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

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 نشر من قبل Edward Saff
 تاريخ النشر 2005
  مجال البحث فيزياء
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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.



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