97 citations · 463 across the 68 of their papers we have counts for
72 papers
Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?
Djalil Chafaï, Ryan W. Matzke, Edward B. Saff +2
We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general n…
On a problem of E. Meckes for the unitary eigenvalue process on an arc
Liudmyla Kryvonos, Edward B. Saff
We study the problem originally communicated by E. Meckes on the asymptotics for the eigenvalues of the kernel of the unitary eigenvalue process of a random matrix. Th…
Universal minima of discrete potentials for sharp spherical codes
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
This article is devoted to the study of discrete potentials on the sphere in for sharp codes. We show that the potentials of most of the known sharp codes attain the…
On polarization of spherical codes and designs
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
In this article we investigate the -point min-max and the max-min polarization problems on the sphere for a large class of potentials in . We derive universal lowe…
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…
Point Source Equilibrium Problems with Connections to Weighted Quadrature Domains
Peter D. Dragnev, Alan R. Legg, Edward B. Saff
We explore the connection between supports of equilibrium measures and quadrature identities, especially in the case of point sources added to the external field wi…