On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914950602031104 |
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| author | Kontorovich, Alex Zhang, Xin |
| author_facet | Kontorovich, Alex Zhang, Xin |
| contents | We study the set of combinatorial lengths of asymmetric periodic trajectories on the regular pentagon, proving a density-one version of a conjecture of Davis-Lelievre. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10682 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon Kontorovich, Alex Zhang, Xin Number Theory Dynamical Systems 37C83, 11E20, 11F41 We study the set of combinatorial lengths of asymmetric periodic trajectories on the regular pentagon, proving a density-one version of a conjecture of Davis-Lelievre. |
| title | On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon |
| topic | Number Theory Dynamical Systems 37C83, 11E20, 11F41 |
| url | https://arxiv.org/abs/2409.10682 |