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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
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 | ||||||||
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| 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: |
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| 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: |
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