Loss of memory and moment bounds for nonstationary intermittent dynamical systems
Dynamical Systems
2021-04-21 v2 Probability
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.
Keywords
Cite
@article{arxiv.2007.07616,
title = {Loss of memory and moment bounds for nonstationary intermittent dynamical systems},
author = {Alexey Korepanov and Juho Leppänen},
journal= {arXiv preprint arXiv:2007.07616},
year = {2021}
}
Comments
28 pages. v2: Incorporated referee suggestions. To appear in Communications in Mathematical Physics