Jonathan C. Mattingly

Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise

Jonathan C. Mattingly, Andrew M. Stuart, Desmond J. Higham · Stochastic Processes and their Applications · 2002 · 542 citations · Full text

Engineering, Entropy, Stochastic Processes +8

Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing

Martin Hairer, Jonathan C. Mattingly · Annals of Mathematics · 2006 · 530 citations · Full text

Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

Martin Hairer, Jonathan C. Mattingly, Michael Scheutzow · Probability Theory and Related Fields · 2009 · 266 citations · Full text

Engineering, Asymptotic Coupling, Stochastic Processes +9

Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation

E Weinan, Jonathan C. Mattingly, Ya. G. Sinaǐ · Communications in Mathematical Physics · 2001 · 220 citations

Engineering, Fluid Mechanics, Stochastic Processes +6

Low-dimensional models of coherent structures in turbulence

Philip Holmes, John L. Lumley, Gal Berkooz et al. · Physics Reports · 1997 · 206 citations · Full text