R. Memin

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math.PR2025

CLT for $β$ -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 $β$ -ensembles (or 1D log-gas) with Freud weights, namely with a potential of the form $∣ x ∣^{p}$ with $p \geq 2$ . 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 $N$ confined particles subject to a two-body repulsive interaction, namely the one-dimensional log or Riesz gas. We are interested in the so-called…

math.PR2023

CLT for $β$ 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 $β$ -ensembles at high-temperature with polynomial potential. Furthermore, we c…

CLT for β-ensembles with Freud weights, application to the KLS conjecture in Schatten balls

Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature

CLT for β ensembles at high-temperature, and for integrable systems: a transfer operator approach

CLT for $β$ -ensembles with Freud weights, application to the KLS conjecture in Schatten balls

CLT for $β$ ensembles at high-temperature, and for integrable systems: a transfer operator approach