The support of the limit distribution of optimal Riesz energy points on sets of revolution in \(\mathbb{R}^{3}\)

Let A be a compact set in the right-half plane and \(\Gamma(A)\) the set in \(\mathbb{R}^{3}\) obtained by rotating A about the vertical axis. We investigate the support of the limit distribution of minimal energy point charges on \(\Gamma(A)\) that interact according to the Riesz potential 1/r^{s},...

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Bibliographic Details
Published in:arXiv.org 2007-08
Main Authors: Brauchart, J S, Hardin, D P, Saff, E B
Format: Article
Language:English
Subjects:
Energy distribution
Estimating techniques
Euclidean geometry
Potential theory
Online Access:Get full text
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Summary:Let A be a compact set in the right-half plane and \(\Gamma(A)\) the set in \(\mathbb{R}^{3}\) obtained by rotating A about the vertical axis. We investigate the support of the limit distribution of minimal energy point charges on \(\Gamma(A)\) that interact according to the Riesz potential 1/r^{s}, 0
ISSN:2331-8422
DOI:10.48550/arxiv.0708.0568