3 citations · 7 across the 3 of their papers we have counts for
7 papers
The two-dimensional one-component plasma is hyperuniform
Thomas Leblé
We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number o…
A local CLT for linear statistics of 2D Coulomb gases
Thomas Leblé, Ofer Zeitouni
We prove a local central limit theorem for fluctuations of linear statistics of smooth enough test functions under the canonical Gibbs measure of two-dimensional Coulomb gases at a…
The one-dimensional log-gas free energy has a unique minimiser
Matthias Erbar, Martin Huesmann, Thomas Leblé
We prove that, at every positive temperature, the infinite-volume free energy of the one dimensional log-gas, or beta-ensemble, has a unique minimiser, which is the Sine-beta proce…
CLT for fluctuations of linear statistics in the Sine-beta process
Thomas Leblé
We prove, for any , a central limit theorem for the fluctuations of linear statistics in the Sine- process, which is the infinite volume limit of the random microscopic beh…
DLR equations and rigidity for the Sine-beta process
David Dereudre, Adrien Hardy, Thomas Leblé +1
We investigate Sine, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or -ensembles…
CLT for fluctuations of -ensembles with general potential
Florent Bekerman, Thomas Leblé, Sylvia Serfaty
We prove a central limit theorem for the linear statistics of one-dimensional log-gases, or -ensembles. We use a method based on a change of variables which allows to treat fair…