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Publications of Jonathan C. Mattingly    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. NE Glatt-Holtz, JC Mattingly and G Richards, On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations, arxiv (December, 2015) [1512.04126v1]  [abs]
  2. JE Johndrow, JC Mattingly, S Mukherjee and D Dunson, Approximations of Markov Chains and Bayesian Inference, arxiv (August, 2015) [1508.03387v2]  [abs]
  3. DP Herzog and JC Mattingly, A practical criterion for positivity of transition densities, Nonlinearity, vol. 28 no. 8 (August, 2015), pp. 2823-2845, ISSN 0951-7715 [DukeSpace], [doi]
  4. S Luo and JC Mattingly, Scaling limits of a model for selection at two scales, arxiv (July, 2015) [1507.00397v1]  [abs]
  5. S Huckemann, J Mattingly, E Miller and J Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities, Electronic Journal of Probability, vol. 20 (January, 2015) [DukeSpace], [doi]
  6. DP Herzog and JC Mattingly, Noise-Induced Stabilization of Planar Flows II, Electronic Journal of Probability, vol. 20 (January, 2015) [DukeSpace], [doi]  [abs]
  7. SD Lawley, JC Mattingly and MC Reed, Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE, SIAM Journal on Mathematical Analysis, vol. 47 no. 4 (January, 2015), pp. 3035-3063, ISSN 0036-1410 [DukeSpace], [doi]
  8. JC Mattingly and E Pardoux, Invariant measure selection by noise. An example, Discrete and Continuous Dynamical Systems, vol. 34 no. 10 (2014), pp. 4223-4257, ISSN 1078-0947 [arXiv:1403.3593], [DukeSpace], [doi]  [abs]
  9. E Munch, K Turner, P Bendich, S Mukherjee, J Mattingly and J Harer, Probabilistic Fréchet Means for Time Varying Persistence Diagrams, arxiv (July, 2013) [1307.6530v3]  [abs]
  10. T Hotz, S Huckemann, H Le, JS Marron, JC Mattingly, E Miller, J Nolen, M Owen, V Patrangenaru and S Skwerer, Sticky central limit theorems on open books, The Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258, ISSN 1050-5164 [arXiv:1202.4267], [12-AAP899], [doi]  [abs]
  11. S Luo, M Reed, JC Mattingly and K Koelle, 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 [22572027], [doi]  [abs]
  12. with JC Mattingly, SA McKinley and NS Pillai, Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing, Stochastic Processes and their Applications, vol. 122 no. 12 (2012), pp. 3953-3979, ISSN 0304-4149 [MR2971721], [0902.4496], [DukeSpace], [doi]  [abs]
  13. with A Athreyaz, T Kolba and JC Mattingly, Propagating lyapunov functions to prove noise-induced stabilization, Electronic Journal of Probability, vol. 17 (November 2, 2012), pp. 1-38, ISSN 1083-6489 [math/111.1755], [DukeSpace], [doi]  [abs]
  14. A Porporato, PR Kramer, M Cassiani, E Daly and J Mattingly, 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 [22181122], [doi]  [abs]
  15. K Koelle, O Ratmann, DA Rasmussen, V Pasour and J Mattingly, 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 (May 4, 2011), pp. 3723-3730, ISSN 0962-8452 [DukeSpace], [doi]  [abs]
  16. with M Hairer, JC Mattingly and M Scheutzow, 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, ISSN 0178-8051 [MR2531551], [0902.4495], [DukeSpace], [doi]  [abs]
  17. with DF Anderson and JC Mattingly, A weak trapezoidal method for a class of stochastic differential equations, Communications in Mathematical Sciences, vol. 9 no. 1 (March, 2011), pp. 301-318, ISSN 1539-6746 [0906.3475], [DukeSpace]  [abs]
  18. with M Hairer and JC Mattingly, A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs, Electronic Journal of Probability, vol. 16 no. 23 (2011), pp. 658-738, ISSN 1083-6489 [arXiv:0808.1361], [DukeSpace]  [abs]
  19. with JC Mattingly, NS Pillai and AM Stuart, Diffusion limits of the random walk Metropolis algorithm in high dimensions, Annals of Applied Probability, vol. 22 no. 3 (June, 2011), pp. 881-930 [1003.4306], [1003.4306v4], [doi]  [abs]
  20. with JC Mattingly, AM Stuart and MV Tretyakov, Convergence of numerical time-averaging and stationary measures via Poisson equations, SIAM Journal on Numerical Analysis, vol. 48 no. 2 (2010), pp. 552-577, ISSN 0036-1429 [MR2669996], [0908.4450], [DukeSpace], [doi]  [abs]
  21. M Hairer and JC Mattingly, Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2008), pp. 999-1032, ISSN 0010-3640 [MR2531551], [arXiv:0712.3884], [doi]  [abs]
  22. M Hairer and JC Mattingly, Yet another look at Harris' ergodic theorem for Markov chains, arxiv (October, 2008) [0810.2777v1]  [abs]
  23. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777]  [abs]
  24. JC Mattingly and TM Suidan, Transition measures for the stochastic Burgers equation, in Integrable systems and random matrices, Contemp. Math., INTEGRABLE SYSTEMS AND RANDOM MATRICES: IN HONOR OF PERCY DEIFT, vol. 458 (2008), pp. 409-418, Amer. Math. Soc., Providence, RI, ISSN 0271-4132, ISBN 978-0-8218-4240-9 [MR2411921], [Gateway.cgi]
  25. with G Iyer and J Mattingly, A stochastic-Lagrangian particle system for the Navier-Stokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537-2553, ISSN 0951-7715 [MR2448230 (2009h:76060)], [arXiv:0803.1222], [doi]  [abs]
  26. with Martin Hairer, Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations, Annals of Probability no. 6 (2008), pp. 993-1032 [MR2478676], [math.PR/0602479]  [abs]
  27. JC Mattingly and DF Anderson, Propagation of fluctuations in biochemical systems, II: nonlinear chains, IET Systems Biology, vol. 1 no. 6 (November, 2007), pp. 313-325, ISSN 1751-8849 [DukeSpace], [doi]
