Publications

 

2023

Chen, Ming

DeBlois, Jason

  • Dehn surgery and hyperbolic knot complements without hidden symmetries” (with E. Chesebro, N. Hoffman, C. Millichap, P. Mondal and W. Worden). International Math Research Notices 2023, no. 6, 5293--5351.
  • “Orbifolds commensurable with the figure-eight knot complement: theory” (with H.A. Ekanayake, M.
    Fincher, T. Gaona, A. Gharagozlou, and P. Mondal). 25, 35 pp.
  •  

Fedorov, Roman

Hajlasz, Piotr

Ion, Bogdan

Jiang, Huiqiang

  • Steady states of thin-film equations with van der Waals force with mass constraint With X.
    Chen and G. Liu, Euro. Jnl of Applied Mathematics (2023), vol. 34, pp. 280–302

Layton, William

Lewicka, Marta

  • M. Lewicka: Calculus of variations on thin prestressed films, to appear in Birkhauser Progress in Nonlinear Differential Equations and Their Applications (May 2023). This book was written and submitted last year. Now it is going to be published, which required a lot of extra work with corrections and modifications, 456 pages.

Manfredi, Juan

Neilan, Michael

  • H. Liu, M. Neilan, and M. Olshanskii, A CutFEM divergence-free discretization for the Stokes problem Journal: ESAIM Math. Model. Numer. Anal., 57(1):143-165, 2023 Pages: 23

Schikorra, Armin

Streipert, Sabrina

  • Streipert, S. Introduction to Time Scales, In: Nonlinear Systems - Recent Developments and Advances (edt. Bo Yang and Dusan Stipanovic) IntechOpen, Rijeka, 2023. doi:10.5772/intechopen.100717 (published: March 2023) https://www.intechopen.com/books/11499

Trenchea, Catalin

Vainchtein, Anna

Wang, Dehua

  • Wang, Dehua; Xie, Feng, Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition. J. Differential Equations 353 (2023), 63–113.

Wang-Erickson, Carl

Yotov, Ivan

2022

Burkhardt, John

Chadam, John

Chen, Ming

  • The shallow-water models with cubic nonlinearity, with T. Hu and Y. Liu, J. Math. Fluid Mech., 24
    (2022), no. 2, Paper No. 49, 31 pp.
  • A Kato-type criterion for vanishing viscosity near the Onsager's critical regularity, with Z. Liang and D.
    Wang, Arch. Ration. Mech. Anal., 246 (2022) 535-559.
  • Global bifurcation of solitary waves to the Boussinesq abcd system, with J. Jin, J. Differential
    Equations, 310 (2022) 235-263.
  • Orbital stability of internal waves, with S. Walsh, Comm. Math. Phys. 391 (2022), 1091-1141.
  • Center manifolds without a phase space for quasilinear problems in elasticity, biology, and
    hydrodynamics, with S. Walsh and M. Wheeler, Nonlinearity, 35 (2022) 1927-1985.
  • On the vortex sheets of compressible flows, with F. Huang, D. Wang and D. Yuan, Commun. Appl.
    Math. Comput. (2022) 1-20.

Chen, Xinfu

DeBlois, Jason

  • Walks with jumps: a neurobiologically motivated class of paths in the hyperbolic plane” (with Teddy
    Einstein, Jonathan Victor, and Anuradha, Mark, Arshia) 32 pp; 10 p. preprint with the working title “Walk with jumps theory”]

Ermentrout, Bard

Fedorov, Roman

On the Grothendieck-Serre Conjecture about principal bundles and its generalizations, 18 pages, arXiv: Algebra Number Theory 16 (2022), no.2, 447–465.

https://arxiv.org/abs/1810.11844

Gartside, Paul

Hajlasz, Piotr

Layton, William

Lewicka, Marta

  • M. Espanol, M. Lewicka, L. Scardia and A. Schloemerkemper (Editors): Research in the Mathematics of Materials Science. 405 pp, Springer Association for Women in Mathematics Series volume 31. Published 2022.

Manfredi, Juan

Morgan, Jeremiah

Neilan, Michael

Pan, Yibiao

Rubin, Jonathan

  • Letson, Benjamin, Rubin Jonathan E. (2022, Vol 22, Issue 4) On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers. SIAM Journal on Applied Dynamical Systems, https://doi.org/10.1137/21M1421957.

