Student Probability Seminar

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Overcrowding Estimates for the Coulomb Gas

Speaker: Eric Thoma, CIMS

Location: Warren Weaver Hall 517

Date: Tuesday, December 6, 2022, 5:40 p.m.

Synopsis:

The Coulomb gas is an important model of statistical physics appearing in a variety of contexts. This talk will introduce the gas and a new method for proving several interesting estimates using some simple properties of the Coulomb force. I will address questions involving extremes of the inter-particle gaps, limits on crystallization in the gas, and fluctuations of electric charge. The talk will assume no prior exposure to the model.