Publications of Jonathan C. Mattingly

Papers Published

  1. Earle, G; Mattingly, JC, Convergence of stratified MCMC sampling of non-reversible dynamics, Stochastics and Partial Differential Equations: Analysis and Computations (January, 2024)
  2. Autry, E; Carter, D; Herschlag, GJ; Hunter, Z; Mattingly, JC, METROPOLIZED FOREST RECOMBINATION FOR MONTE CARLO SAMPLING OF GRAPH PARTITIONS, SIAM Journal on Applied Mathematics, vol. 83 no. 4 (August, 2023), pp. 1366-1391, Society for Industrial & Applied Mathematics (SIAM)
  3. Herzog, DP; Mattingly, JC; Nguyen, HD, Gibbsian dynamics and the generalized Langevin equation, Electronic Journal of Probability, vol. 28 (January, 2023)
  4. Zhao, Z; Hettle, C; Gupta, S; Mattingly, JC; Randall, D; Herschlag, GJ, Mathematically Quantifying Non-responsiveness of the 2021 Georgia Congressional Districting Plan, ACM International Conference Proceeding Series (October, 2022), ISBN 9781450394772
  5. Mattingly, JC; Romito, M; Su, L, The Gaussian structure of the singular stochastic Burgers equation, Forum of Mathematics, Sigma, vol. 10 (September, 2022), Cambridge University Press (CUP)
  6. Li, L; Lu, J; Mattingly, JC; Wang, L, Numerical Methods For Stochastic Differential Equations Based On Gaussian Mixture, Communications in Mathematical Sciences, vol. 19 no. 6 (January, 2021), pp. 1549-1577, International Press of Boston
  7. Autry, EA; Carter, D; Herschlag, GJ; Hunter, Z; Mattingly, JC, METROPOLIZED MULTISCALE FOREST RECOMBINATION for REDISTRICTING, Multiscale Modeling and Simulation, vol. 19 no. 4 (January, 2021), pp. 1885-1914, Society for Industrial & Applied Mathematics (SIAM)
  8. Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Singularities of invariant densities for random switching between two linear ODEs in 2D, SIAM Journal on Applied Dynamical Systems, vol. 20 no. 4 (January, 2021), pp. 1917-1958
  9. Gao, Y; Kirkpatrick, K; Marzuola, J; Mattingly, J; Newhall, KA, LIMITING BEHAVIORS OF HIGH DIMENSIONAL STOCHASTIC SPIN ENSEMBLES*, Communications in Mathematical Sciences, vol. 19 no. 2 (January, 2021), pp. 453-494
  10. Gao, Y; Marzuola, JL; Mattingly, JC; Newhall, KA, Nonlocal stochastic-partial-differential-equation limits of spatially correlated noise-driven spin systems derived to sample a canonical distribution, Physical Review E, vol. 102 no. 5 (November, 2020), pp. 052112
  11. Leimbach, M; Mattingly, JC; Scheutzow, M, Noise-induced strong stabilization (September, 2020)
  12. Herschlag, G; Mattingly, JC; Sachs, M; Wyse, E, Non-reversible Markov chain Monte Carlo for sampling of districting maps (August, 2020)
  13. Autry, EA; Carter, D; Herschlag, G; Hunter, Z; Mattingly, JC, Multi-Scale Merge-Split Markov Chain Monte Carlo for Redistricting (August, 2020)
  14. Lu, Y; Mattingly, JC, Geometric ergodicity of Langevin dynamics with Coulomb interactions, Nonlinearity, vol. 33 no. 2 (January, 2020), pp. 675-699, IOP Publishing
  15. Carter, D; Hunter, Z; Teague, D; Herschlag, G; Mattingly, J, Optimal Legislative County Clustering in North Carolina, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 19-29
  16. Herschlag, G; Kang, HS; Luo, J; Graves, CV; Bangia, S; Ravier, R; Mattingly, JC, Quantifying Gerrymandering in North Carolina, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 30-38, Informa UK Limited
  17. Chikina, M; Frieze, A; Mattingly, JC; Pegden, W, Separating Effect From Significance in Markov Chain Tests, Statistics and Public Policy, vol. 7 no. 1 (January, 2020), pp. 101-114
