We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

In this article we describe the crystallization conjecture. It states that, in appropriate physical
conditions, interacting particles always place themselves into periodic configurations …

Our goal is to provide an introduction to the study of minimal energy problems, particularly
from the perspective of generating point configurations that provide useful discretizations of …

We establish the mean field convergence for systems of points evolving along the gradient
flow of their interaction energy when the interaction is the Coulomb potential or a super …

arxiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arxiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …

We provide a proof of mean-field convergence of first-order dissipative or conservative
dynamics of particles with Riesz-type singular interaction (the model interaction is an inverse …

We consider conservative and gradient flows for N-particle Riesz energies with meanfield
scaling on the torus Td, for d 1, and with thermal noise of McKean–Vlasov type. We prove …

We study a system of N particles with logarithmic, Coulomb or Riesz pairwise interactions,
confined by an external potential. We examine a microscopic quantity, the tagged empirical …

Abstract We prove a Central Limit Theorem for the linear statistics of two-dimensional
Coulomb gases, with arbitrary inverse temperature and general confining potential, at the …

We obtain concentration estimates for the fluctuations of Coulomb gases in any dimension
and in a broad temperature regime, including very small and very large temperature regimes …