Student Probability Seminar

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An Introduction to Coulomb Gases

Speaker: Elias Hess-Childs, CIMS

Location: TBA

Date: Wednesday, October 28, 2020, 10 a.m.

Synopsis:

Coulomb gases are a ubiquitous family of models describing particles interacting pairwise via Coulomb (or Riesz) repulsion in the presence of a confining potential. These arise in a variety of settings, from condensed matter physics to random matrix theory. I will introduce some of the basic questions about these systems, give motivation for them, and outline some of the known results. I will conclude by briefly summarizing some of the questions I am hoping to answer in my research. This gives a good context for introducing Gamma-convergence and large deviation principles, two fundamental tools in investigating the asymptotics of systems in analysis and probability.