. 1 (March, 2013), pp. 51-72  [abs]
  2. Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer, Probabalistic Frechet Means and Statistics on Vineyards (2013) [6530]  [abs] [author's comments]

Bertozzi, Andrea L

  1. 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

Blake, Lewis D

  1. Lewis Blake and Michael Reed, Laboratory Calculus (2013-2014) (August, 2013)

Bobrowski, Omer

  1. O. Bobrowski and S. Mukherjee, The Topology of Probability Distributions on Manifolds, arXiv: 1307.1123 (2013)
  2. R. J. Adler, O. Bobrowski and S. Weinberger, Crackle: The Persistent Homology of Noise, arXiv:1301.1466 (2013)

Bookman, Jack

  1. Emily Lardner and Jack Bookman, Lessons Learned in Interdisciplinary Professional Development Designed to Promote the Teaching of Quantitative Literacy, Journal of Faculty Development, vol. 27 no. 2 (May, 2013)
  2. Narayan, Aditee Pradhan; Whicker, Shari A; Staples, Betty; Bookman, Jack; Bartlett, Kathleen; McGann, Kathleen A, The Clinical Skills Fair - An Innovative Curriculum Evaluation Tool, Journal of Graduate Medical Education (April 19, 2013)
  3. Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, and Sarah Schott, (Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes (2013)

Bray, Hubert L.

  1. H.L. Bray and J. L. Jauregui, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass, Communications in Mathematical Physics (April, 2014) [arXiv:1310.8638 [math.DG]], [8638]
  2. H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II (February, 2014) [arXiv:1402.3287 [math.DG]], [3287]  [abs]
  3. H.L. Bray and J. L. Jauregui, On Curves with Nonnegative Torsion (December, 2013) [arXiv:1312.5171 [math.DG]], [5171]
  4. H.L. Bray and J.L. Jauregui, A Geometric Theory of Zero Area Singularities in General Relativity, Asian Journal of Mathematics, vol. 17 no. 3 (September, 2013), pp. 525-560 [arXiv:0909.0522v1]
  5. H.L. Bray and A. R. Parry, Modeling Wave Dark Matter in Dwarf Elliptical Galaxies (January, 2013) [html]
  6. H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume, "Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations", vol. 599 (2013), American Mathematical Society [html]

Cahill, Jason

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

Cornwell, Christopher R

  1. C.R. Cornwell, Knot contact homology and representations of knot groups (2013) [arXiv:1303.4943]  [abs]
  2. C.R. Cornwell, KCH representations, augmentations, and A-polynomials (2013) [arXiv:1310.7526]  [abs]

Daubechies, Ingrid

  1. B. Cornelis, T.Ruzic, E.Gezels, A.Dooms, A.Pizurica, L.Platisa, J.Cornelis, M. Martens, M.DeMey, I.Daubechies, Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece, Signal Processing, vol. 93 (2013), pp. 605-619, Elsevier [S0165168412002526]  [abs]

Di Cerbo, Luca F.

  1. G. Di Cerbo, L.F. Di Cerbo, A sharp cusp count for complex hyperbolic surfaces and related results (December, 2013) [arXiv:1312.5368]
  2. 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]
  3. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (February, 2013) [arXiv:1210.0218]
  4. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (February, 2013) [arXiv:1212.0501v5]
  5. L.F. Di Cerbo, Seiberg-Witten equations on surfaces of logarithmic general type, Internat. J. Math., vol. 24 no. 9 (2013), pp. 23 [arXiv:1112.0694]

Durrett, Rick

  1. C. Varghese and R. Durrett, Phase transition in the quadratic contact process on complex networks, Physical Review E, vol. 87 (2013), pp. paper 062819
  2. Feng Shi, Peter Mucha, and R. Durrett, Multi-opinion coevolving voter model with infinitely many phase transitions, Physical Review E (2013)
  3. S. Magura, V. Pong, D. Sivakoff, and R. Durrett, Two evolving social network models (2013)
  4. R. Durrett, T. Liggett, Y. Zhang, The contact process with fast voting, Electronic Journal of Probability (2013)
  5. Andreas Aristotelos and R. Durrett, Chemical evolutionary games, Theoretical Population Biology (2013)
  6. R. Durrett and S. Chatterjee, A first order phase transition in the threshold theta contact process on random r-regular graphs and trees, Stoch. Proc. Appl., vol. 123 (2013), pp. 561-578
  7. K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer, J. Theor. Biol., vol. 314 (2013), pp. 10-15
  8. J.T. Cox, R. Durrett, E. Perkins, Voter model perturbations and reaction diffusion equations, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676]
  9. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case, Annals Applied Probability (2013)

Fry, Brendan

  1. 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

Gasparovic, Ellen

  1. 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)
  2. James Damon, Ellen Gasparovic, Medial/Skeletal Linking Structures for Multi-Region Configurations (2013) [arXiv:1402.5517]

Getz, Jayce R.

