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math.PR2004★ 3 cited
Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation
Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux
The objective of this note is to present the results from the two recent papers. We study the Navier--Stokes equation on the two--dimensional torus when forced by a finite dimensio…
math.PR2003
Ergodicity of Stochastic Differential Equations Driven by Fractional Brownian Motion
Martin Hairer
We study the ergodic properties of finite-dimensional systems of SDEs driven by non-degenerate additive fractional Brownian motion with arbitrary Hurst parameter . A gen…
math.PR2001
Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling
Martin Hairer
We consider parabolic stochastic partial differential equations driven by white noise in time. We prove exponential convergence of the transition probabilities towards a unique inv…