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Renewal theorems and mixing for non Markov flows with infinite measure
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Melbourne, Ian and Terhesiu, Dalia (2020) Renewal theorems and mixing for non Markov flows with infinite measure. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 56 (1). pp. 449-476. doi:10.1214/19-AIHP968 ISSN 0246-0203.
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Official URL: https://doi.org/10.1214/19-AIHP968
Abstract
We obtain results on mixing for a large class of (not necessarily Markov) infinite measure semiflows and flows. Erickson proved, amongst other things, a strong renewal theorem in the corresponding i.i.d. setting. Using operator renewal theory, we extend Erickson’s methods to the deterministic (i.e. non-i.i.d.) continuous time setting and obtain results on mixing as a consequence.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics T Technology > T Technology (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Renewal theory, Markov processes, Processes, Infinite | |||||||||
Journal or Publication Title: | Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques | |||||||||
Publisher: | Institute Henri Poincaré | |||||||||
ISSN: | 0246-0203 | |||||||||
Official Date: | 1 February 2020 | |||||||||
Dates: |
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Volume: | 56 | |||||||||
Number: | 1 | |||||||||
Page Range: | pp. 449-476 | |||||||||
DOI: | 10.1214/19-AIHP968 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Date of first compliant deposit: | 13 February 2019 | |||||||||
Date of first compliant Open Access: | 19 February 2021 | |||||||||
RIOXX Funder/Project Grant: |
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