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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
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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 | |||||||||
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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 | |||||||||
| RIOXX Funder/Project Grant: |
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