Logarithmic interaction energy for infinitely many points in the plane

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov, Yakov Pesin.

Speaker: Etienne Sandier, Université Paris 12, Paris, France

Abstract: I will define an energy describing the interaction of infinitely many positive charges in the plane with a uniform negative background (a system sometimes referred to as a jellium by physicists). I will give some of the basic properties of this energy proved with S. Serfaty some years ago, and describe recent results obtained with Y.Ge which give a partial answer to the question of which configurations of points have finite energy. I will also if time permits describe links and applications to the theory of log-gases and weighted Fekete sets.

Room Reservation Information

Room Number: 106 McAllister

Date: 02/25/2014

Time: 4:00pm - 5:00pm