Jonathan C. Mattingly
Jonathan C. Mattingly
Professor of Mathematics and Statistical Science, Duke University
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Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise
JC Mattingly, AM Stuart, DJ Higham
Stochastic processes and their applications 101 (2), 185-232, 2002
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
M Hairer, JC Mattingly
Annals of Mathematics, 993-1032, 2006
Yet another look at Harris’ ergodic theorem for Markov chains
M Hairer, JC Mattingly
Seminar on Stochastic Analysis, Random Fields and Applications VI, 109-117, 2011
Low-dimensional models of coherent structures in turbulence
PJ Holmes, JL Lumley, G Berkooz, JC Mattingly, RW Wittenberg
Physics Reports 287 (4), 337-384, 1997
Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations
M Hairer, JC Mattingly, M Scheutzow
Probability theory and related fields 149 (1), 223-259, 2011
Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
JC Mattingly
Communications in mathematical physics 230 (3), 421-462, 2002
Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
M Hairer, JC Mattingly
The Annals of Probability 36 (6), 2050-2091, 2008
Convergence of numerical time-averaging and stationary measures via Poisson equations
JC Mattingly, AM Stuart, MV Tretyakov
SIAM Journal on Numerical Analysis 48 (2), 552-577, 2010
Gibbsian Dynamics and Ergodicity for the Stochastically Forced Navier–Stokes Equation
E Weinan, JC Mattingly, Y Sinai
Communications in Mathematical Physics 224 (1), 83-106, 2001
Ergodicity of 2D Navier–Stokes Equations with¶ Random Forcing and Large Viscosity
JC Mattingly
Communications in mathematical physics 206 (2), 273-288, 1999
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
M Hairer, J Mattingly
Electronic Journal of Probability 16, 658-738, 2011
Diffusion limits of the random walk Metropolis algorithm in high dimensions
JC Mattingly, NS Pillai, AM Stuart
The Annals of Applied Probability 22 (3), 881-930, 2012
An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations
JC Mattingly, YG Sinai
arXiv preprint math/9903042, 1999
Malliavin calculus for the stochastic 2D Navier—Stokes equation
JC Mattingly, É Pardoux
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2006
Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate
HF Nijhout, MC Reed, DF Anderson, JC Mattingly, SJ James, CM Ulrich
Epigenetics 1 (2), 81-87, 2006
An adaptive Euler-Maruyama scheme for SDEs: convergence and stability
H Lamba, JC Mattingly, AM Stuart
IMA Journal of Numerical Analysis 27 (3), 479–506, 2007
Geometric ergodicity of some hypo-elliptic diffusions for particle motions
JC Mattingly, AM Stuart
Markov Processes and Related Fields 8 (2), 199-214, 2002
Sticky central limit theorems on open books
T Hotz, S Skwerer, S Huckemann, H Le, JS Marron, JC Mattingly, E Miller, ...
The Annals of Applied Probability 23 (6), 2238-2258, 2013
The strong Feller property for singular stochastic PDEs
M Hairer, J Mattingly
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 54 (3 …, 2018
Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation.
W E, JC Mattingly
Communications on Pure and Applied Mathematics 54 (11), 1386--1402, 2001
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