Dylan Cant

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The spectral diameter of a symplectic ellipsoid

Habib Alizadeh、Marcelo S. Atallah、Dylan Cant

2024年08月。发表于 J. Symplectic Geom. 23 (2025), 995–1024

摘要：

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.

链接：

• PDF
• arXiv:2408.07214
• 期刊版本（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},
  }