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math.PR2022★ 15 cited
Threshold condensation to singular support for a Riesz equilibrium problem
Djalil Chafaï, Edward B. Saff, Robert S. Womersley
We compute the equilibrium measure in dimension d=s+4 associated to a Riesz s-kernel interaction with an external field given by a power of the Euclidean norm. Our study reveals th…
math.PR2021★ 10 cited
On the solution of a Riesz equilibrium problem and integral identities for special functions
Djalil Chafaï, Edward B. Saff, Robert S. Womersley
The aim of this note is to provide a full space quadratic external field extension of a classical result of Marcel Riesz for the equilibrium measure on a ball with respect to Riesz…
math.PR2015
Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation
Johann S. Brauchart, Alexander B. Reznikov, Edward B. Saff +3
Geometric properties of random points distributed independently and uniformly on the unit sphere with respect to surface area measure ar…