Eric Thoma

activity

20212025

collaborators

4 papers

math.PR2025

A maximum principle for the Coulomb gas: microscopic density bounds, confinement estimates, and high temperature limits

Eric Thoma

We introduce and prove a maximum principle for a natural quantity related to the $k$ -point correlation function of the classical one-component Coulomb gas. As an application, we sh…

math.PR2023

Non-rigidity Properties of the Coulomb Gas

Eric Thoma

We prove existence of infinite volume $d$ -dimensional Coulomb gases which are not number rigid for $d \geq 3$ . This makes the Coulomb gas the Gibbs point process with the longest r…

math-ph2022

Overcrowding and Separation Estimates for the Coulomb Gas

Eric Thoma

We prove several results for the Coulomb gas in any dimension $d \geq 2$ that follow from isotropic averaging, a transport method based on Newton's theorem. First, we prove a high-…

math.PR2021

Thermodynamic and Scaling Limits of the non-Gaussian Membrane Model

Eric Thoma

We characterize the behavior of a random discrete interface $ϕ$ on $[- L, L]^{d} \cap Z^{d}$ with energy $\sum V (Δ ϕ (x))$ as $L \to \infty$ , where $Δ$ is the discrete Laplacian a…