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arXiv · 2408.07214

The spectral diameter of a symplectic ellipsoid

Habib Alizadeh·Marcelo S. Atallah·Dylan Cant
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Abstract

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.

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Habib Alizadeh, Marcelo S. Atallah, Dylan Cant. 2024-08-13. The spectral diameter of a symplectic ellipsoid. https://arxiv.org/abs/2408.07214

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