48 citations · 180 across the 33 of their papers we have counts for
41 papers
Long-time behaviour of dynamical systems driven by bounded mixing noises
Peng Gao, Sergei Kuksin
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are reduced to…
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…
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 \dot…
Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation
Peng Gao, Sergei Kuksin
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law which provides an asymptotic expansion for the third moment o…
Averaging and mixing for stochastic perturbations of linear conservative systems
Guan Huang, Sergei Kuksin
We study stochastic perturbations of linear systems of the form where is a linear operator with n…
On averaging and mixing for stochastic PDEs
Guan Huang, Sergei Kuksin
We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effe…