  • Park, Choongseok and Rubin, Jonathan E. (2022, Vol. 21 #4) Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling}, SIAM Journal on Applied Dynamical Systems, https://doi.org/10.1137/21M1431679.

  • Ermentrout, Bard, McCrea, Madeline and Rubin, Jonathan E. (October 2022, Vol. 19, Issue 195) A model for the collective synchronization of flashing in Photinus carolinus, Journal of the Royal Society Interface, https://doi.org/10.1098/rsif.2022.0439.
  • Duan, X., Rubin, J.E., & Swigon, D., Rigorous mapping of data to parameter values and dynamical properties: a case study on a two-variable Lotka-Volterra system, submitted to Bulletin of Mathematical Biology (2022). https://arxiv.org/abs/2209.14191

Schikorra, Armin

Swigon, David

  • Nanayakkara, T., Clermont, G., Langmead, C.J. Swigon, D., Deep normed embeddings for patient representation, submitted to PloS Digital Health (2022). https://arxiv.org/abs/2204.05477
  • Duan, X., Rubin, J.E., & Swigon, D., Rigorous mapping of data to parameter values and dynamical properties: a case study on a two-variable Lotka-Volterra system, submitted to Bulletin of Mathematical Biology (2022). https://arxiv.org/abs/2209.14191

Catalin Trenchea 

Vainchtein, Anna

Wang, Dehua

  • Li, Lin-An; Wang, Dehua; Wang, Yi, Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations. J. Funct. Anal. 283 (2022), no. 2, Paper No. 109499, 50 pp.

  • Liang, Zhilei; Wang, Dehua, Weak solutions to the stationary Cahn-Hilliard/Navier-Stokes equations for compressible fluids. J. Nonlinear Sci. 32 (2022), no. 4, Paper No. 41, 25 pp.

  • Wang, Dehua; Ye, Zhuan, Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier-Stokes equations with vacuum. Methods Appl. Anal. 29 (2022), no. 1, 57–93.

  • Chen, Robin Ming; Liang, Zhilei; Wang, Dehua, A Kato-type criterion for vanishing viscosity near Onsager's critical regularity. Arch. Ration. Mech. Anal. 246 (2022), no. 2-3, 535–559.

  • Wang, Dehua; Xie, Feng, Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition. J. Differential Equations 353 (2023), 63–113.

Wang Erickson, Carl

  • Class groups and local indecomposability for non-CM forms. [journal] [arXiv] With Francesc Castella. With an appendix by Haruzo Hida.
    Journal of the European Mathematical Society 24 (2022), 1103-1160.

Yotov, Ivan

 

2021

Caginalp, Gunduz

  • Caginalp, C., Caginalp, G., & Swigon, D. (2021). Stochastic Asset Flow Equations: Interdependence of Trend and Volatility. Physica A, 574.

Ermentrout, Bard

  • Riman, N., Victor, J.D., Boie, S.D., & Ermentrout, B. (2021). The Dynamics of Bilateral Olfactory Seach and Navigation. SIAM Review 63 (1), 100-120.
  • Orr, D., & Ermentrout, G.B. (2021). Noise-Driven Oscillations in Couples Excitable Systems. SIAM Journal on Applied Dynamical Systems 20 (2), 826-852.
  • Ding, Y., & Ermentrout, B. (2021). Traveling waves in non-local pulse-coupled networks. Journal of Mathematical Biology 82 (3), 1-20.
  • Savinov, M., Swigon, D., & Ermentrout, B. (2021). Synchronization and locking in oscillators with flexible periods. Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (3), 033143.
  • Hengenius, J.B., Connor, E.G., Crimaldi, J.P., Urban, N.N., & Ermentrout, G.B. (2021). Olfactory navigation in the real world: Simple local search strategies for turbulent environments. Journal of Theoretical Biology 516, 110607.
  • Landsittle, J.A, Ermentrout, G.B., & Stiefel, K.M. (2021). A computational model of the shrimp-goby escape and communication system. Journal of Computational Neuroscience, 1-11.
  • Miyamae, T., Hashimoto, T., Abraham, M., Kawabata, R., Koshikizawa, S., ... & Ermentrout, B. (2021). Kcns3 deficiency disrupts Parvalbumin neuron physiology in mouse prefrontal cortex: Implications for the pathophysiology of schizophrenia. Neurobiology of Disease 155, 105382.
  • Mochan, E., Sego, T.J., Gaona, L., Rial, E., & Ermentrout, G.B. (2021). Compartmental Model Suggests Importance of Innate Immune Response to COVID-19 Infection in Rhesus Macaques. Bulletin of mathematical biology 83 (7), 1-26.

