Support of the logarithmic equilibrium measure on sets of revolution in R3

DOI10.1063/1.2435084zbMath1121.82004arXivmath-ph/0605034OpenAlexW3104677152MaRDI QIDQ3442204

Douglas P. Hardin, Herbert R. Stahl, Edward B. Saff

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0605034

zbMATH Keywords

limit distribution of minimum energy point masses

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Rapid Solution of Minimal Riesz Energy Problems ⋮ Approximating Probability Measures on Manifolds via Radial Basis Functions ⋮ Estimation of Fekete points ⋮ Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets ⋮ Quasi-uniformity of minimal weighted energy points on compact metric spaces ⋮ Spherical basis functions and uniform distribution of points on spheres ⋮ The support of the limit distribution of optimal Riesz energy points on sets of revolution in R3 ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

• Distributions of positive mass, which maximize a certain generalized energy integral
• Extremal systems of points and numerical integration on the sphere
• Mathematical problems for the next century
• Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
• Finite normalized tight frames
• Asymptotics for minimal discrete energy on the sphere
• On the approximation of certain mass distributions appearing in distance geometry

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