On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
Kuijlaars, A. B. J. ; Saff, E. B. ; Sun, X.
arXiv, 0503063 / Harvested from arXiv
Text on arXiv
For the unit sphere S^d in Euclidean space R^(d+1), we show that for d-11, 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.
Publié le : 2005-03-27
Classification:  Mathematical Physics,  Mathematics - Classical Analysis and ODEs,  11K41,  70F50,  28A78 
@article{0503063,
     author = {Kuijlaars, A. B. J. and Saff, E. B. and Sun, X.},
     title = {On Separation of Minimal Riesz Energy Points on Spheres in Euclidean
  Spaces},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503063}
}

Kuijlaars, A. B. J.; Saff, E. B.; Sun, X. On Separation of Minimal Riesz Energy Points on Spheres in Euclidean
  Spaces. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503063/