22 citations · 116 across the 14 of their papers we have counts for
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math.DS2017★ 22 cited
Multiscale systems, homogenization, and rough paths
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +2
In recent years, substantial progress was made towards understanding convergence of fast-slow deterministic systems to stochastic differential equations. In contrast to more classi…
math.DS2017★ 19 cited
Rates in almost sure invariance principle for dynamical systems with some hyperbolicity
Alexey Korepanov
We prove the almost sure invariance principle with rate for every for Hölder continuous observables on nonuniformly expanding and nonuniforml…
math.DS2017★ 20 cited
Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
Alexey Korepanov
Let be a nonuniformly expanding dynamical system, such as logistic or intermittent map. Let be an observable and $v_n = \sum_{k=0}^…