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Systems with Coulomb-type interactions: mean-field dynamics and statistical mechanics

Le cours de Sylvia Serfaty

Sylvia Serfaty (Courant Institute), lauréate d'une Chaire d'excellence FSMP-PSL en 2022, donne dans le cadre de sa chaire un cours intitulé Systems with Coulomb-type interactions: mean-field dynamics and statistical mechanics. Le cours se déroulera en 8 séances les lundis de 13h30 à 16h à partir du 13 février 2023. Il se tiendra au DMA de l'Ecole Normale Supérieure (45 rue d'Ulm, 75005, Paris).

Descriptif du cours

The goal of this course, targeted at the doctoral level, is to present recent progress in the analysis of statistical mechanics and dynamics of classical Coulomb systems. In order to arrive at those recent developments we will start by reviewing some classical notions and results, which can be instructive for students and young researchers. We will focus on the Coulomb case for simplicity, and explain how some of the results extend to more general singular (inverse power-like) interactions.

The course will be in two parts: one part on the dynamics and one on the statistical mechanics, and we will emphasize several notions that are common to both parts.

We hope the course will be of interest to both analysts and probabilists, as well as researchers interested in mathematical physics in general and in applied mathematics.

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