  1. J.R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176  [abs]
  2. J.R. Getz and H. Hahn, A general simple relative trace formula and a relative Weyl law (2014)
  3. J.R. Getz and P. E. Herman, A nonabelian trace formula (2013)  [abs]
  4. J.R. Getz and E. Wambach, Twisted relative trace formulae with a view towards unitary groups, Amer. J. Math., vol. 135 (2013), pp. 1-57 [pdf]  [abs]
  5. J.R. Getz and J. Klassen, Isolating Rankin-Selberg lifts, Proc. Amer. Math. Soc. (2013)

Hahn, Heekyoung

  1. J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176
  2. J. R. Getz and H. Hahn, A general simple relative trace formula and a relative Weyl law (2014)
  3. S. Akhtari, C. David, H. Hahn and L. Thompson, Distribution of square-free values of sequences associated with elliptic curves, Women in Numbers 2, Contemp. Math., vol. 606 (2013), pp. 171-188, Amer. Math. Soc., Providence, RI

Hain, Richard M

  1. Richard Hain, The Hodge-de Rham theory of modular groups (March, 2014) [arXiv:1403.6443]
  2. 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]
  3. Richard Hain, Notes on the Universal Elliptic KZB Equation (September, 2013) [arXiv:1309.0580]
  4. Richard Hain, Genus 3 Mapping Class Groups are not Kähler (May, 2013) [arXiv:1305.2052]
  5. Richard Hain, Normal Functions and the Geometry of Moduli Spaces of Curves, in Handbook of Moduli, edited by Gavril Farkas, Ian Morrison, vol. I (March, 2013), pp. 527-578, International Press [arXiv:1102.4031]
  6. Benson Farb, Richard Hain, Eduard Looijenga, Moduli Spaces of Riemann Surfaces, IAS/Park City Mathematics Series (2013), American Mathematical Society, ISBN ISBN-13: 978-0-8218-9887-1 [AMS]
  7. Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom., vol. 22 (2013), pp. 581-598 [arXiv:1009.3662]

Harer, John

  1. Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer, Fréchet Means for Distributions of Persistence diagrams, arXiv:1206.2790 (2013) (http://arxiv.org/abs/1206.2790.)  [abs]
  2. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) (http://arxiv.org/abs/1307.6530.)  [abs]
  3. Jose Perea and J. Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, arXiv:1307.6188 (2013) (http://arxiv.org/abs/1307.6188.)  [abs]
  4. Christopher N Topp, Anjali S Iyer-Pascuzzi, Jill T Anderson, Cheng-Ruei Lee, Paul R Zurek, Olga Symonova, Ying Zheng, Alexander Bucksch, Yuriy Milyeko, Taras Galkovskyi, Brad Moore, John Harer, Herbert Edelsbrunner, Thomas Mitchell Olds, Joshua S Weitz, Philip N Benfey, 3-dimensional phenotyping of growing root systems combined with QTL mapping identifies core regions of the rice genome controlling root architecture, PNAS (2013) (http://www.pnas.org/content/early/2013/04/10/1304354110.abstract.)  [abs]
  5. Anastasia Deckard, Ron C. Anafi, John B. Hogenesch, Steven B. Haase, John Harer, Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data, PLOS Computational Biology (2013)  [abs]
  6. J. Perea, A. Deckard, S. Haase and J. Harer, Applications of SWiPerS to the discovery of periodic genes (2013)
  7. Sara Bristow, Laura A. Simmons Kovacs, Anastasia Deckard, John Harer, Steven B. Haase, Checkpoint Pathways Couple the CDK-Independent Transcriptional Oscillations to Cell Cycle Progression (2013)  [abs]

Herschlag, Gregory

  1. G. Herschlag, G.J.M. Garcia, B. Button, R. Tarran, B. Lindley, B. Reinhardt, T.C. Elston, M.G. Forest, A mechanochemical model for auto-regulation of lung airway surface layer volume, Journal of Theoretical Biology, vol. 325 (May 21, 2013), pp. 42-51 [S0022519313000489]  [abs]

