21 citations · 37 across the 4 of their papers we have counts for
6 papers
Large deviation principles for hypersingular Riesz gases
Douglas P. Hardin, Thomas Leblé, Edward B. Saff +1
We study -particle systems in R^d whose interactions are governed by a hypersingular Riesz potential , , and subject to an external field. We provide both macro…
Fluctuations of Two-Dimensional Coulomb Gases
Thomas Leblé, Sylvia Serfaty
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 macroscopic…
Large deviations for the two-dimensional two-component plasma
Thomas Leblé, Sylvia Serfaty, Ofer Zeitouni +1
We derive a large deviations principle for the two-dimensional two-component plasma in a box. As a consequence, we obtain a variational representation for the free energy, and also…
Local microscopic behavior for 2D Coulomb gases
Thomas Leblé
The study of two-dimensional Coulomb gases lies at the interface of statistical physics and non-Hermitian random matrix theory. In this paper we give a large deviation principle (L…
Logarithmic, Coulomb and Riesz energy of point processes
Thomas Leblé
We define a notion of logarithmic, Coulomb and Riesz interactions in any dimension for random systems of infinite charged point configurations with a uniform background of opposite…
Large Deviation Principle for Empirical Fields of Log and Riesz Gases
Thomas Leblé, Sylvia Serfaty
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 empirica…