  18. AGAZZI, A; MATTINGLY, JC, SEEMINGLY STABLE CHEMICAL KINETICS CAN BE STABLE, MARGINALLY STABLE, OR UNSTABLE, Communications in Mathematical Sciences, vol. 18 no. 6 (January, 2020), pp. 1605-1642, International Press of Boston
  19. Herzog, DP; Mattingly, JC, Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 72 no. 10 (October, 2019), pp. 2231-2255, WILEY
  20. Chin, A; Herschlag, G; Mattingly, J, The Signature of Gerrymandering in Rucho v. Common Cause, South Carolina Law Review, vol. 70 (2019)
  21. Wang, C; Mattingly, J; Lu, YM, Scaling Limit: Exact and Tractable Analysis of Online Learning Algorithms with Applications to Regularized Regression and PCA (December, 2017)
  22. Johndrow, JE; Mattingly, JC, Error bounds for Approximations of Markov chains used in Bayesian Sampling (November, 2017)
  23. Herschlag, G; Ravier, R; Mattingly, JC, Evaluating Partisan Gerrymandering in Wisconsin (September, 2017)
  24. Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Smooth invariant densities for random switching on the torus, vol. 31 no. 4 (August, 2017), pp. 1331-1350, IOP Publishing
  25. Johndrow, JE; Mattingly, JC, Coupling and Decoupling to bound an approximating Markov Chain (July, 2017)
  26. Glatt-Holtz, NE; Herzog, DP; Mattingly, JC, Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations, Annals of PDE (June, 2017)
  27. Bangia, S; Graves, CV; Herschlag, G; Kang, HS; Luo, J; Mattingly, JC; Ravier, R, Redistricting: Drawing the Line (April, 2017)
  28. with Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC, Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential, Communications in Mathematical Sciences, vol. 15 no. 7 (January, 2017), pp. 1987-2025, International Press of Boston
  29. Hairer, M; Mattingly, J, The strong Feller property for singular stochastic PDEs, vol. 54 no. 3 (2016), pp. 1314-1340, Institute of Mathematical Statistics
  30. Tempkin, JOB; Koten, BV; Mattingly, JC; Dinner, AR; Weare, J, Trajectory stratification of stochastic dynamics, SIAM Review, vol. 60 no. 4 (2016), pp. 909-938, Society for Industrial and Applied Mathematics
  31. Johndrow, JE; Mattingly, JC; Mukherjee, S; Dunson, D, Optimal approximating Markov chains for Bayesian inference (August, 2015)
  32. Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J, Probabilistic Fréchet means for time varying persistence diagrams, Electronic Journal of Statistics, vol. 9 no. 1 (January, 2015), pp. 1173-1204, Institute of Mathematical Statistics
  33. Huckemann, S; Mattingly, JC; Miller, E; Nolen, J, Sticky central limit theorems at isolated hyperbolic planar singularities, Electronic Journal of Probability, vol. 20 (2015), pp. 1-34, Institute of Mathematical Statistics
  34. Glatt-Holtz, N; Richards, G; Mattingly, JC, On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations, vol. 166 no. 3-4 (2015), pp. 618-649, Springer Nature
  35. Luo, S; Mattingly, JC, Scaling limits of a model for selection at two scales (2015)
  36. Herzog, DP; Mattingly, JC, Noise-Induced Stabilization of Planar Flows II (April, 2014)
  37. with Lawley, SD; Mattingly, JC; Reed, MC, Sensitivity to switching rates in stochastically switched ODEs, Communications in Mathematical Sciences, vol. 12 no. 7 (2014), pp. 1343-1352, International Press of Boston, ISSN 1539-6746
  38. Mattingly, JC; Pardoux, E, Invariant measure selection by noise. An example, Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10 (2014), pp. 4223-4257, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947
