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Seminários do IMPA

Probabilidade e Combinatória

Título
Coulomb gases : concentration and dynamics
Expositor
Djalil Chafai

Universite de Dauphine
Data
Quinta-feira, 4 de janeiro de 2018, 15:30
Local
Sala 347
Resumo

We consider a Boltzmann-Gibbs measure modelling exchangeable particles subject to confinement and singular pair repulsion. The model includes log-gases from random matrix theory, in particular the complex Ginibre ensemble. We will study concentration of measure for the empirical measure of the particles, as well as Poincaré inequalities for a natural diffusive dynamics.