2 citations · 2 across the 3 of their papers we have counts for
5 papers
Mesoscopic transition for -ensembles at intermediary temperature
Charlie Dworaczek Guera, Gaultier Lambert, Luke Peilen
This paper establishes a mesoscopic central limit theorem for linear statistics of -ensembles or log-gas, as the dimension , in the temperature regime $1/N\llβ(N)\le…
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…
Asymptotics of the partition function for -ensembles at high temperature
Charlie Dworaczek Guera
We consider the real -ensemble (or 1D log-gas) of dimension in the high-temperature regime, \textit{i.e.} where the inverse temperature scales as with a fixe…
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…