The spectral diameter of a symplectic ellipsoid
Symplectic Geometry
2024-08-15 v1
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.
Cite
@article{arxiv.2408.07214,
title = {The spectral diameter of a symplectic ellipsoid},
author = {Habib Alizadeh and Marcelo S. Atallah and Dylan Cant},
journal= {arXiv preprint arXiv:2408.07214},
year = {2024}
}
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21 pages