7 citations · 13 across the 3 of their papers we have counts for
3 papers
math.CV2019★ 4 cited
An equilibrium problem on the sphere with two equal charges
Juan G. Criado del Rey, Arno B. J. Kuijlaars
We study the equilibrium measure on the two dimensional sphere in the presence of an external field generated by two equal point charges. The support of the equilibrium measure is…
math.DG2019★ 7 cited
On the separation distance of minimal Green energy points on compact Riemannian manifolds
Juan G. Criado del Rey
In this article we study point configurations minimizing the discrete energy on a compact Riemannian manifold, where the energy kernel is taken to be the Green's function for the L…
math.DG2017★ 2 cited
Discrete and Continuous Green Energy on Compact Manifolds
Carlos Beltrán, Nuria Corral, Juan G. Criado del Rey
In this article we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove…