# Exponential mixing for a class of dissipative PDEs with bounded degenerate noise

@article{Kuksin2018ExponentialMF, title={Exponential mixing for a class of dissipative PDEs with bounded degenerate noise}, author={Sergei B. Kuksin and Vahagn Nersesyan and Armen Shirikyan}, journal={Geometric and Functional Analysis}, year={2018}, volume={30}, pages={126-187} }

We study a class of discrete-time random dynamical systems with compact phase space. Assuming that the deterministic counterpart of the system in question possesses a dissipation property, its linearisation is approximately controllable, and the driving noise is bounded and has a decomposable structure, we prove that the corresponding family of Markov processes has a unique stationary measure, which is exponentially mixing in the dual-Lipschitz metric. The abstract result is applicable to… CONTINUE READING

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