Riesz external field problems on the hypersphere and optimal point separation

DOI10.1007/s11118-014-9387-8zbMath1307.31010arXiv1310.2765OpenAlexW3102638686MaRDI QIDQ462301

Peter D. Dragnev, Johann S. Brauchart, Edward B. Saff

Publication date: 20 October 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2765

zbMATH Keywords

external fieldRiesz potentialFekete pointsminimal energy problem

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Discrete potential theory (31C20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (17)

Coulomb and Riesz gases: The known and the unknown ⋮ Non-standard green energy problems in the complex plane ⋮ Minimum energy problem on the hypersphere ⋮ On point-mass Riesz external fields on the real axis ⋮ Logarithmic potential theory and large deviation ⋮ Asymptotic distributions of covering and separation measures on the hypersphere ⋮ Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere ⋮ A large deviation principle for weighted Riesz interactions ⋮ Equidistribution of jellium energy for Coulomb and Riesz interactions ⋮ Generating Point Configurations via Hypersingular Riesz Energy with an External Field ⋮ Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case ⋮ Weighted energy problem on the unit sphere ⋮ NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS ⋮ Well-distributed great circles on \(\mathbb S^2\) ⋮ Local Properties of Riesz Minimal Energy Configurations and Equilibrium Measures ⋮ Minimum Riesz energy problem on the hyperdisk ⋮ Balayage of measures on a locally compact space

Uses Software

• DLMF

Cites Work

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• Equilibrium Potentials with External Fields

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