Exponential mixing properties of stochastic PDEs through asymptotic coupling

@article{Hairer2001ExponentialMP,
  title={Exponential mixing properties of stochastic PDEs through asymptotic coupling},
  author={Martin Hairer},
  journal={Probability Theory and Related Fields},
  year={2001},
  volume={124},
  pages={345-380}
}
  • Martin Hairer
  • Published 2001
  • Mathematics, Physics
  • 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. 

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