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arXiv · 2007.07616

Loss of memory and moment bounds for nonstationary intermittent dynamical systems

Alexey Korepanov·Juho Leppänen
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Abstract

We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau-Manneville maps. We prove two main results: sharp bounds on memory loss, including the "unexpected" faster rate for a large class of measures, and sharp moment bounds for Birkhoff sums and, more generally, "separately H\"older" observables.

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Alexey Korepanov, Juho Leppänen. 2020-07-15. Loss of memory and moment bounds for nonstationary intermittent dynamical systems. https://doi.org/10.1007/s00220-021-04071-5

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