688 citations · 2.4k across the 52 of their papers we have counts for
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Superdiffusive limits for deterministic fast-slow dynamical systems
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +1
We consider deterministic fast-slow dynamical systems on of the form \[ \begin{cases} x_{k+1}^{(n)} = x_k^{(n)} + n^{-1} a(x_k^{(n)}) + n^{-1/α} b(x_k^{(n)})…
Sharp Statistical Properties for a Family of Multidimensional NonMarkovian Nonconformal Intermittent Maps
Peyman Eslami, Ian Melbourne, Sandro Vaienti
Intermittent maps of Pomeau-Manneville type are well-studied in one-dimension, and also in higher dimensions if the map happens to be Markov. In general, the nonconformality of mul…
Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 2
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +2
We consider deterministic homogenization for discrete-time fast-slow systems of the form …
Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas
Mark Demers, Ian Melbourne, Matthew Nicol
In this paper, we show how the Gordin martingale approximation method fits into the anisotropic Banach space framework. In particular, for the time-one map of a finite horizon plan…