9 citations · 13 across the 5 of their papers we have counts for
6 papers
CLT for -ensembles with Freud weights, application to the KLS conjecture in Schatten balls
Charlie Dworaczek Guera, Ronan Memin, Michel Pain
In this paper, we are interested in the -ensembles (or 1D log-gas) with Freud weights, namely with a potential of the form with . Since this potential is not…
Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature
Charlie Dworaczek Guera, Ronan Memin
We consider a model of a gas of confined particles subject to a two-body repulsive interaction, namely the one-dimensional log or Riesz gas. We are interested in the so-called…
CLT for ensembles at high-temperature, and for integrable systems: a transfer operator approach
Guido Mazzuca, Ronan Memin
In this paper, we prove a polynomial Central Limit Theorem for several integrable models, and for the -ensembles at high-temperature with polynomial potential. Furthermore, we c…
CLT for real beta-ensembles at high temperature
Charlie Dworaczek Guera, Ronan Memin
We establish a central limit theorem for the fluctuations of the linear statistics in the -ensemble of dimension at a temperature proportional to and with confining smoo…
Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
Guido Mazzuca, Ronan Memin
We consider the Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, and the Schur flow. We derive large deviations principles for the distribution of the empirical measures o…
Large deviations for generalized Gibbs ensembles of the classical Toda chain
Alice Guionnet, Ronan Memin
We prove large deviation principles for the distribution of the empirical measure of the eigenvalues of Lax matrices following the Generalized Gibbs ensembles of the classical Toda…