Ivrii's conjecture for some cases in outer and symplectic billiards
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909369660080128 |
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| author | Sharipova, Anastasiia |
| author_facet | Sharipova, Anastasiia |
| contents | We give a proof for $(2n + 1,n)$ and $(2n, n-1)$-periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ivrii's conjecture for some cases in outer and symplectic billiards Sharipova, Anastasiia Dynamical Systems Symplectic Geometry We give a proof for $(2n + 1,n)$ and $(2n, n-1)$-periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards. |
| title | Ivrii's conjecture for some cases in outer and symplectic billiards |
| topic | Dynamical Systems Symplectic Geometry |
| url | https://arxiv.org/abs/2402.18782 |