33 citations · 133 across the 20 of their papers we have counts for
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math.PR2020★ 3 cited
Long Time Influence of Small Perturbations and Motion on the Simplex of Invariant Probability Measures
Mark Freidlin
A general approach to a broad class of asymptotic problems related to long-time influence of small perturbations, of both deterministic and stochastic type, is presented in the pap…
math.PR2020★ 2 cited
Diffusion approximation for noise-induced evolution of first integrals in multifrequency systems
M. I. Freidlin, A. D. Wentzell
We consider fast oscillating perturbations of dynamical systems in regions where one can introduce action-angle type coordinates. In an appropriate time scale, a diffusion approxim…
math.PR2020
Averaging in the case of multiple invariant measures for the fast system
Mark Freidlin, Leonid Koralov
We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the…