Free Energy of a Coulomb Gas on a Jordan Domain

par Fredrik Viklund (KTH)

vendredi 26 avr. 2024, 14:00 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Probability and analysis informal seminar

Consider a Coulomb gas restricted to a Jordan domain in the complex plane. How does the asymptotic expansion of the free energy depend on the geometry of the domain, as the number of particles tends to infinity? I will explain how this problem is related to the Grunsky operator -- a classical tool in complex analysis -- and how this in turn reveals a close connection to the Loewner energy and other interesting domain functionals. I will further discuss the effect of corners,  which turns out to be universal in a certain sense. Most main players will be introduced in the talk. This is joint work with Kurt Johansson (KTH).

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