Polarization and Greedy Energy on the Sphere

Polarization and Greedy Energy on the Sphere

We investigate the behavior of a greedy sequence on the sphere \(\mathbb{S}^d\) defined so that at each step the point that minimizes the Riesz \(s\)-energy is added to the existing set of points. We show that for \(0

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Veröffentlicht in:arXiv.org 2023-07
Hauptverfasser: Bilyk, Dmitriy, Mastrianni, Michelle, Matzke, Ryan W, Steinerberger, Stefan
Format: Artikel
Sprache:eng
Schlagworte:
Polarization
Spherical caps
Upper bounds
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Zusammenfassung:We investigate the behavior of a greedy sequence on the sphere \(\mathbb{S}^d\) defined so that at each step the point that minimizes the Riesz \(s\)-energy is added to the existing set of points. We show that for \(0
ISSN:2331-8422