The spectral diameter of a symplectic ellipsoid
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916356521197568 |
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| author | Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan |
| author_facet | Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan |
| contents | The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectral diameter of a symplectic ellipsoid. We also study the relationship between the spectral diameter and packings by two balls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The spectral diameter of a symplectic ellipsoid Alizadeh, Habib Atallah, Marcelo S. Cant, Dylan Symplectic Geometry 53240, 53D20 The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectral diameter of a symplectic ellipsoid. We also study the relationship between the spectral diameter and packings by two balls. |
| title | The spectral diameter of a symplectic ellipsoid |
| topic | Symplectic Geometry 53240, 53D20 |
| url | https://arxiv.org/abs/2408.07214 |