On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces

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dc.creatorKuijlaars, A. B. J.
dc.creatorSaff, E. B.
dc.creatorSun, X.
dc.date2005-03-27
dc.date.accessioned2026-07-07T04:31:58Z
dc.date.available2026-07-07T04:31:58Z
dc.descriptionFor 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.
dc.description12 pages, submitted to Irsee Conference Proceedings
dc.identifierhttps://arxiv.org/abs/math-ph/0503063
dc.identifierhttp://arxiv.org/abs/math-ph/0503063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58020
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject11K41; 70F50; 28A78
dc.titleOn Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
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