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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.PR2025
Mixing for dynamical systems driven by stationary noises
Sergei Kuksin, Armen Shirikyan
The paper deals with the problem of long-time asymptotic behaviour of solutions for classes of ODEs and PDEs, perturbed by stationary noises. The latter are not assumed to be -c…