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## Mathematics Faculty: Publications since January 2012

List all publications in the database.    :recent first  combined  bibtex listing:
1. N. Addington, E. Segal, E. Sharpe, D-brane probes, branched double covers, and noncommutative resolutions (November 11, 2012) [1211.2446]
2. N. Addington, R. P. Thomas, Hodge theory and derived categories of cubic fourfolds (November 15, 2012) [1211.3758]
3. 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]
4. N. Addington, The Brauer group is not a derived invariant (June 27, 2013) [arXiv:1306.6538]
1. Andreas C. Aristotelous and Richard Durrett, Chemical Mediated Competition., Theoretical Population Biology (September, 2013)
2. 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. (October, 2013)
3. 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 (October, 2013)
4. 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 (November, 2013)
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
1. P.S. Aspinwall and D.R. Morrison, Quivers from Matrix Factorizations, Commun Math Phys, vol. 313 (2012), pp. 607-633 [arXiv:1005.1042]  [abs]
2. P.S. Aspinwall and M.R. Plesser, Elusive Worldsheet Instantons in Heterotic String Compactifications, in Proceedings of Symposia in Pure Mathematics, vol. 85 (2012), pp. 33-52 [1106.2998]
3. Paul S. Aspinwall, Ilarion V. Melnikov, M. Ronen Plesser, (0,2) Elephants, Journal of High Energy Physics, vol. 1201 (2012), pp. 060 [arXiv:1008.2156]
4. 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]
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 (In preparation)  [abs]
2. R. Bar-On, 105L-106L Coursepack, Fall 2012 and Spring 2013 (August, 2012)
1. 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]
2. J. T. Beale, Partially implicit motion of a sharp interface in Navier-Stokes flow, J. Comput. Phys., vol. 231 (2012), pp. 6159-72 [pdf]
3. S. Tlupova and J. T. Beale, Nearly singular integrals in 3D Stokes flow, Commun. Comput. Phys., vol. 14 (2013), pp. 1207-27 [pdf]
4. 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]
1. with Bei Wang and Sayan Mukherjee, Local Homology Transfer and Stratification Learning, Proc. of 24th Sympos. on Discrete Algorithms (2012)
2. with Jacob Harer and John Harer, A Persistent Homology Based Geodesic Distance Estimator (2012)
1. 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]
2. C. Berkesch, D. Erman, M. Kummini, Three flavors of extremal Betti tables (2012) [5707]
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
1. Lewis Blake and Michael Reed,, Laboratory Calculus (2012-2013) (August, 2012)
1. 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
1. 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)
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. 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)
1. J. Bouvrie and B. Hamzi, Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure, in Proc. American Control Conference (ACC) (2012)
2. M. Raginsky and J. Bouvrie, Continuous-Time Stochastic Mirror Descent on a Network: Variance Reduction, Consensus, Convergence, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
3. J. Bouvrie and M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012)
4. J. Bouvrie and J.-J.E. Slotine, Synchronization can Control Regularization in Neural Systems via Correlated Noise Processes, in Proc. Advances in Neural Information Processing Systems (NIPS) 25 (2012)
5. J. Bouvrie and M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, in Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
1. H.L. Bray and J.L. Jauregui, A Geometric Theory of Zero Area Singularities in General Relativity, Asian Journal of Mathematics (2012) [arXiv:0909.0522v1]
2. H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume (2012) [html]
3. H.L. Bray, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December 22, 2012) [html]
4. H.L. Bray and A. R. Parry, Modeling Wave Dark Matter in Dwarf Elliptical Galaxies (January, 2013) [html]
1. 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]
2. Carla Cederbaum, The Geometry of Static Spacetimes: Geometrostatics (July, 2012) (Oberwolfach reports.) [www_view]
1. 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]
2. G. Chen, A.V. Little, and M. Maggioni, Multi-Resolution Geometric Analysis for Data in High Dimensions, in Excursions in Harmonic Analysis (September, 2012), Springer
3. 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
1. 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]
1. 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]
2. G. Polatkan, M. Zhou, L. Carin, D. Blei, and I. Daubechies, A Bayesian nonparametric approach to image super-resolution (2012) [5019]  [abs]
3. 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]
1. L.F. Di Cerbo, Finite-volume complex surfaces without cuspidal Einstein metrics, Ann. Glob. Anal. Geom., vol. 41 no. 3 (2012), pp. 371-380 [available here]
