Département de Mathématiques
Université Paris 12 Val de Marne
To a configuration of infinitely many points in the plane, one can associate an energy describing the coulombian interaction of positive charges placed at these points with a negatively charged uniform background. I will describe results obtained in collaboration with S.Serfaty which give some basic properties of this energy and links it to superconducting vortices, log-gases and weighted Fekete sets. I will also describe criteria obtained in collaboration with Y.Ge which insure that this energy is finite.