Hajlasz, Piotr

  • Esmayli, B., & Hajłasz, P. (2021). The Coarea Inequality. Annales Fennici Mathematici 46, 965-991.

Kaveh, Kiumars

  • Kaveh, K., Manon, C., Murata, T. (2021). Generic Tropical Initial Ideals of Cohen-Macaulay Algebras. J. Pure Appl. Algebra 225, No. 11, 106713, 11 pages.

Manfredi, Juan

  • Manfredi, J., & Stroffolini, B. (2021). Convergence of the Natural p-means for the p-Laplacian. ESAIM: Control, Optimization and Calculus of Variations 27, 33 pages.

Neilan, Michael

  • Neilan, M., & Otus, M.B. (2021). Divergence-free Scott-Vogelius elements on curved domains. SIAM Journal on Numerical Analysis, 59(2), 1090–1116.

Rubin, Jonathan

  • Rubin, J.E., Signerska-Rynkowska, J., Touboul, J. (2021). Type III Neuronal Dynamics in a Hybrid Nonlinear Model. SIAM J. Appl. Dyn. Syst.,  20(2), 953-980.

Schikorra, Armin

  • Schikorra, A. (2021). Limits of conformal immersions under a bound on a fractional normal curvature quantity. Vietnam Journal of Mathemathics 49, No. 2, 281-317.
  • Antil, H., Rautenberg, C. N., Schikorra, A. (2021). On a fractional version of a Murat compactness result and applications. SIAM Jounal of Mathematical Analysis 53, No. 3, 3158-3187.
  • Mengasha, T., Schikorra, A., Yeepo S. (2021). Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel. Advanced Math, 383(64), 107692.

Trenchea, Catalin

  • Bukač, M., & Trenchea, C. (2021). Boundary update via resolvent for fluid-structure interaction. Journal of Numerical Mathematics 29, No. 1, 1-22.
  • Bukač, M., Seboldt, A., & Trenchea, C. (2021). Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems. J. Math. Fluid Mech. 23, no. 3, Paper No. 64.

Wang-Erickson, Carl

  • Wake, P., & Wang-Erickson, C. (2021). The Eisenstein ideal with squarefree level. Adv. Math. 380, Paper No. 107543, 62 pp.

2020

Caginalp, Gunduz

  • Caginalp, G., & DeSantis, M. (2020). Nonlinear price dynamics of S&P 100 stocks. Physica A: Statistical Mechanics and its Applications, 547, 122067.
  • Caginalp, C., & Caginalp, G. (2020). Derivation of non-classical stochastic price dynamics equations. Physica A: Statistical Mechanics and its Applications, 560, 125118.

Chadam, John

  • Chen, X., Saunders, D., & Chadam, J. (2020). Analysis of an optimal stopping problem arising from hedge fund investing. Journal of Mathematical Analysis and Applications, 483(1), 123559.

Chen, Xinfu

  • Carrillo, J. A., Chen, X., Wang, Q., Wang, Z., & Zhang, L. (2020). Phase Transitions and Bump Solutions of the Keller--Segel Model with Volume Exclusion. SIAM Journal on Applied Mathematics, 80(1), 232-261.
  • Chen, X., Saunders, D., & Chadam, J. (2020). Analysis of an optimal stopping problem arising from hedge fund investing. Journal of Mathematical Analysis and Applications, 483(1), 123559.

DeBlois, Jason

  • DeBlois, J. (2020). Bounds for several-disk packings of hyperbolic surfaces. Journal of Topology and Analysis, 12(01), 131-167.
  • DeBlois, J., Miller, N., & Patel, P. (2020). Effective virtual and residual properties of some arithmetic hyperbolic 3–manifolds. Transactions of the American Mathematical Society, 373(11), 8219-8257.
  • DeBlois, J., & Romanelli, K. (2020). The maximal injectivity radius of hyperbolic surfaces with geodesic boundary. Geometriae Dedicata, 1-27.