2. L.F. Di Cerbo, Finite-volume complex-hyperbolic surfaces, their toroidal compactifications, and geometric applications, Pacific J. Math., vol. 255 no. 2 (2012), pp. 305-315 [arXiv:1101.4263]
3. L.F. Di Cerbo, On K\"ahler-Einstein surfaces with edge singularities (May, 2012) [arXiv:1205.3203]
4. L.F. Di Cerbo, Generic Properties of Homogeneous Ricci Solitons, Adv. Geom. (July, 2012) [arXiv:0711.0465]
5. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (February, 2013) [arXiv:1212.0501]
6. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (February, 2013) [arXiv:1210.0218]
7. L.F. Di Cerbo, Seiberg-Witten equations on surfaces of logarithmic general type, Internat. J. Math. (July, 2013) [arXiv:1112.0694], [09]
8. 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]
1. 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
2. R. Durrett and D. Remenik, Evolution of dispersal distance, J. Mathematical Biology, vol. 64 (2012), pp. 657-666
3. R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case (2012)
4. 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. (2012)
5. K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer, J. Theor. Biol. (2012)
6. R. Durrett, Phase transition in a meta-population version of Schelling's model (2012)
7. R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression (2012)
1. BC Fry, J Lee, NP Smith, TW Secomb, Estimation of blood flow rates in large microvascular networks, Microcirculation, vol. 19 no. 6 (2012), pp. 530-538
2. 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
1. E. Gasparovic, The Blum Medial Linking Structure for Multi-Region Analysis (2012) (Ph.D. thesis.) [pdf]
2. J.N. Damon, E. Gasparovic, Medial/Skeletal Linking Structures for Multiple-Region Configurations (2013) [viewer]
1. S. Gerber, O. Ruebel, P.-T. Bremer, V. Pascucci, R. Whitaker, Morse-Smale Regression, Journal of Computational and Graphical Statistics (Spring, 2012)
2. K. Potter, S. Gerber, E. Anderson, Uncertainty Visualization without a Mean, Visualization Viewpoints (Summer, 2012)
3. S. Gerber, K. Potter, Data Analysis with the Morse-Smale Complex: The msr Package for R, Journal of Statistical Software (July, 2012)
4. S. Gerber, R. Whitaker, Regularization Free Princpal Curve Estimation, JMLR (Winter, 2012)
1. 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
2. J.R. Getz, An approach to nonsolvable base change and descent, J. Ramanujan Math. Soc., vol. 27 no. 2 (2012), pp. 143-211 [pdf]  [abs]
3. J.R. Getz and J. Klassen, Isolating Rankin-Selberg lifts, Proc. Amer. Math. Soc. (2013)
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 H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory (2013)  [abs]
1. S. Akhtari, C. David, H. Hahn and L. Thompson, Distribution of square-free values of sequences associated with elliptic curves, Contemp. Math. (2013)
2. J. R. Getz and H. Hahn, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory (2013)
1. Alexandru Dimca, Richard Hain, Stefan Papadima, The abelianization of the Johnson kernel, Journal of the European Mathematical Society (June, 2012) [arXiv:1101.1392]
2. 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]
3. 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]
4. Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom., vol. 22 (2013), pp. 581-598 [arXiv:1009.3662]
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. Richard Hain, Genus 3 Mapping Class Groups are not Kähler (May, 2013) [arXiv:1305.2052]
7. Richard Hain, Notes on the Universal Elliptic KZB Equation (September, 2013) [arXiv:1309.0580]
1. with Michael Jenista, Realizing Boolean Dynamics in Switching Networks, Siam Journal of Applied Dynamical Systems (2012), pp. 12  [abs]
2. 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]
3. Elizabeth Munch , Michael Shapiro and John Harer, Failure Filtrations for Fenced Sensor Networks, The International Journal of Robotics Research, vol. 31 no. 9 (2012)
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, Nature Biotechnology (2012)
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 (2012)  [abs]
6. 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]
7. Paul Bendich , Jacob Harer and John Harer, Persistent Homology Enhanced Dimension Reduction, Foundations of Computational Mathematics (2012)
8. Katherine Turner, Yuriy Mileyko, Sayan Mukherjee and John Hare, Fréchet Means for Distributions of Persistence diagrams, arXiv:1206.2790 [math.ST] (2012)  [abs]
1. 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
1. 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)
2. 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]
1. D. Lawlor, Y. Wang, and A. Christlieb, Adaptive sub-linear Fourier algorithms, Advances is Adaptive Data Analysis (Summer, 2012) [arXiv:1207.6368]  [abs]
2. D. Lawlor, Y. Wang, and A. Christlieb, A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data (Spring, 2013) [arXiv:1304.4517]  [abs]
