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Explore large systems of particles with Coulomb-type repulsion in this comprehensive lecture by Sylvia Serfaty from the Courant Institute. Delve into the mean-field dynamics of these systems using a modulated energy approach in the first part of the talk. Expand your understanding in the second part by examining the statistical mechanics of Coulomb systems, including free energy expansion, Large Deviation Principle (LDP) for empirical fields, and fluctuations around the mean-field limit. Discover the common tools and ideas that bridge both parts of this in-depth exploration of Coulomb interactions in particle systems.