Ermentrout, Bard

  • Gumaste, A., Coronas-Samano, G., Hengenius, J., Axman, R., Connor, E. G., Baker, K. L., ... & Verhagen, J. V. (2020). A Comparison between Mouse, In Silico, and Robot Odor Plume Navigation Reveals Advantages of Mouse Odor Tracking. Eneuro, 7(1).
  • Orr, D., & Ermentrout, B. (2020). Oscillations via Excitable Cells.
  • Liu, A., Papale, A. E., Hengenius, J., Patel, K., Ermentrout, B., & Urban, N. N. (2020). Mouse navigation strategies for odor source localization. Frontiers in neuroscience, 14, 218.
  • Touboul, J. D., Piette, C., Venance, L., & Ermentrout, G. B. (2020). Noise-Induced Synchronization and Antiresonance in Interacting Excitable Systems: Applications to Deep Brain Stimulation in Parkinson’s Disease. Physical Review X, 10(1), 011073.
  • Heitmann, S., Ermentrout, G.B. (2020). Direction-Selective Motion Discrimination by Traveling Waves in a Visual Cortex. PLoS Computational Biology 16 (9), e1008164.
  • Ermentrout, B., Park, Y., & Wilson, D. (2020). Correction to ‘Recent advances in coupled oscillator theory’. Philosophical Transactions of the Royal Society A, 378(2170), 20200121.
  • Ermentrout, B., Park, Y., & Wilson, D. (2019). Recent advances in coupled oscillator theory. Philosophical Transactions of the Royal Society A, 377(2160), 20190092.

Fedorov, Roman

  • Fedorov, R., Soibelman, A., & Soibelman, Y. (2020). Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 16, 070.

Gartside, Paul

  • Espinoza, B., Gartside, P., & Pitz, M. (2020). Graph‐like compacta: Characterizations and Eulerian loops. Journal of Graph Theory.

Hajlasz, Piotr

  • Bonk, M., Capogna, L., Hajłasz, P., Shanmugalingam, N., & Tyson, J. (2020). Analysis in Metric Spaces. Notices of the American Mathematical Society, 67(2), 253-256.
  • Alvarado, R., Górka, P., & Hajłasz, P. (2020). Sobolev embedding for $M^{1,p}$ spaces is equivalent to a lower bound of the measure. Journal of Functional Analysis, 108628.
  • Goldstein, P., Hajłasz, P., & Pankka, P. (2020). Topologically nontrivial counterexamples to Sard’s theorem. International Mathematics Research Notices, 2020(20), 7073-7096.
  • Alvarado, R.,  & Hajłasz, P. (2020). A note on metric-measure spaces supporting Poincare inequalities. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 31, 15-23.
  • P. Hajłasz,  & S. Zimmerman (2020). An implicit function theorem for Lipschitz mappings into metric spaces. Indiana Univ. Math. J. 69, 205–228.

Jiang, Huiqiang

  • Chen, X., Jiang, H., & Liu, G. (2020). Boundary spike of the singular limit of an energy minimizing problem. Discrete & Continuous Dynamical Systems-A, 40(6), 3253.

Kaveh, Kiumars

  • Kaveh, K., & Khovanskii, A. G. (2020). Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space. Symmetry, Integrability and Geometry: Methods and Applications, 16(0), 16-12.
  • Escobar, L., & Kaveh, K. (2020). Convex polytopes, algebraic geometry, and combinatorics. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 67(8).

Layton, William

  • DeCaria, V., Iliescu, T., Layton, W., McLaughlin, M., & Schneier, M. (2020). An artificial compression reduced order model. SIAM Journal on Numerical Analysis, 58(1), 565-589.
  • Layton, W., & Schneier, M. (2020). Diagnostics for eddy viscosity models of turbulence including data-driven/neural network based parameterizations. Results in Applied Mathematics, 100099.
  • Li, Y., Hou, Y., Layton, W., & Zhao, H. (2020). Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes–Darcy system. Computer Methods in Applied Mechanics and Engineering, 364, 112923.
  • Layton, W., & McLaughlin, M. (2020). Doubly-adaptive artificial compression methods for incompressible flow. Journal of Numerical Mathematics, 28(3), 175-192.
  • Jiang, N., Layton, W., McLaughlin, M., Rong, Y., & Zhao, H. (2020). On the Foundations of Eddy Viscosity Models of Turbulence. Fluids, 5(4), 167.

Lennard, Chris

  • Japón, M., Lennard, C., & Popescu, R. (2020). A fixed-point characterization of weakly compact sets in L1 (μ) spaces. Journal of Mathematical Analysis and Applications, 124228.
  • Gallagher, T. M., Japón, M., & Lennard, C. (2020). The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings. Journal of Fixed Point Theory and Applications, 22(4), 1-16.