  28. DF Anderson, JC Mattingly, HF Nijhout and MC Reed, Propagation of fluctuations in biochemical systems, I: linear SSC networks., Bull Math Biol, vol. 69 no. 6 (August, 2007), pp. 1791-1813, ISSN 0092-8240 [MR2329180], [17457656], [doi]  [abs]
  29. H Lamba, JC Mattingly and AM Stuart, An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (2007), pp. 479-506, ISSN 0272-4979 [MR2337577], [math.PR/0409057]], [doi]  [abs] [author's comments]
  30. JC Mattingly, T Suidan and E Vanden-Eijnden, Simple systems with anomalous dissipation and energy cascade, Communications in Mathematical Physics, vol. 276 no. 1 (2007), pp. 189-220, ISSN 0010-3616 [MR2342292 (2008m:37135)], [math-ph/0607047], [doi]  [abs]
  31. Y Bakhtin and JC Mattingly, Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (2007), pp. 307-353, ISSN 0022-1236 [MR2345335], [math.PR/0610754], [doi]  [abs]
  32. JC Mattingly, TM Suidan and E Vanden-Eijnden, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145-1152, ISSN 0022-4715 [MR2348788], [math-ph/0607047], [doi]  [abs]
  33. HF Nijhout, MC Reed, DF Anderson, JC Mattingly, SJ James and CM Ulrich, Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate., Epigenetics, vol. 1 no. 2 (April/May 2006), pp. 81-87, ISSN 1559-2294 [17998813]  [abs]
  34. JC Mattingly and É Pardoux, Malliavin calculus for the stochastic 2D Navier-Stokes equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (December, 2006), pp. 1742-1790, ISSN 0010-3640 [math.PR/0407215], [doi]  [abs]
  35. M Hairer and JC Mattingly, Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing, Annals of Mathematics, vol. 164 no. 3 (November, 2006), pp. 993-1032, ISSN 0003-486X [math.PR/0406087]  [abs]
  36. JC Mattingly and TM Suidan, 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, ISSN 0022-4715 (ISSN: 0022-4715.) [MR2122959], [math-ph/0408060], [Gateway.cgi], [doi]  [abs]
  37. Y Bakhtin and JC Mattingly, Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (2005), pp. 553-582, World Scientific, ISSN 0219-1997 (ISSN: 0219-1997.) [MR2175090], [math.PR/0509166], [doi]  [abs]
  38. M Hairer and JC Mattingly, Ergodic properties of highly degenerate 2D stochastic Navier–Stokes equations, Comptes Rendus Mathematique, vol. 339 no. 12 (December, 2004), pp. 879-882, ISSN 1631-073X (ISSN: 1631-073X.) [MR2111726], [doi]
  39. M Hairer, JC Mattingly and É Pardoux, Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations, Comptes Rendus Mathematique, vol. 339 no. 11 (December, 2004), pp. 793-796, ISSN 1631-073X [MR2110383], [doi]
  40. M Hairer, JC Mattingly and E Pardoux, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation, arxiv (September, 2004) [0409057v1]  [abs]
  41. JC Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations, Journées "Équations aux Dérivées Partielles", vol. XV (Summer, 2003), pp. viii+298, Universit\'e de 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}.) [MR2050586(2004j:00022)], [pdf]  [abs]
  42. JC Mattingly, Contractivity and Ergodicity of the Random Map $\boldsymbol{\lowercase{x\,\mapsto\,|x-\theta|}}$, Theory of Probability and Its Applications, vol. 47 no. 2 (2003), pp. 333-333, ISSN 0040-585X [DukeSpace], [doi]
  43. JC Mattingly, The dissipative scale of the stochastics Navier-Stokes equation: Regularization and analyticity, Journal of Statistical Physics, vol. 108 no. 5-6 (December, 2002), pp. 1157-1179, ISSN 0022-4715 (Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.) [MR2004e:76035], [pdf], [doi]  [abs]
  44. JC Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Communications in Mathematical Physics, vol. 230 no. 3 (November, 2002), pp. 421-462, ISSN 0010-3616 [MR2004a:76039], [pdf], [doi]  [abs]
  45. JC Mattingly, AM Stuart and DJ Higham, Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Processes and their Applications, vol. 101 no. 2 (October, 2002), pp. 185-232, ISSN 0304-4149 [MR2003i:60103], [pdf], [doi]  [abs]
  46. 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 [MR2004f:60148], [pdf]  [abs] [author's comments]
  47. JC Mattingly and AM Stuart, 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).) [MR2003g:60101], [pdf]  [abs]
  48. W E and JC Mattingly, Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite-dimensional approximation, Communications on Pure and Applied Mathematics, vol. 54 no. 11 (November, 2001), pp. 1386-1402, ISSN 0010-3640 [MR2002g:76075], [pdf], [doi]  [abs]
  49. W E, JC Mattingly and Y Sinai, Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation, Communications in Mathematical Physics, vol. 224 no. 1 (November, 2001), pp. 83-106, ISSN 0010-3616 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf], [doi]
  50. PJ Holmes, JC Mattingly and RW Wittenberg, Low-dimensional models of turbulence or, The dynamics of coherent structures, in From finite to infinite dimensional dynamical systems (Cambridge, 1995), manual, vol. 19 (2001), pp. 177-215, Kluwer Acad. Publ., Dordrecht [MR2004h:76106], [978-94-010-0732-0_7], [doi]
  51. JC Mattingly, Ergodicity of 2D Navier-Stokes Equations with¶Random Forcing and Large Viscosity, Communications in Mathematical Physics, vol. 206 no. 2 (October, 1999), pp. 273-288, ISSN 0010-3616 [doi]
  52. JC Mattingly and YG Sinai, 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 [MR2000j:35226], [DukeSpace]  [abs]
  53. PJ Holmes, JL Lumley, G Berkooz, JC Mattingly and RW Wittenberg, Low-dimensional models of coherent structures in turbulence, Physics Reports, vol. 287 no. 4 (August, 1997), pp. 337-384, ISSN 0370-1573 [MR98j:76065], [pdf], [doi]
  54. 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 [MR2000k:76040], [pdf]
  55. Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998 [ps]

