Local large deviations for periodic infinite horizon Lorentz gases
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866911949588004864 |
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| author | Melbourne, Ian Pene, Francoise Terhesiu, Dalia |
| author_facet | Melbourne, Ian Pene, Francoise Terhesiu, Dalia |
| contents | We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a ${\mathbb Z}^d$-cover ($d=1,2$) of a dispersing billiard. In addition to this specific example, we prove a general result for a class of nonuniformly hyperbolic dynamical systems and observables associated with central limit theorems with nonstandard normalisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_13748 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Local large deviations for periodic infinite horizon Lorentz gases Melbourne, Ian Pene, Francoise Terhesiu, Dalia Dynamical Systems We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a ${\mathbb Z}^d$-cover ($d=1,2$) of a dispersing billiard. In addition to this specific example, we prove a general result for a class of nonuniformly hyperbolic dynamical systems and observables associated with central limit theorems with nonstandard normalisation. |
| title | Local large deviations for periodic infinite horizon Lorentz gases |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2108.13748 |