Lewicka, Marta

  • Lewicka, M. (2020). Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models. Archive for Rational Mechanics and Analysis, 1-31.
  • Lewicka, M., & Lučić, D. (2020). Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Communications on Pure and Applied Mathematics, 73(9), 1880-1932.
  • Lewicka, M., & Peres, Y. (2020). Which domains have two-sided supporting unit spheres at every boundary point?. Expositiones Mathematicae, 38(4), 548-558.
  • Lewicka M., Manfredi J. & Ricciotti D. (2020). Random walks and random Tug of War in the Heisenberg group. Mathematische Annalen 377, 797–-846.
  • Lewicka M. (2020 June) A Course on Tug-of-War Games with Random Noise: Introduction and Basic Constructions (Universitext), Springer; 1st ed. 2020 edition, 263pp.
  • Acu, B., Danielli, D., Lewicka, M., Pati, A.N., Saraswathy RV, Teboh-Ewungkem, M.I. (Eds.) (2020). Advances in Mathematical Sciences, Springer; 1st ed. 2020 edition, 369pg.

Manfredi, Juan

  • Brustad, K. K., Lindqvist, P., & Manfredi, J. J. (2020). A Discrete Stochastic Interpretation of the Dominative $ p $-Laplacian. Differential and Integral Equations, 33(9/10), 465-488.
  • Domokos, A., Manfredi, J.J. (2020) $C^{1,α}$-subelliptic regularity on SU(3)SU(3) and compact, semi-simple Lie groups. Anal.Math.Phys. 10, 4, 1-32.
  • del Teso, F., Manfredi, J. J., & Parviainen, M. (2020). Convergence of dynamic programming principles for the p-Laplacian. Advances in Calculus of Variations, 1(ahead-of-print).
  • Domokos, A., & Manfredi, J. J. (2020, March). Hilbert-Haar coordinates and Miranda's theorem in Lie groups. In Bruno Pini Mathematical Analysis Seminar (Vol. 11, No. 1, pp. 94-118).
  • Domokos, A., & Manfredi, J. J. (2020, March). Regularity for quasilinear PDEs in Carnot groups via Riemannian approximation. In Bruno Pini Mathematical Analysis Seminar (Vol. 11, No. 1, pp. 119-142).
  • Lewicka M., Manfredi J., & Ricciotti D. (2020). Random walks and random Tug of War in the Heisenberg group. Mathematische Annalen 377, 797–-846.

Ming, Chen

  • Chen, M., Liang, Z., Wang, D., & Xu, R. (2020). Energy equality in compressible fluids with physical boundaries. SIAM Journal on Mathematical Analysis, 52(2), 1363-1385.
  • Chen, R. M., Hu, J., Wang, D., Wang, T., & Yuan, D. (2020). Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics. Journal of Differential Equations, 269(9), 6899-6940.

Neilan, Michael

  • Fu, G., Guzmán, J., & Neilan, M. (2020). Exact smooth piecewise polynomial sequences on Alfeld splits. Mathematics of Computation, 89(323), 1059-1091.
  • Neilan, M., Salgado, A. J., & Zhang, W. (2020). The Monge–Ampère equation. In Handbook of Numerical Analysis (Vol. 21, pp. 105-219). Elsevier.
  • Guzmán, J., Lischke, A., & Neilan, M. (2020). Exact sequences on Powell–Sabin splits. Calcolo, 57(2), 1-25.
  • Neilan, M. (2020, July). The Stokes complex: A review of exactly divergence–free finiteelement pairsfor incompressibleflows. In 75 Years of Mathematics of Computation: Symposium on Celebrating 75 Years of Mathematics of Computation, November 1-3, 2018, the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island (Vol. 754, p. 141). American Mathematical Soc..
  • Neilan, M., & Zytoon, A. (2020) Connection between Grad-Div Stabilized Stokes Finite Elements and Divergence-Free Stokes Finite Elements. Int. J. Numer. Anal. Model., 17(6), 839–857.
  • Linke, A., Merdon, C., & Neilan, M. (2020). Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. Electronic Transactions on Numerical Analysis, 52, 281–294.

Popescu, Roxana

  • Japón, M., Lennard, C., & Popescu, R. (2020). A fixed-point characterization of weakly compact sets in L1 (μ) spaces. Journal of Mathematical Analysis and Applications, 124228.

