The support of the limit distribution of optimal Riesz energy points on sets of revolution in R3

DOI10.1063/1.2817823zbMath1153.81328arXiv0708.0568OpenAlexW3098005417MaRDI QIDQ3544546

Johann S. Brauchart, Edward B. Saff, Douglas P. Hardin

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0568

zbMATH Keywords

Riesz potentialminimal energy point chargessupport of equilibrium measuresupport of limit distribution

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (4)

Rapid Solution of Minimal Riesz Energy Problems ⋮ Quasi-uniformity of minimal weighted energy points on compact metric spaces ⋮ On Riesz minimal energy problems ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

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• Distributions of positive mass, which maximize a certain generalized energy integral
• Riesz spherical potentials with external fields and minimal energy points separation
• On the Generalized Potential Problem for a Surface of Revolution
• Support of the logarithmic equilibrium measure on sets of revolution in R3
• Some Potential Problems for Slender Tori
• A Perturbation Method for Solving Torus Problems in Electrostatics
• Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝ^d
• Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets

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