Herzog, David P

  1. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows I (April, 2014) [pdf]
  2. D.P. Herzog and J.C. Mattingly, Noise-Induced Stabilization of Planar Flows II (April, 2014) [pdf]
  3. D.P. Herzog and Nathan Totz, An extension of H\"{o}rmander's hypoellipticity theorem (February, 2014) [pdf]  [abs]
  4. D.P. Herzog, Marc Ryser, David Sivakoff, Kevin McGoff, Evan Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (February, 2014)

Lawlor, David

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

Layton, Anita T

  1. 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)
  2. Ioannis Sgouralis and Anita T. Layton, Theoretical assessment of renal autoregulatory mechanisms, Am J Physiol Renal Physiol, in press (2014)
  3. Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube, Numer. Math. Theor. Meth. Appl., in press (2014)
  4. Robert Moss and Anita T. Layton, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model, Am J Physiol Renal Physiol, in press (2014)
  5. 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)
  6. 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)
  7. 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)
  8. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  9. 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)
  10. Anta T. Layton, Mathematical modeling of urea transport in the kidney, in Urea Transporters, in press, edited by Baoxue Yang (2013), Springer
  11. 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)
  12. 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)
  13. 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)
  14. 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
  15. 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)
  16. 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
  17. 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
  18. Ioannis Sgouralis and Anita T. Layton, Contol and modulation of fluid flow in the rat kidney, Bull Math Biol, in press (2013)
  19. 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)
  20. Sarah D. Olson and Anita T. Layton, Simulating Fluid-Structure Interactions --- A Review, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  21. 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
  22. Anita T. Layton, Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  23. Hwayeon Ryu and Anita T. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013)
  24. Anita T. Layton, Mathematical modeling of kidney transport, WIRESs Syst Biol Med, vol. 5 (2013), pp. 557-573

Liao, Wenjing

  1. W. Liao and A. Fannjiang, MUSIC for single-snapshot spectral estimation: stability and super-resolution (2014)
  2. A. Fannjiang and W. Liao, Fourier phasing with phase-uncertain mask, Inverse problems, vol. 29 no. 12 (2013)

Lipnowski, Michael

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

Liu, Jian-Guo

  1. S. Bian, J.-G. Liu, and C. Zou, Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d, Kinetic and Related Models, vol. 7 (2014), pp. 9-28
  2. Y. Duan and J.-G. Liu, Convergence analysis of the vortex blob method for the b-equation, Discrete Contin. Dyn. Syst. Ser. A, vol. 34 (2014), pp. 1995-2011
  3. H. Johnston, C. Wang and J.-G. Liu, A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations, J. Sci. Comput. (2013)
  4. X. Chen and J.-G. Liu, Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions, J Diff Eqs, vol. 254 (2013), pp. 2764-2802
  5. T. Goudon, S. Jin, J.-G. Liu and B. Yan, Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows, J. Comput. Phy., vol. 246 (2013), pp. 145-164
  6. X. Chen and J.-G. Liu, Analysis of polymeric flow models and related compactness theorems in weighted spaces, SIAM J Math Anal, vol. 45 (2013), pp. 1179-1215
  7. P. Degond, A. Frouvelle, J.-G. Liu, S Motsch, L Navoret, Macroscopic models of collective motion and self-organization, Seminaire Laurent Schwartz -- EDP et applicatios, vol. 2012 - 2013 (2013), pp. 1-27
  8. Y.L. Huang, J.-G. Liu and W.-C. Wang, A generalized MAC scheme on curvilinear domains, SIAM J. Sci. Comput., vol. 35 (2013), pp. B953-B986
  9. P. Degond, J.-G, Liu, S. Motsch, V. Panferov, Hydrodynamic models of self-organized dynamics: derivation and existence theory, Methods Anal. Appl., vol. 20 (2013), pp. 89-114
  10. S. Bian and J.-G. Liu, Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0, Comm Math Phy, vol. 323 (2013), pp. 1017-1070
  11. D. Chae, P. Degond, J.-G. Liu, Well-posedness for Hall-magnetohydrodynamics, Ann. I. H. Poincare, AN (2013)
  12. P. Degond, A. Frouvelle, J.-G. Liu, A note on phase transitions for the Smoluchowski equation with dipolar potential, in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application (2013)
  13. X. Chen, X. Liu and J.-G. Liu, Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles, Commun. Math. Sci. (2013)
  14. P. Degond, J.-G. Liu and C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria, J Nonlinear Sci. (2013)
  15. P. Degond, J.-G. Liu and C. Ringhofer, Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria, J. Stat. Phys. (2013)
  16. X. Chen, A. Jungel, J.-G. Liu, A note on Aubin-Lions-Dubinskii lemmas, Acta Applicanda Mathematicae (2013)
  17. P. Degond, A. Frouvell, J.-G. Liu, Macroscopic limits and phase transition in a system of self-propelled particles, J Nonlinear Sci., vol. 23 (2013), pp. 427-456
  18. S. Jin, J.-G. Liu and L. Wang, A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations, Math. Comp., vol. 82 (2013), pp. 749-779

