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math.AP2018
Controllability implies mixing II. Convergence in the dual-Lipschitz metric
Armen Shirikyan
This paper continues our study of the interconnection between controllability and mixing properties of random dynamical systems. We begin with an abstract result showing that the a…
math.AP2018★ 48 cited
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise
Sergei Kuksin, Vahagn Nersesyan, Armen Shirikyan
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 p…