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Rates of mixing for non-Markov infinite measure semiflows

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Bruin, Henk, Melbourne, Ian and Terhesiu, Dalia (2019) Rates of mixing for non-Markov infinite measure semiflows. Transactions of the American Mathematical Society, 371 . pp. 7343-7386. doi:10.1090/tran/7582

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Official URL: https://doi.org/10.1090/tran/7582

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Abstract

We develop an abstract framework for obtaining optimal rates of mixing and higher order asymptotics for infinite measure semiflows. Previously, such results were restricted to the situation where there is a first return Poincaré map that is uniformly expanding and Markov. As illustrations of the method, we consider semiflows over non-Markov Pomeau-Manneville intermittent maps with infinite measure, and we also obtain mixing rates for semiflows over Collet-Eckmann maps with nonintegrable roof function.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Flows (Differentiable dynamical systems), Anosov flows
Journal or Publication Title: Transactions of the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9947
Official Date: 2019
Dates:
DateEvent
2019Published
24 October 2018Available
28 March 2018Accepted
Volume: 371
Page Range: pp. 7343-7386
DOI: 10.1090/tran/7582
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: “First published in Transactions of the American Mathematical Society in [volume/issue number and year], published by the American Mathematical Society,” and the copyright notice in proper form must be placed on all copies.
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: © Copyright 2018 American Mathematical Society
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
AdG 320977European Research Councilhttp://viaf.org/viaf/130022607
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