Stable large deviations for deterministic dynamical systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911919353364480 |
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| author | Imbierski, Jonny Terhesiu, Dalia |
| author_facet | Imbierski, Jonny Terhesiu, Dalia |
| contents | We obtain large deviations for a class of dependent random variables in the domain of attraction of an $α$-stable law, $α\in (0, 1)\cup (1, 2]$. This class includes ergodic sums of observables in the domain of attraction of an $α$-stable law driven by Gibbs-Markov maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_05636 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stable large deviations for deterministic dynamical systems Imbierski, Jonny Terhesiu, Dalia Probability Dynamical Systems We obtain large deviations for a class of dependent random variables in the domain of attraction of an $α$-stable law, $α\in (0, 1)\cup (1, 2]$. This class includes ergodic sums of observables in the domain of attraction of an $α$-stable law driven by Gibbs-Markov maps. |
| title | Stable large deviations for deterministic dynamical systems |
| topic | Probability Dynamical Systems |
| url | https://arxiv.org/abs/2209.05636 |