1. 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
2. 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)
3. 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
4. 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)
5. Anita T. Layton, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
6. 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)
7. 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
8. 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
9. 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)
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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)
18. Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube, Numer. Math. Theor. Meth. Appl., submitted (2013)
19. Anita T. Layton, Mathematical modeling of kidney transport, WIRESs Syst Biol Med, vol. 5 (2013), pp. 557-573
20. 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)
21. 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)
22. 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
23. 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)
24. Aurelie Edwards and Anita T. Layton, Calcium dynamics underlying the myogenic response of the renal afferent arteriole, Am J Physiol Renal Physiol, in press (2013)
25. 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)
26. 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)
27. 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)
28. 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
29. 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)
30. 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
31. 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
32. Ioannis Sgouralis and Anita T. Layton, Contol and modulation of fluid flow in the rat kidney, Bull Math Biol, in press (2013)
33. 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)
34. Robert Moss and Anita T. Layton, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model, Am J Physiol Renal Physiol, submitted (2013)
35. Anta T. Layton, Mathematical modeling of urea transport in the kidney, in Urea Transporters, in press, edited by Baoxue Yang (2013), Springer
36. Ioannis Sgouralis and Anita T. Layton, Theoretical assessment of renal autoregulatory mechanisms, Am J Physiol Renal Physiol, submitted (2013)
1. 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)
2. 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)
3. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, American Journal of Physiology--Renal Physiology 302:F1188-F1202 (May, 2012)
4. 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
5. 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)
1. A. Chertock, J.-G. Liu, and T. Pendleton, Convergence analysis of the particle method for the Camassa-Holm equation, in Proceedings of the 13th International Conference on Hyperbolic Problems: Theory, Numerics and Applications" (2012), pp. 365-373, Higher Education Press, Beijing
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. D. Chae, P. Degond, J.-G. Liu, Well-posedness for Hall-magnetohydrodynamics, Ann. I. H. Poincare, AN (2013)
20. 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)
21. 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)
22. 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 (2013)
23. P. Degond, J.-G. Liu and C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria, J Nonlinear Sci. (2013)
24. 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)
25. X. Chen, A. Jungel, J.-G. Liu, A note on Aubin-Lions-Dubinskii lemmas, Acta Applicanda Mathematicae (2013)
26. 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
1. 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
2. with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451
3. 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
4. with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759
5. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2012)
6. 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
7. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance (2012)
8. with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface (2012)
9. with James Nolen, Reactive trajectories and the transition path processes (2013)
10. with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal. (2013)
11. 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
12. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013)
13. 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
14. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation (2013) (submitted to SEG Technical Program Expanded Abstracts 2013.)
15. with Jeremy L. Marzuola, Strang splitting methods applied to a quasilinear Schrodinger equation - convergence and dynamics (2013)
16. with Lin Lin and Sihong Shao, Analysis of the time reversible Born-Oppenheimer molecular dynamics (2013)
1. 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
2. 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..)
