Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We consider parabolic stochastic partial differential equations driven by white noise in time. We prove exponential convergence of the transition probabilities towards a unique invariant measure under suitable conditions. These conditions amount essentially to the fact that the equation transmits the noise to all its determining modes. Several examples are investigated, including some where the noise does not act on every determining mode directly.
Keywords
Cite
@article{arxiv.math/0109115,
title = {Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling},
author = {Martin Hairer},
journal= {arXiv preprint arXiv:math/0109115},
year = {2007}
}
Comments
41 pages