On the separation distance of minimal Green energy points on compact Riemannian manifolds

by Juan G. Criadod del Rey (KU Leuven)

Location: 200B.02.18, Leuven
Time: Thursday January 10, 2019 at 14:00

Obtaining well-distributed point configurations on compact manifolds is a classical problem that can be addressed in various ways. One could, for instance, try to obtain collections of points maximising the least distance between any two distinct points (the separation distance), minimizing some energy function, or having nice properties with regard to numerical integration.

In this talk I will discuss some properties of minimal energy points on a compact manifold, where the energy kernel is taken to be the Green’s function for the (Riemannian) Laplacian. In particular, I will focus on a result stating that these points have the optimal asymptotic order for the separation distance.