3. Ronald R Coifman and Mauro Maggioni, Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms no. YALE/DCS/TR-1289 (2004)
4. 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)
5. 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)
6. J. Bouvrie, M. Maggioni, Efficient Solution of Markov Decision Problems with Multiscale Representations, Proc. 50th Annual Allerton Conference on Communication, Control, and Computing (2012)
7. J. Bouvrie, M. Maggioni, Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems, in Proc. IEEE Conference on Decision and Control (CDC) (2012) [pdf]
8. 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)
9. M. Iwen, M. Maggioni, Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections, Inference & Information (2012)
10. J. Bouvrie, M. Maggioni, Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning (2012) [1212.1143]
11. A.V. Little, M. Maggioni, L. Rosasco, Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature (2012)
12. M. Maggioni, What is...data mining?, A.M.S. Notices (April, 2012) [pdf]
1. Ivan Matic, James Nolen, A sublinear variance bound for solutions of a random Hamilton-Jacobi equation, J Stat Phys, vol. 149 no. 2 (September, 2012), pp. 342-361, Springer, ISSN 149:342-361 [2937]  [abs]
1. 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]
2. 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]
1. K. McGoff, Random subshifts of finite type, Annals of Probability, vol. 40 no. 2 (2012), pp. 648–694 [arXiv:1006.1325v1], [1332772716]
2. D. Burguet and K. McGoff, Orders of accumulation of entropy, Fundamenta Mathematicae, vol. 216 no. 1 (2012), pp. 1-53 [arXiv:0911.4083v1], [doi]
3. K. McGoff, S. Mukherjee, and N. Pillai, Statistical inference for dynamical systems: a review, Statistical Surveys (2012) [arXiv:1204.6265]
1. 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]
2. 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]
3. with Thomas Kahle, Decompositions of commutative monoid congruences and binomial ideals, Algebra & Number Theory (2012) (62 pages.) [math.AC/1107.4699]  [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 (2012) (20 pages.) [math.PR/1202.4267]  [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) (2012) (32 pages.) [math.DS/1208.0874]  [abs]
6. with Megan Owen and Scott Provan, Averaging metric phylogenetic trees (2012) (43 pages.) [math.MG/1211.7046]  [abs]
7. with Christine Berkesch and Stephen Griffeth, Systems of parameters and holonomicity of hypergeometric systems (2012) (5 pages.)  [abs]
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3. S. Minsker, Non-asymptotic bounds for prediction problems and density estimation, Ph.D. Thesis, Georgia Institute of Technology (May, 2012) [pdf]
1. 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]
2. R. Moss, T. Grosse, I. Marchant, N. Lassau, F. Gueyffier, S. R. Thomas, Virtual patients and sensitivity analysis of the Guyton model of blood pressure regulation: towards individualized models of whole-body physiology, PLoS Comp Biol, vol. 8 no. 6 (June, 2012), pp. e1002571 [journal.pcbi.1002571], [doi]  [abs]
3. 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]
1. L. Ng, On arc index and maximal Thurston-Bennequin number, Journal of Knot Theory and Its Ramifications, vol. 21 no. 4 (2012) [arXiv:math/0612356], [doi]
2. L. Ng, A topological introduction to knot contact homology (2012) [arXiv:1210.4803]
3. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology (2013/03/26) [arXiv:1303.6371]
4. M. Aganagic, T. Ekholm, L. Ng, and C. Vafa, Topological strings, D-model, and knot contact homology (2013) [arXiv:1304.5778]
5. 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]
6. W. Chongchitmate and L. Ng, An atlas of Legendrian knots, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [arXiv:1010.3997], [doi]
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1. I. Matic and J. Nolen, A sublinear variance bound for solutions of a random Hamilton-Jacobi equation, Journal of Statistical Physics, vol. 149 no. 2 (2012), pp. 342-361 [pdf], [doi]
2. A. Mellet and J. Nolen, Capillary drops on a rough surface, Interfaces and Free Boundaries, vol. 14 (2012), pp. 167-184 [doi]
3. J. Nolen, G. Pavliotis, A. Stuart, Multiscale modeling and inverse problems, in Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, edited by I.G. Graham, T.Y. Hou, O. Lakkis and R. Scheichl (2012), Springer [2943]
4. J. Nolen, J.-M. Roquejoffre, L. Ryzhik, A. Zlatos, Existence and non-existence of Fisher-KPP transition fronts, Archive for Rational Mechanics and Analysis, vol. 203 no. 1 (2012), pp. 217-246 [2392], [doi]
5. F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik, The logarithmic delay of KPP fronts in a periodic medium (2012) [6173]
6. S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs (2013) [6551]
7. J. Lu and J. Nolen, Reactive trajectories and the transition path process. (2013) [1744]
8. J. Nolen, J.-M. Roqujoffre, L. Ryzhik, Power-like delay in time inhomogeneous Fisher-KPP equations (2013) [pdf]
9. J. Nolen, Normal approximation for a random elliptic equation, Probability Theory and Related Fields (2013) [pdf], [doi]
10. 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]
11. 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]
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
1. Jose A. Perea and Gunnar Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation (November, 2013) [pdf]
2. Jose A. Perea and John Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis (November, 2013) [arXiv:1307.6188] [pdf]
1. A. O. Petters and X. Dong, Mathematical Finance with Applications: Understanding and Buiding Financial Intuition, SUMAT (August, 2013), Springer, in preparation
2. A. O. Petters and M. C. Werner, Gravitational Lensing and Black Holes (December, 2013), Springer, in preparation
1. 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)
2. C. Mitchell, M.C. Reed, Do Real Neurons Have Time Windows?, Journal of Computational Neuroscience (2012)
3. M. Reed, H. F. Nijhout, J. Best, Mathematical insights into the effects of levodopa, Frontiers in Integrative Neuroscience, vol. 6 (2012), pp. 1-24
4. 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)
5. 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
6. 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)
7. 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)
1. M.D. Ryser, S.V. Komarova, Mathematical modeling of cancer metastases, in Computational Bioengineering , CRC/Taylor & Francis (Invited book chapter.)