Lu, Jianfeng

  1. 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.)
  2. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2014)
  3. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Comm. Math. Phys. (2014)
  4. with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields (2014)
  5. with Qin Li, Weiran Sun, A convergent method for linear half-space kinetic equation (2014)
  6. with Bin Hu, Dynamic production capacity management with price skimming (2014)
  7. with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization (2014)
  8. with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezing transforms (2014)
  9. with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation (2014)
  10. with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media (2014)
  11. with Vitaly Moroz, Cyrill B. Muratov, Orbital-free density functional theory of out-of-plane charge screening in graphene (2014)
  12. with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics (2013)
  13. with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal., vol. 20 no. 4 (2013), pp. 383--404 (Special issue dedicated to Stan Osher's 70th birthday.)
  14. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation, in SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682
  15. 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
  16. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013)
  17. 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
  18. with Weinan E, Xu Yang, Asymptotic analysis of the quantum dynamics: Bloch-Wigner transform and Bloch dynamics, Acta Math. Appl. Sin. Engl. Ser., vol. 29 (2013), pp. 465--476

Maggioni, Mauro

  1. M. Maggioni, Geometric Estimation of Probability Measures in High-Dimensions, Proc. IEEE Asilomar Conference (November, 2013)
  2. M. Iwen, M. Maggioni, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, Inference & Information, vol. 2 (February, 2013) [doi]
  3. A. Coppola, B. Wenner, R. Stevens, O. Ilkayeva, M. Maggioni, T. Slotkin, E. Levin, C. Newgard, Branched-chain amino acids alter neurobehavioral function in rats, American Journal of Physiology - Endocrinology and Metabolism, vol. 304 no. 4 (February, 2013) [doi]
  4. S. Gerber, M. Maggioni, Multiscale dictionaries, transforms, and learning in high-dimensions, Proc. SPIE 8858, Wavelets and Sparsity XV (2013) [doi]
  5. Kalyani Krishnamurthy, Alex Mrozack, Mauro Maggioni, and David Brady, Multiscale, dictionary-based speckle denoising, in Proc. Computational Optical Sensing and Imaging (2013), ISBN 978-1-55752-975-6 [doi]
  6. G. Chen, A.V. Little, M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis, vol. 1 (2013), Birkhaüser Boston, ISBN 978-0-8176-8375-7 [doi]
  7. 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)
  8. 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
  9. 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..)
  10. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)

Mattingly, Jonathan C.

  1. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014) [arXiv:1404.0955]
  2. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014) [arXiv:1404.0957]
  3. with Sean D. Lawley and Michael C. Reed, Sensitivity to switching rates in stochastically switched ODEs (2014) [arXiv:1310.2525]  [abs]
  4. Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example (2013) [arXiv:1403.3593]  [abs]
  5. 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]
  6. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) [arXiv:1307.6530]  [abs]

Miller, Ezra

  1. Sean Skwerer, Elizabeth Bullitt, Stephan Huckemann, Ezra Miller, Ipek Oguz, Megan Owen, Vic Patrangenaru, Scott Provan, and J.S. Marron, Tree-oriented analysis of brain artery structure, Journal of Mathematical Imaging and Vision (2013) (25 pages.)  [abs]
  2. Affine stratifications from finite misère quotients, Journal of Algebraic Combinatorics, vol. 37 (2013), pp. 1-9 [math.CO/1009.2199], [DOI:10.1007/s10801-012-0355-3]  [abs]
  3. with Alan Guo, Algorithms for lattice games, International Journal of Game Theory, vol. 42 no. 4 (2013), pp. 777-788 [math.CO/1105.5413], [DOI:10.1007/s00182-012-0319-9]  [abs]
  4. with Thomas Hotz, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, James Nolen, Megan Owen, Vic Patrangenaru, and Sean Skwerer, Sticky central limit theorems on open books, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [math.PR/1202.4267], [DOI:10.1214/12-AAP899]  [abs]
  5. with Manoj Gopalkrishnan and Anne Shiu, A projection argument for differential inclusions, with applications to persistence of mass-action kinetics, SIGMA (Symmetry, Integrability, and Geometry: Methods and Applications), vol. 9 (2013) (paper 025, 25 pages.) [math.DS/1208.0874], [DOI:10.3842/SIGMA.2013.025]  [abs]
  6. with Manoj Gopalkrishnan and Anne Shiu, A geometric approach to the Global Attractor Conjecture, SIADS (SIAM Journal on Applied Dynamical Systems) (2013) (49 pages.) [math.DS/1305.5303]  [abs]

Minsker, Stanislav

  1. S. Minsker, Estimation of Extreme Values and Associated Level Sets of a Regression Function via Selective Sampling, In Proceedings of the Conference on Learning Theory (COLT 2013) (2013), pp. 105-121 [html]  [abs]
  2. V. Koltchinskii, S. Minsker, L1-Penalization in Functional Linear Regression with Subgaussian Design, Submitted (2013) [8137]  [abs]
  3. S. Minsker, Geometric Median and Robust Estimation in Banach Spaces (2013) [1334]  [abs]

Moss, Robert

  1. R. Moss and S. R. Thomas, Hormonal regulation of salt and water excretion: a mathematical model of whole-kidney function and pressure-natriuresis, AJP Renal Physiol (2013) [2013], [doi]  [abs] [author's comments]

Ng, Lenhard L

  1. L. Ng, A topological introduction to knot contact homology, in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz (2014), ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi]
  2. T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold (2013) [arXiv:1307.8436]
  3. L. Ng and D. Rutherford, Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra, Algebraic & Geometric Topology, vol. 13 no. 5 (2013), pp. 3047–3097 [arXiv:1206.2259], [doi]
  4. W. Chongchitmate and L. Ng, An atlas of Legendrian knots, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [arXiv:1010.3997], [doi]
  5. J. Etnyre, L. Ng, and V. Vertesi, Legendrian and transverse twist knots, Journal of the European Mathematical Society, vol. 15 no. 3 (2013), pp. 451-512 [arXiv:1002.2400], [doi]
  6. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Filtrations on the knot contact homology of transverse knots, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1691 [arXiv:1010.0450], [doi]
  7. T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Knot contact homology, Geometry & Topology, vol. 17 (2013), pp. 975-1112 [arXiv:1109.1542], [doi]
  8. M. Aganagic, T. Ekholm, L. Ng, and C. Vafa, Topological strings, D-model, and knot contact homology (2013) [arXiv:1304.5778]
  9. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology, Quantum Topology (2013/03/26) [arXiv:1303.6371]

Nolen, James

  1. J. Nolen, Normal approximation for a random elliptic equation, Probability Theory and Related Fields (2013) [pdf], [doi]
  2. 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]
  3. T. Hotz, S. Huckemann, H. Le, J. Marron, J. Mattingly, E. Miller, J. Nolen, M. Owen, V. Patrangenaru, S. Skwere, Sticky central limit theorem on open books, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [4267], [doi]
  4. J. Nolen, J.-M. Roqujoffre, L. Ryzhik, Power-like delay in time inhomogeneous Fisher-KPP equations (2013) [pdf]
  5. S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs (2013) [6551]
  6. J. Lu and J. Nolen, Reactive trajectories and the transition path process., Probability Theory and Related Fields , accepted 2013 [1744]

Patel, Mainak   (search)

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

Perea, Jose A.

  1. 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]
  2. 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]

Petters, Arlie O

  1. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (July, 2015), Springer, in preparation
  2. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (July, 2014), Springer, in preparation

