Random Point Sets on the Sphere—Hole Radii, Covering, and Separation

DOI10.1080/10586458.2016.1226209zbMath1386.52019arXiv1512.07470OpenAlexW2963094992WikidataQ60138303 ScholiaQ60138303MaRDI QIDQ5374129

Johann S. Brauchart, A. B. Reznikov, Robert S. Womersley, Edward B. Saff, Yu Guang Wang, Ian H. Sloan

Publication date: 9 April 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07470

zbMATH Keywords

covering radiusrandom polytopespoint separationmoments of hole radiispherical random points

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (11)

Splitting tessellations in spherical spaces ⋮ Minimal Riesz energy on balanced fractal sets ⋮ Asymptotic distributions of covering and separation measures on the hypersphere ⋮ Efficient Spherical Designs with Good Geometric Properties ⋮ On the search for tight frames of low coherence ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ A Representativeness Assessment of the Angell–Korshover 63-Station Network Sampling Based on Reanalysis Temperature Data ⋮ Optimal Monte Carlo integration on closed manifolds ⋮ A maximal energy pointset configuration problem ⋮ Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere ⋮ Numerical computation of triangular complex spherical designs with small mesh ratio

Uses Software

• DLMF

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