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Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards
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Bruin, Henk, Melbourne, Ian and Terhesiu, Dalia (2021) Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards. Annales Henri Lebesgue, 4 . pp. 407-451. doi:10.5802/ahl.76
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Official URL: https://doi.org/10.5802/ahl.76
Abstract
Gouëzel and Sarig introduced operator renewal theory as a method to prove sharp results on polynomial decay of correlations for certain classes of nonuniformly expanding maps. In this paper, we apply the method to planar dispersing billiards and multidimensional nonMarkovian intermittent maps.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Linear operators, Operator algebras, Hyperbolic groups, Dynamics, Billiards | |||||||||
Journal or Publication Title: | Annales Henri Lebesgue | |||||||||
Publisher: | Centre Mersenne | |||||||||
Official Date: | 27 May 2021 | |||||||||
Dates: |
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Volume: | 4 | |||||||||
Page Range: | pp. 407-451 | |||||||||
DOI: | 10.5802/ahl.76 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Date of first compliant deposit: | 25 November 2019 | |||||||||
Date of first compliant Open Access: | 7 July 2021 | |||||||||
RIOXX Funder/Project Grant: |
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