

01:01:00
published on July 3, 2025
Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics
By Stanislav Smirnov
Appears in collection : Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle
We consider a system of N points in singular interaction of Coulomb or Riesz type, evolving by gradient flow or conservative flow (such as the point vortex system in 2D) with or without noise. We discuss convergence to the mean-field limit by a modulated energy method, that relies on a commutator estimate. The method also allows to obtain global-in-time convergence.