Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913282518941696 |
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| author | Beck, J. Chen, W. W. L. |
| author_facet | Beck, J. Chen, W. W. L. |
| contents | In this paper, we show that billiard orbits in rational polygons and geodesics on translation surfaces exhibit super-fast spreading, an optimal time-quantitative majority property about the corresponding linear flow that implies uniformity in almost every direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_01959 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces Beck, J. Chen, W. W. L. Dynamical Systems 11K38, 37E35 In this paper, we show that billiard orbits in rational polygons and geodesics on translation surfaces exhibit super-fast spreading, an optimal time-quantitative majority property about the corresponding linear flow that implies uniformity in almost every direction. |
| title | Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces |
| topic | Dynamical Systems 11K38, 37E35 |
| url | https://arxiv.org/abs/2201.01959 |