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Local large deviations for periodic infinite horizon Lorentz gases
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Melbourne, Ian, Pene, Francoise and Terhesiu, Dalia (2023) Local large deviations for periodic infinite horizon Lorentz gases. Journal d'Analyse Mathematique . doi:10.1007/s11854-023-0296-x ISSN 0021-7670. (In Press)
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Official URL: https://doi.org/10.1007/s11854-023-0296-x
Abstract
We prove optimal local large deviations for the periodic infinite horizon Lorentz gas viewed as a ℤd-cover (d = 1,2) of a dispersing billiard. In addition to this specific example, we prove a general result for a class of nonuni-formly hyperbolic dynamical systems and observables associated with central limit theorems with nonstandard normalisation.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Journal d'Analyse Mathematique | ||||||
Publisher: | Springer | ||||||
ISSN: | 0021-7670 | ||||||
Official Date: | 30 August 2023 | ||||||
Dates: |
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DOI: | 10.1007/s11854-023-0296-x | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | In Press | ||||||
Re-use Statement: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/[insert DOI] | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 26 August 2022 | ||||||
Date of first compliant Open Access: | 25 October 2023 | ||||||
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