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Logarithmic Interaction Energy for Infinitely Many Points in the Plane, Coulomb Gases and Weighted Fekete Sets

Etienne Sandier

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.

Earlier Event: June 18
Later Event: June 18