Reed, Michael C

  1. L. Rios-Avila, H. F. Nijhout, M. C. Reed, H. S. Sitren, J. F. Gregory III, A mathematical model of tryptophan metabolism via the kynurenine pathway provides insights into the effects of vitamin B-6 deficiency, tryptophan loading and induction of tryptophan 2,3-dioxygenase on tryptophan metabolites, J. Nutrition, vol. 143 (2013), pp. 1509-1519
  2. M. Reed, H. F. Nijhout, J. Best, Computational studies of the role of serotonin in the basal ganglia, Frontiers in Integrative Neuroscience, vol. 7 (2013), pp. 1-8
  3. T. Duncan, M. Reed, H. F. Nijhout, A population model of folate-mediated one-carbon metabolism, Nutrients, vol. 5 (2013), pp. 2457-2474
  4. M. Reed, H. F. Nijhout, J. Best, Projecting biochemistry over long distances, Math. Models Natural Phenomena (2013)
  5. S. Lawley, J. Mattingly, M. Reed, Sensitivity to switching rates on stochastically switched ODEs (2013)
  6. T. Duncan, M. Reed, H. F. Nijhout, The relationship between intracellular and plasma levels of folate and metabolites in the methionine cycle: A model, Mol. Food Nutr. Res., vol. DOI 10.1002/mnfr.201200125 (2013), pp. 628-636
  7. R. Ben-Shachar, Y, Chen, S. Luo, C. Hartman, M. Reed, H. F. Nijhout, The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model, Theoretical Biology and Medical Modeling, vol. 9 (2013), pp. 1-22
  8. M. Patel, M. Reed, Stimulus Encoding Within the Barn Owl Optic Tectum Using Gamma Oscillations versus Spike Rate: A Modeling Approach., Network, vol. 24 (2013), pp. 52-74

Ryser, Marc D

  1. S. Payne, B. Li, Y. Cao, D. Schaeffer, M.D. Ryser, L. You, Temporal control of self-organized pattern formation without morphogen gradients in bacteria, Molecular Systems Biology, vol. 9 no. 697 (2013)
  2. J. Foo, K. Leder, M.D. Ryser, Multifocality and recurrence risk: a quantitative model of field cancerization (2013)
  3. M.D. Ryser, K. McGoff, D. Herzog, D. Sivakoff, E. Myers, Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies (2013)
  4. M.D. Ryser, S.V. Komarova, Mathematical modeling of cancer metastases, in Computational Bioengineering , CRC/Taylor & Francis (Invited book chapter.)

Schoen, Chad

  1. 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
  2. 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
  3. C. Schoen, Torsion in the Cohomology of Desingularized Fiber Products of Elliptic Surfaces, Michigan Math. J., vol. 62 (2013), pp. 81-115

Schott, Sarah

  1. Mark Huber, and Sarah Schott, Random Construction of Interpolating Sets for High Dimensional Integration, Journal of Applied Probability (2013)

Stern, Mark A

  1. Anda Degeratu and M.A. Stern, Witten spinors on nonspin manifolds, Communications of Mathematical Physics 2013 (October, 2013) [DG/1112.0194], [0194]  [abs]
  2. B. Charbonneau and M. Stern, Asymptotic Hodge Theory of Vector Bundles, Communications in Analysis and Geometry (August, 2013) [DG/1111.0591], [0591]  [abs]

Strawn, Nathaniel K

  1. J. Cahill, D. Mixon, N. Strawn, Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames (2013)
  2. A. Armagan, D. Dunson, J. Lee, W. Bajwa, N. Strawn, Posterior consistency in linear models under shrinkage priors, Biometrika (2013)

Thompson, Andrew

  1. C. Cartis and A. Thompson, An exact tree projection algorithm for wavelets, IEEE Signal Processing Letters, vol. 20 no. 11 (2013), pp. 1028-1031

Trangenstein, John

  1. 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]

Venakides, Stephanos

  1. Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, Stephanos Venakides, Efficient Evaluation of Doubly Periodic Green Functions in 3D Scattering, Including Wood Anomaly Frequencies, ArXiv>Mathematics > Analysis of PDEs (July 4, 2013) [arXiv:1307.1176]  [abs]
  2. Jackson AD, Huang D, Gauthier DJ, Venakides S., Destructive impact of imperfect beam collimation in extraordinary optical transmission., J. Opt. Soc. Am A, vol. 30 no. 6 (June, 2013), pp. 1281-1290 (doi: 10.1364/JOSAA.30.001281..)  [abs]
  3. S. Belov and S. Venakides, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, APDE (Analysis and PDE) (2013)  [abs]

Wang, Yi (Grace)

  1. Y. Wang, K mappings and regression trees (October, 2013)

Witelski, Thomas P.

  1. T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi]
  2. 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]
  3. L.B.Smolka and T.P. Witelski, Biaxial extensional motion of an inertially driven radially-expanding liquid sheet, Physics of Fluids, vol. 25 no. 062105 (2013) [doi]