bounded noise 1exponential mixing 1infinite-dimensional systems 1mixing 1primitive equations 1random dynamical systems 1
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math.PR2025
Markovian reduction and exponential mixing in total variation for random dynamical systems
Sergei Kuksin, Armen Shirikyan
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimen…
math.PR2024
Averaging for stochastic perturbations of integrable systems
Guan Huang, Sergei Kuksin, Andrey Piatnitski
We are concerned with averaging theorems for -small stochastic perturbations of integrable equations in $$ \dot I(t) =0,\quad \do…