  39. with Bakhtin, Y; Hurth, T; Mattingly, JC, Regularity of invariant densities for 1D-systems with random switching, arXiv preprint arXiv:1406.5425, vol. 28 no. 11 (2014), pp. 3755-3787, IOP Publishing, ISSN 0951-7715
  40. Lawley, SD; Mattingly, JC; Reed, MC, Stochastic switching in infinite dimensions with applications to random parabolic PDEs, arXiv preprint arXiv:1407.2264, vol. 47 no. 4 (2014), pp. 3035-3063, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410
  41. Herzog, DP; Mattingly, JC, A practical criterion for positivity of transition densities, arXiv preprint arXiv:1407.3858, vol. 28 no. 8 (2014), pp. 2823-2845, IOP Publishing, ISSN 0951-7715
  42. Herzog, DP; Mattingly, JC, Noise-Induced Stabilization of Planar Flows I, arXiv preprint arXiv:1404.0957, vol. 20 (2014), Institute of Mathematical Statistics
  43. with Mattingly, JC; Vaughn, C, Redistricting and the Will of the People, arXiv preprint arXiv:1410.8796 (2014)
  44. Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; Owen, M; Patrangenaru, V; Skwerer, S, Sticky central limit theorems on open books, The Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258, Institute of Mathematical Statistics, ISSN 1050-5164
  45. with Mattingly, JC; McKinley, SA; Pillai, NS, Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing, Stochastic Processes and their Applications, vol. 122 no. 12 (December, 2012), pp. 3953-3979, Elsevier BV, ISSN 0304-4149
  46. Luo, S; Reed, M; Mattingly, JC; Koelle, K, The impact of host immune status on the within-host and population dynamics of antigenic immune escape., J R Soc Interface, vol. 9 no. 75 (October, 2012), pp. 2603-2613, The Royal Society
  47. with Athreyaz, A; Kolba, T; Mattingly, JC, Propagating lyapunov functions to prove noise-induced stabilization, Electronic Journal of Probability, vol. 17 (2012), pp. 1-38, Institute of Mathematical Statistics, ISSN 1083-6489
  48. Porporato, A; Kramer, PR; Cassiani, M; Daly, E; Mattingly, J, Local kinetic interpretation of entropy production through reversed diffusion., Phys Rev E Stat Nonlin Soft Matter Phys, vol. 84 no. 4 Pt 1 (Fall, 2011), pp. 041142
  49. Koelle, K; Ratmann, O; Rasmussen, DA; Pasour, V; Mattingly, J, A dimensionless number for understanding the evolutionary dynamics of antigenically variable RNA viruses, Proceedings of the Royal Society B: Biological Sciences, vol. 278 no. 1725 (2011), pp. 3723-3730, ISSN 0962-8452
  50. with Hairer, M; Mattingly, JC; Scheutzow, M, Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations, Probability Theory and Related Fields, vol. 149 no. 1 (2011), pp. 223-259, Springer Nature, ISSN 0178-8051
  51. with Anderson, DF; Mattingly, JC, A weak trapezoidal method for a class of stochastic differential equations, Communications in Mathematical Sciences, vol. 9 no. 1 (2011), pp. 301-318, International Press of Boston, ISSN 1539-6746
  52. with Hairer, M; Mattingly, JC, A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs, Electronic Journal of Probability, vol. 16 no. 23 (2011), pp. 658-738, Institute of Mathematical Statistics, ISSN 1083-6489
  53. Hairer, M; Mattingly, JC, Yet another look at Harris’ ergodic theorem for Markov chains, in Progress in Probability, vol. 63 (2011), pp. 109-117, Birkhäuser/Springer Basel AG, Basel
  54. with Heymann, M; Teitsworth, SW; Mattingly, JC, Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices (August, 2010)
  55. with Mattingly, JC; Pillai, NS; Stuart, AM, Diffusion limits of the random walk Metropolis algorithm in high dimensions, Annals of Applied Probability, vol. 22 no. 3 (March, 2010), pp. 881-930, Institute of Mathematical Statistics
