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math.PR2025
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…
math.PR2025
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…