Discrepancy estimates on the sphere

DOI10.1007/s006050050056zbMath0953.11027OpenAlexW2005422544MaRDI QIDQ1817762

Yanyan Li

Publication date: 1 February 2001

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050050056

zbMATH Keywords

spherical harmonicsquadrature formulaequidistributiondistribution measuresbounds for Newtonian potentialsdiscrepancy estimatespoint sets on the sphere

Mathematics Subject Classification ID

Approximate quadratures (41A55) Irregularities of distribution, discrepancy (11K38) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (5)

Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy ⋮ On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space ⋮ Energy functionals, numerical integration and asymptotic equidistribution on the sphere. ⋮ Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\) ⋮ Optimal logarithmic energy points on the unit sphere

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