The central limit theorem and rate of mixing for simple random walks on the circle
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913441345699840 |
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| author | Czudek, Klaudiusz Dolgopyat, Dmitry |
| author_facet | Czudek, Klaudiusz Dolgopyat, Dmitry |
| contents | We prove the Central Limit Theorem and superpolynomial mixing for environment viewed for the particle process in quasi periodic Diophantine random environment. The main ingredients are smoothness estimates for the solution of the Poisson equation and local limit asymptotics for certain accelerated walks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The central limit theorem and rate of mixing for simple random walks on the circle Czudek, Klaudiusz Dolgopyat, Dmitry Dynamical Systems Probability We prove the Central Limit Theorem and superpolynomial mixing for environment viewed for the particle process in quasi periodic Diophantine random environment. The main ingredients are smoothness estimates for the solution of the Poisson equation and local limit asymptotics for certain accelerated walks. |
| title | The central limit theorem and rate of mixing for simple random walks on the circle |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2404.11700 |