Duke Applied Mathematics

Publications [#348481] of Jonathan C. Mattingly

Papers Published

1. Lu, Y; Mattingly, JC, Geometric ergodicity of Langevin dynamics with Coulomb interactions, Nonlinearity, vol. 33 no. 2 (January, 2020), pp. 675-699, IOP Publishing [doi]
   (last updated on 2026/01/20)

   Abstract:
   This paper is concerned with the long time behavior of Langevin dynamics of Coulomb gases in with, that is a second order system of Brownian particles driven by an external force and a pairwise repulsive Coulomb force. We prove that the system converges exponentially to the unique Boltzmann-Gibbs invariant measure under a weighted total variation distance. The proof relies on a novel construction of Lyapunov function for the Coulomb system.