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math.PR2023
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…
math.PR2022
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…