Local limit theorems for hitting times and return times of small sets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911123296485376 |
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| author | Auer, Max Zweimüller, Roland |
| author_facet | Auer, Max Zweimüller, Roland |
| contents | We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamical systems, including versions for tuples of consecutive times and positions of the hits. These results are shown to apply in the setup of Gibbs-Markov systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14581 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local limit theorems for hitting times and return times of small sets Auer, Max Zweimüller, Roland Dynamical Systems 37A05, 60G10, 60F05, 37E05 We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamical systems, including versions for tuples of consecutive times and positions of the hits. These results are shown to apply in the setup of Gibbs-Markov systems. |
| title | Local limit theorems for hitting times and return times of small sets |
| topic | Dynamical Systems 37A05, 60G10, 60F05, 37E05 |
| url | https://arxiv.org/abs/2312.14581 |