The minimal spherical dispersion

DOI10.1007/s12220-023-01527-zarXiv2103.11701OpenAlexW3137919711MaRDI QIDQ6185087

Joscha Prochno, Daniel Rudolf

Publication date: 29 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11701

zbMATH Keywords

spherical capdispersionVC-dimensionexpected dispersionspherical dispersion

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Complexity of computation (including implicit computational complexity) (03D15) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Cites Work

• Expected dispersion of uniformly distributed points
• New bounds on the minimal dispersion
• Learnability and the Vapnik-Chervonenkis dimension
• An Upper Bound of the Minimal Dispersion via Delta Covers
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