Rabier, Patrick

  • Rabier, P. J. (2020). The generic dimension of spaces of $\mathbf {A} $-harmonic polynomials. Publicacions Matemàtiques, 64(1), 157-182.

Rubin, Jonathan

  • Letson, B., & Rubin, J. E. (2020). LOR for analysis of periodic dynamics: A one-stop shop approach. SIAM Journal on Applied Dynamical Systems, 19(1), 58-84.
  • Letson, B., Rubin, J.E. (2020) Local orthogonal rectification:  Deriving natural coordinates to study flows relative to manifolds. Discrete & Continuous Dynamical Systems-B 25 (9), 3725.
  • Vich, C., Dunovan, K., Verstynen, T., & Rubin, J. (2020). Corticostriatal synaptic weight evolution in a two-alternative forced choice task: a computational study. Communications in Nonlinear Science and Numerical Simulation, 82, 105048.
  • Rubin, J. E., Vich, C., Clapp, M., Noneman, K., & Verstynen, T. (2020). The credit assignment problem in cortico‐basal ganglia‐thalamic networks: A review, a problem and a possible solution. European Journal of Neuroscience.
  • Wang, Y., & Rubin, J. E. (2020). Complex bursting dynamics in an embryonic respiratory neuron model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(4), 043127.
  • Theis, N., Dash, K., Patel, N., Muldoon, B., Iyengar, S., Rubin, J., ... & Prasad, K. (2020). Multiplex Network Pattern Analysis for Structure-Function Connectivity Coupling in Psychosis Risk. Biological Psychiatry, 87(9), S201-S202.
  • Greer, M. L., Akman, O., Comar, T. D., Hrozencik, D., & Rubin, J. E. (2020). Paying Our Dues: The Role of Professional Societies in the Evolution of Mathematical Biology Education. Bulletin of Mathematical Biology, 82(5), 59-59.
  • Whalen, T.C., Willard, A.M., Rubin, J.E, Gittis, A.H. (2020). Delta oscillations are a robust biomarker of dopamine depletion severity and motor dysfunction in awake mice. J. Neurophysiol. 124:312-329.
  • Codianni, M., Daun, S., Rubin, J.E. (2020) Bottom-up and top-down control of rhythm generation in a central pattern generator unit for stick insect locomotion. Biological Cybernetics, 114: 533-555.
  • Duan, X., Rubin, J. E., & Swigon, D. (2020). Identification of affine dynamical systems from a single trajectory. Inverse Problems. 36:085004
  • Phillips, R. S., Rosner, I., Gittis, A. H., & Rubin, J. E. (2020). The effects of chloride dynamics on substantia nigra pars reticulata responses to pallidal and striatal inputs. Elife, 9, e55592.
  • Codianni, M. G., Daun, S., & Rubin, J. E. (2020). The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. Biological Cybernetics, 114(6), 533-555.
  • Schwab BC, Kase D, Zimnik A, Rosenbaum R, Codianni MG, Rubin JE, Turner RS. (2020 Oct). Neural activity during a simple reaching task in macaques is counter to gating and rebound in basal ganglia-thalamic communication. PLoS Biol;18(10):e3000829.
  • Whalen TC, Willard AM, Rubin JE, Gittis AH. (2020 Aug). Delta oscillations are a robust biomarker of dopamine depletion severity and motor dysfunction in awake mice. J Neurophysiol;124(2):312-329.

Schikorra, Armin

  • Schikorra, A., & Van Schaftingen, J. (2020). An estimate of the Hopf degree of fractional Sobolev mappings. Proceedings of the American Mathematical Society, 148(7), 2877-2891.
  • Khomrutai, S., & Schikorra, A. (2020). On C1, alpha-regularity for critical points of a geometric obstacle-type problem. Journal de Mathématiques Pures et Appliquées.
  • Lenzmann, E., & Schikorra, A. (2020). Sharp commutator estimates via harmonic extensions. Nonlinear Analysis, 193, 111375.
  • Schikorra, A. (2020). Hölder-topology of the Heisenberg group. Aequationes mathematicae, 94(2), 323-343.
  • Bugiera, L., Lenzmann, E., Schikorra, A., & Sok, J. (2020). On symmetry of traveling solitary waves for dispersion generalized NLS. Nonlinearity, 33(6), 2797.
  • Mazowiecka, K., Rodiac, R., & Schikorra, A. (2020). Epsilon-regularity for p-harmonic maps at a free boundary on a sphere. Analysis & PDE, 13(5), 1301-1331.