Papers Submitted

  1. with Y Bakhtin, T Hurth and JC Mattingly, Regularity of invariant densities for 1D systems with random switching, Nonlinearity, vol. 28 no. 11 (October, 2015), pp. 3755-3787, ISSN 0951-7715 [arXiv:1406.5425], [DukeSpace], [doi]  [abs]
  2. with Stephan Huckemann, Ezra Miller, James Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities (October, 2014) [arXiv:1410.6879]  [abs]
  3. with David P. Herzog, Noise-Induced Stabilization of Planar Flows II (April, 2014) [arXiv:1404.0955]
  4. with David P. Herzog, Noise-Induced Stabilization of Planar Flows I (April, 2014) [arXiv:1404.0957]
  5. with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs (2014) [arXiv:1407.2264]  [abs]
  6. with SD Lawley, JC Mattingly and MC Reed, Sensitivity to switching rates in stochastically switched odes, Communications in Mathematical Sciences, vol. 12 no. 7 (2014), pp. 1343-1352, ISSN 1539-6746 [arXiv:1310.2525], [DukeSpace], [doi]  [abs]
  7. Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer, Probabilistic Fréchet Means and Statistics on Vineyards (2013) [arXiv:1307.6530]  [abs]
  8. with M Heymann, SW Teitsworth and JC Mattingly, Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices, arxiv (August, 2010) [1008.4037], [1008.4037v2]  [abs]

Preprints

  1. with JC Mattingly and C Vaughn, Redistricting and the Will of the People, arxiv (October, 2014) [1410.8796v1]  [abs]
  2. 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) [math.PR/0409057]  [abs] [author's comments]

 

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