I will discuss the interplay of entropy, energy, and functional inequalities in establishing the mean-field convergence/propagation of chaos for the dynamics of interacting particle systems known as Coulomb or Riesz gases. Time permitting, I will also discuss the role of the trend to equilibrium for the mean-field equation and how it allows to deduce uniform-in-time convergence results or even establish the generation of chaos, as well new results concerning the fluctuations around the mean-field limit.
Back to Long Programs
Copyright. All Rights Reserved.