Swigon, David

  • Duan, X., Rubin, J. E., & Swigon, D. (2020). Identification of affine dynamical systems from a single trajectory. Inverse Problems.

Trenchea, Catalin

  • Burkardt, J., & Trenchea, C. (2020). Refactorization of the midpoint rule. Applied Mathematics Letters, 106438.

Vainchtein, Anna

  • Vainchtein, A., Cuevas-Maraver, J., Kevrekidis, P. G., & Xu, H. (2020). Stability of traveling waves in a driven Frenkel-Kontorova model. Communications in Nonlinear Science and Numerical Simulation, 105236.
  • Vainchtein, A. (2020). Rarefactive lattice solitary waves with high-energy sonic limit. Physical Review E, 102(5), 052218.

van Doorn, Floris

  • Sojakova, K., Doorn, F. V., & Rijke, E. (2020, July). Sequential Colimits in Homotopy Type Theory. In Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 845-858).
  • van Doorn, F., Ebner, G., and Lewis, R.Y. (2020). Maintaining a Library of Formal Mathematics. CICM 2020: 13th Conference on Intelligent Computer Mathematics.
  • The mathlib Community (2020). The Lean Mathematical Library. CPP 2020: Certified Programs and Proofs.
  • Han, J. M., & van Doorn, F. (2020, January). A formal proof of the independence of the continuum hypothesis. In Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs (pp. 353-366).

Wang, Dehua

  • Li, L. A., Wang, D., & Wang, Y. (2020). Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier–Stokes equations. Communications in Mathematical Physics, 376(1), 353-384.
  • M. Chen, J. Hu, and D. Wang. (2020). Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients. Math. Ann. 376, 863-912..
  • Chen, M., Liang, Z., Wang, D., & Xu, R. (2020). Energy equality in compressible fluids with physical boundaries. SIAM Journal on Mathematical Analysis, 52(2), 1363-1385.
  • Wang, D., Wu, J., & Ye, Z. (2020). Global regularity of the three-dimensional fractional micropolar equations. Journal of Mathematical Fluid Mechanics, 22, 1-36.
  • Chen, R. M., Hu, J., Wang, D., Wang, T., & Yuan, D. (2020). Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics. Journal of Differential Equations, 269(9), 6899-6940.
  • Liu, C. J., Wang, D., Xie, F., & Yang, T. (2020). Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. Journal of Functional Analysis, 108637.
  • Mu, Y., & Wang, D. (2020). Global well-posedness and optimal large-time behavior of strong solutions to the non-isentropic particle-fluid flows. Calculus of Variations and Partial Differential Equations, 59(4), 1-42..
  • Z. Liang, & D. Wang. (2020). Stationary Cahn–Hilliard–Navier–Stokes equations for the diffuse interface model of compressible flows. Math. Models Methods Appl. Sci. 30, no. 12, 2445-2486.

Wang, Linhong

  • Wang, L., & Wang, X. (2020). A note on generic Clifford algebras of binary cubic forms. Algebras and Representation Theory, 23(4), 1797-1806.

Wang-Erickson, Carl

  • Wake, P.,  & Wang-Erickson, C. (2020). The rank of Mazur's Eisenstein ideal. Duke Math. J. 169, no. 1, 31–115.
  • Levin, B.,  & Wang-Erickson, C. (2020). A Harder-Narasimhan theory for Kisin modules. Algebr. Geom. 7, no. 6, 645–695.

Yao, Song

  • Yao, S. (2020). $L^p$ solutions of reflected backward stochastic differential equations with jumps. ESAIM: Probability and Statistics, 24, 935-962.

Yotov, Ivan

  • Ambartsumyan, I., Khattatov, E., Nordbotten, J. M., & Yotov, I. (2020). A multipoint stress mixed finite element method for elasticity on simplicial grids. SIAM Journal on Numerical Analysis, 58(1), 630-656.
  • Ambartsumyan, I., Khattatov, E., Wang, C., & Yotov, I. (2020). Stochastic multiscale flux basis for Stokes-Darcy flows. Journal of Computational Physics, 401, 109011.
  • Caucao, S., Li, T., & Yotov, I. (2020, June). A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model. In International Conference on Finite Volumes for Complex Applications (pp. 325-333). Springer, Cham.