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}
}
  • Sergei B. Kuksin, Vahagn Nersesyan, Armen Shirikyan
  • Published 2018
  • Mathematics, Physics
  • Geometric and Functional Analysis
  • 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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