On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
Mathematical Physics
2007-05-23 v1 Classical Analysis and ODEs
math.MP
Abstract
For the unit sphere S^d in Euclidean space R^(d+1), we show that for d-1<s<d and any N>1, discrete N-point minimal Riesz s-energy configurations are well separated in the sense that the minimal distance between any pair of distinct points in such a configuration is bounded below by C/N^(1/d), where C is a positive constant depending on s and d.
Keywords
Cite
@article{arxiv.math-ph/0503063,
title = {On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces},
author = {A. B. J. Kuijlaars and E. B. Saff and X. Sun},
journal= {arXiv preprint arXiv:math-ph/0503063},
year = {2007}
}
Comments
12 pages, submitted to Irsee Conference Proceedings