Back to Boundaries in Billiards
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917626139115520 |
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| author | Bunimovich, Leonid Su, Yaofeng |
| author_facet | Bunimovich, Leonid Su, Yaofeng |
| contents | We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_00785 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Back to Boundaries in Billiards Bunimovich, Leonid Su, Yaofeng Dynamical Systems Mathematical Physics Probability We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered. |
| title | Back to Boundaries in Billiards |
| topic | Dynamical Systems Mathematical Physics Probability |
| url | https://arxiv.org/abs/2203.00785 |