Dylan Cant

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The spectral diameter of a symplectic ellipsoid

Habib Alizadeh, Marcelo S. Atallah, Dylan Cant

08-2024. Publié dans J. Symplectic Geom. 23 (2025), 995–1024

Résumé:

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.

Liens:

• PDF
• arXiv:2408.07214
• Version publiée (J. Symplectic Geom.)
• BibTeX

  @article{spec-diam-ellipsoid,
    author        = {Habib Alizadeh and Marcelo S. Atallah and Dylan Cant},
    title         = {The spectral diameter of a symplectic ellipsoid},
    journal       = {J. Symplectic Geom.},
    year          = {2025},
    volume        = {23},
    number        = {5},
    pages         = {995--1024},
    doi           = {10.4310/JSG.251217110546},
    eprint        = {2408.07214},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }