Loss of memory and moment bounds for nonstationary intermittent dynamical systems

Autor:	Korepanov, Alexey, Leppänen, Juho
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Probability
Druh dokumentu:	Working Paper
DOI:	10.1007/s00220-021-04071-5
Popis:	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. Comment: 28 pages. v2: Incorporated referee suggestions. To appear in Communications in Mathematical Physics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.07616 Zobrazit plný text záznamu View this record from Arxiv