  56. with Mattingly, JC; Stuart, AM; Tretyakov, MV, Convergence of numerical time-averaging and stationary measures via Poisson equations, SIAM Journal on Numerical Analysis, vol. 48 no. 2 (2010), pp. 552-577, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429
  57. Hairer, M; Mattingly, JC, Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2009), pp. 999-1032, WILEY, ISSN 0010-3640
  58. with Hairer, M; Mattingly, JC, Spectral gaps in wasserstein distances and the 2d stochastic navier-stokes equations, Annals of Probability, vol. 36 no. 6 (November, 2008), pp. 2050-2091, Institute of Mathematical Statistics
  59. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008)
  60. Mattingly, JC; Suidan, TM, Transition measures for the stochastic Burgers equation, in Integrable systems and random matrices, Contemp. Math., vol. 458 (2008), pp. 409-418, Amer. Math. Soc., Providence, RI, Providence, RI, ISSN 0271-4132, ISBN 9780821842409
  61. with Iyer, G; Mattingly, J, A stochastic-Lagrangian particle system for the Navier-Stokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537-2553, IOP Publishing, ISSN 0951-7715
  62. Anderson, DF; Mattingly, JC, Propagation of fluctuations in biochemical systems, II: Nonlinear chains., IET systems biology, vol. 1 no. 6 (November, 2007), pp. 313-325, Institution of Engineering and Technology (IET), ISSN 1751-8849
  63. Mattingly, JC; Suidan, T; Vanden-Eijnden, E, Simple systems with anomalous dissipation and energy cascade, Communications in Mathematical Physics, vol. 276 no. 1 (November, 2007), pp. 189-220, Springer Nature, ISSN 0010-3616
  64. Bakhtin, Y; Mattingly, JC, Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (August, 2007), pp. 307-353, Elsevier BV, ISSN 0022-1236
  65. Anderson, DF; Mattingly, JC; Nijhout, HF; Reed, MC, Propagation of fluctuations in biochemical systems, I: linear SSC networks., Bulletin of mathematical biology, vol. 69 no. 6 (August, 2007), pp. 1791-1813, Springer Nature, ISSN 0092-8240
  66. Lamba, H; Mattingly, JC; Stuart, AM, An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (January, 2007), pp. 479-506, Oxford University Press (OUP), ISSN 0272-4979
  67. Mattingly, JC; Suidan, TM; Vanden-Eijnden, E, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145-1152, Springer Nature, ISSN 0022-4715
  68. Nijhout, HF; Reed, MC; Anderson, DF; Mattingly, JC; James, SJ; Ulrich, CM, Erratum to H. Frederik Nijhout, et al. Epigenetics Volume 1, Issue 2; pp. 81-87., Epigenetics, vol. 1 no. 3 (July, 2006), pp. 115-115, Informa UK Limited, ISSN 1559-2294
  69. Mattingly, JC; Pardoux, É, Malliavin calculus for the stochastic 2D Navier-Stokes equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (2006), pp. 1742-1790, WILEY, ISSN 0010-3640
  70. Hairer, M; Mattingly, JC, Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing, Annals of Mathematics, vol. 164 no. 3 (2006), pp. 993-1032, Annals of Mathematics, Princeton U, ISSN 0003-486X
  71. Bakhtin, Y; Mattingly, JC, Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (October, 2005), pp. 553-582, World Scientific Pub Co Pte Lt, ISSN 0219-1997 (ISSN: 0219-1997.)
  72. Mattingly, JC; Suidan, TM, The small scales of the stochastic Navier-Stokes equations under rough forcing, Journal of Statistical Physics, vol. 118 no. 1-2 (January, 2005), pp. 343-364, Springer Nature, ISSN 0022-4715 (ISSN: 0022-4715.)
  73. Hairer, M; Mattingly, JC, Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 339 no. 12 (2004), pp. 879-882, Elsevier BV, ISSN 1631-073X (ISSN: 1631-073X.)
