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

Papers Published

1. DP Herzog and JC Mattingly, Noise-induced stabilization of planar flows ii, Electronic Journal of Probability, vol. 20 (October, 2015) [doi]  [abs]
2. 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 [doi]
3. S Huckemann, J Mattingly, E Miller and J Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities, Electronic Journal of Probability, vol. 20 (July, 2015) [doi]
4. 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 [doi]
5. Jonathan C. Mattingly and Etienne 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], [doi]  [abs]
6. Thomas Hotz, Sean Skwerer, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, Ezra Miller, James Nolen, Megan Owen, Vic Patrangenaru, Sticky central limit theorems on open books, The Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258, ISSN 1050-5164 [arXiv:1202.4267], [12-AAP899], [doi]  [abs]
7. with Avanti Athreya, Tiffany Kolba, 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], [2410], [doi]  [abs]
8. 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]
9. with Mattingly, Jonathan C. and McKinley, Scott A. and Pillai, Natesh S., 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], [doi]  [abs]
10. A. Porporato, P. R. Kramer, M. Cassiani, E. Daly, 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]
11. with Natesh S. Pillai, Andrew M. Stuart, Diffusion Limits of the Random Walk Metropolis Algorithm in High Dimensions, Annals of Applied Probability (June, 2011) [1003.4306]  [abs]
12. Katia Koelle, Oliver Ratmann, David Rasmussen, Virginia Pasour, Jonathan 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 [doi]  [abs]
13. with David Anderson, 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]  [abs]
14. with Martin Hairer, Michael 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], [doi]  [abs]
15. with Martin Hairer, 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], [getdoc.php]  [abs]
16. with Mattingly, Jonathan C. and Stuart, Andrew M. and Tretyakov, M. V., 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], [090770527], [doi]  [abs]
17. Hairer, Martin and Mattingly, Jonathan C., 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]
18. with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008) [arXiv:0810.2777]  [abs]
19. Mattingly, Jonathan C. and Suidan, Toufic M., 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 [MR2411921], [Gateway.cgi]
20. with Iyer, Gautam and Mattingly, Jonathan, 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]
21. 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]
22. David Anderson and Jonathan C. Mattingly, Propagation of fluctuations in biochemical systems, II: nonlinear chains, IET Systems Biology, vol. 1 no. 6 (November, 2007), pp. 313-325, ISSN 1751-8849 [doi]
23. Anderson, David F. and Mattingly, Jonathan C. and Nijhout, H. Frederik and Reed, Michael C., 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]
24. Lamba, H. and Mattingly, J. C. and Stuart, A. M., 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]
25. Mattingly, Jonathan C. and Suidan, Toufic and Vanden-Eijnden, Eric, 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]
26. Bakhtin, Yuri and Mattingly, Jonathan C., 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]
27. Mattingly, Jonathan C. and Suidan, Toufic M. and Vanden-Eijnden, Eric, 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]
28. Jonathan C. Mattingly, Etienne 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]
29. Martin Hairer, J.C. 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]
30. Mattingly, Jonathan C. and Suidan, Toufic M., 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]
31. Bakhtin, Yuri and Mattingly, Jonathan C., 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]
32. Hairer, Martin and Mattingly, Jonathan C., 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]
33. Martin Hairer, Jonathan C. Mattingly and Étienne 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]
34. J.C. 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]
35. 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 [doi]
36. Mattingly, Jonathan C., 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]
37. J.C. 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]
38. Mattingly, J. C. and Stuart, A. M. and Higham, D. J., 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]
39. 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]
40. Mattingly, J. C. and Stuart, A. M., 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]
41. E, Weinan and Mattingly, Jonathan C., 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]
42. W. E, J.C. Mattingly, Ya 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]
43. Holmes, P. J. and Mattingly, J. C. and Wittenberg, R. W., Low-dimensional models of turbulence or, The dynamics of coherent structures, in From finite to infinite dimensional dynamical systems (Cambridge, 1995), From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19, pp. 177--215, 2001, Kluwer Acad. Publ., Dordrecht, From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19 (2001), pp. 177-215, Kluwer Acad. Publ., Dordrecht [MR2004h:76106], [978-94-010-0732-0_7], [doi]
44. 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]
45. Mattingly, J. C. and Sinai, Ya. G., 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], [pdf]  [abs]
46. Holmes, Philip J. and Lumley, John L. and Berkooz, Gal and Mattingly, Jonathan C. and Wittenberg, Ralf W., 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]
47. 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]
48. Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998 [ps]

Papers Submitted

1. with Yuri Bakhtin, Tobias Hurth, 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], [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 Sean D. Lawley and Michael C. 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], [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 Matthias Heymann, Stephen W. Teitsworth, Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices (2010) [1008.4037]  [abs]

Preprints

1. with Christy Vaughn, Redistricting and the Will of the People (October, 2014) [pdf]  [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]

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