2. 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]
3. M.D. Ryser, Y. Qu, S.V. Komarova, Osteoprotegerin in bone metastases: mathematical solution to the puzzle, J. Comput. Biol. (October 18, 2012)
1. S. Güntürk, M. Lammers, A. Powell, R. Saab, O. Yilmaz., Sobolev duals for random frames and Sigma-Delta quantization of compressed sensing measurements, Foundations of Computational Mathematics (2012)
2. N. Strawn, A. Armagan, R.Saab, L. Carin, D. Dunson, Finite sample posterior concentration in high-dimensional regression (2012)
3. 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
4. F. Krahmer, R. Saab, R. Ward, Root-exponential accuracy for coarse quantization of finite frame expansions, IEEE Transactions on Information Theory (February, 2012) [pdf]
5. 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]
1. L. Ji, K. Murty, L. Saper, and J. Scherk, The Fundamental Group of Reductive Borel-Serre and Satake Compactifications (April, 2012)  [abs]
1. 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
2. C. Schoen, Torsion in the Cohomology of Desingularized Fiber Products of Elliptic Surfaces, Michigan Math. J., vol. 62 (2013), pp. 81-115
3. 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
1. Mark Huber, and Sarah Schott, Random Construction of Interpolating Sets for High Dimensional Integration, Journal of Applied Probability (2012)
2. Bookman, Rann Bar-On, Benjamin Cooke , and Sarah Schott, (Re)discovering SoTL through a Fundamental Challenge: Helping Students Transition to College Calculus, MAA Notes: Guide to the Scholarship of Teaching and Learning in Mathematics (Fall, 2012)
1. J. Gravner, C. Hoffman, J. Pfeiffer, D. Sivakoff, Bootstrap percolation on the Hamming torus (2012) [arxiv:1202.5351]
2. D. Sivakoff, Contact process on random graphs with communities (2012) [arXiv:1210.3434]
3. C.D. Brummitt, S. Chatterjee, P.S. Dey, D. Sivakoff, Jigsaw percolation: What social networks can collaboratively solve a puzzle? (2012) [arXiv:1207.1927]
4. 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
1. Callum Quigley, Savdeep Sethi, and Mark Stern, Novel Branches of (0,2) Theories, JHEP, vol. 1209 no. 064 (2012), ISSN 1029-8479 [3228]  [abs]
2. 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]
3. Ilarion V. Melnikov, Callum Quigley, Savdeep Sethi, M.A. Stern, Target Spaces from Chiral Gauge Theories, JHEP vol. 1302 no. 111 (2013) (December 12, 2012) [1212]  [abs]
4. Anda Degeratu and M.A. Stern, Witten spinors on nonspin manifolds, Communications of Mathematical Physics 2013 (October, 2013) [DG/1112.0194], [0194]  [abs]
1. N. Totz, S. Wu, A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem, Communications in Mathematical Physics, vol. 310 no. 3 (2012), pp. 817-883, Springer [arXiv:1101.0545]  [abs]
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]
1. 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]
2. 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]
1. 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)
2. 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]
3. Dai E, He H, Vogelstein JT, Hou Zengguag, Accurate Prediction of AD Patients using Cortical Thickness Networks., Machine Vision and Applications. (2012)
4. CE Priebe, DL Sussman, M Tang, JT Vogelstein, Statistical inference on errorfully observed graphs, JASA (2012)
5. 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)
6. D Koutra, JT Vogelstein, C Faloutsos, DeltaCon: Measuring Connectivity Differences in Large Networks, SIAM International Conference on Data Mining (2012)
7. J. Vogelstein, Large (Brain) Graph Matching via Fast Approximate Quadratic Programming, PAMI (2012)
8. J. Vogelstein, Shuffled Graph Classification: Theory and Applications in Statistical Connectomics., Journal of Classification (2012)
9. 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]
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