Aperiodic points for outer billiards
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914526592499712 |
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| author | Belyi, Anton Kanel-Belov, Alexei Rukhovich, Philipp Timorin, Vladlen |
| author_facet | Belyi, Anton Kanel-Belov, Alexei Rukhovich, Philipp Timorin, Vladlen |
| contents | Euclidean outer billiard on a regular polygon (that is not a triangle, square or a hexagon) has aperiodic points, i.e., points where all iterates of the outer billiard map are defined and yield pairwise distinct images. This result answers a question of R. Schwartz posed at ICM 2022. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09643 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Aperiodic points for outer billiards Belyi, Anton Kanel-Belov, Alexei Rukhovich, Philipp Timorin, Vladlen Dynamical Systems Metric Geometry 37C83 (Primary), 37E30, 37B52, 37E05 (Secondary) Euclidean outer billiard on a regular polygon (that is not a triangle, square or a hexagon) has aperiodic points, i.e., points where all iterates of the outer billiard map are defined and yield pairwise distinct images. This result answers a question of R. Schwartz posed at ICM 2022. |
| title | Aperiodic points for outer billiards |
| topic | Dynamical Systems Metric Geometry 37C83 (Primary), 37E30, 37B52, 37E05 (Secondary) |
| url | https://arxiv.org/abs/2311.09643 |