  74. Hairer, M; Mattingly, JC; Pardoux, É, Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 339 no. 11 (2004), pp. 793-796, Elsevier BV, ISSN 1631-073X
  75. Hairer, M; Mattingly, JC; Pardoux, E, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier–Stokes equation, arXiv preprint math/0409057 (2004)
  76. Mattingly, JC, On recent progress for the stochastic Navier Stokes equations, vol. XV (Summer, 2003), pp. Exp. No. XI-52, Univ. Nantes, Nantes (Held in Forges-les-Eaux, June 2--6, 2003, The papers are available electronically at \url{http://www.math.sciences.univ-nantes.fr/edpa}.)
  77. Mattingly, J. C., Contractivity and ergodicity of the random map {$x\mapsto\vert x-\theta\vert $}, Teor. Veroyatnost. i Primenen., vol. 47 no. 2 (2002), pp. 388--397
  78. Mattingly, JC; Stuart, AM, Geometric ergodicity of some hypo-elliptic diffusions for particle motions, Markov Processes and Related Fields, vol. 8 no. 2 (2002), pp. 199-214, ISSN 1024-2953 (Inhomogeneous random systems (Cergy-Pontoise, 2001).)
  79. Mattingly, JC, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Communications in Mathematical Physics, vol. 230 no. 3 (2002), pp. 421-462, ISSN 0010-3616
  80. Mattingly, JC, Contractivity and ergodicity of the random map $x\mapsto\vert x-θ\vert $, Rossi\u\i skaya Akademiya Nauk. Teoriya Veroyatnoste\u\i i ee Primeneniya, vol. 47 no. 2 (2002), pp. 388-397, Society for Industrial & Applied Mathematics (SIAM), ISSN 0040-585X
  81. Mattingly, JC; Stuart, AM; Higham, DJ, Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Processes and their Applications, vol. 101 no. 2 (2002), pp. 185-232, Elsevier BV, ISSN 0304-4149
  82. Mattingly, JC, The dissipative scale of the stochastics Navier-Stokes equation: regularization and analyticity, Journal of Statistical Physics, vol. 108 no. 5-6 (2002), pp. 1157-1179, ISSN 0022-4715 (Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.)
  83. Mattingly, JC, Contractivity and ergodicity of the random map $x\mapsto|x-\theta|$, Teoriya Veroyatnostei i ee Primeneniya, vol. 47 no. 2 (2002), pp. 388-397, Steklov Mathematical Institute
  84. E, W; Mattingly, JC, Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation, Communications on Pure and Applied Mathematics, vol. 54 no. 11 (2001), pp. 1386-1402, WILEY, ISSN 0010-3640
  85. E, W; Mattingly, JC; Sinai, Y, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Communications in Mathematical Physics, vol. 224 no. 1 (2001), pp. 83-106, ISSN 0010-3616 (Dedicated to Joel L. Lebowitz.)
  86. Holmes, PJ; Mattingly, JC; Wittenberg, RW, Low-Dimensional Models of Turbulence (2001), pp. 177-215, Springer Netherlands, ISBN 9780792369769
  87. Mattingly, JC, Ergodicity of $2$D Navier-Stokes equations with random forcing and large viscosity, Communications in Mathematical Physics, vol. 206 no. 2 (1999), pp. 273-288, Springer Nature, ISSN 0010-3616
  88. Mattingly, JC; Sinai, YG, An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations, Communications in Contemporary Mathematics, vol. 1 no. 4 (1999), pp. 497-516, World Scientific Pub Co Pte Lt
  89. Holmes, PJ; Lumley, JL; Berkooz, G; Mattingly, JC; Wittenberg, RW, Low-dimensional models of coherent structures in turbulence, Physics Report, vol. 287 no. 4 (January, 1997), pp. 337-384, Elsevier BV, ISSN 0370-1573
  90. Mattingly, Jonathan C., Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity, Comm. Math. Phys., vol. 206, no. 2, pp. 273--288, 1999
  91. Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998

Papers Submitted

  1. with Stephan Huckemann, Ezra Miller, James Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities (October, 2014)
  2. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014)
  3. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014)
  4. with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs (2014)
  5. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013)

Preprints

  1. Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation, Comptes rendus Mathematique (CRAS), In press (Summer, 2004)
Duke University * Arts & Sciences * Mathematics * April 19, 2024

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