Michel Pain

activity

20152026

most citedOptimal local law and central limit theorem for

β

-ensembles

35 citations · 74 across the 12 of their papers we have counts for

collaborators

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3 papers · 1 filter

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

Polynomial slowdown in an angle-dependent 2d branching Brownian motion

Julien Berestycki, David Geldbach, Michel Pain

We consider a branching Brownian motion in $R^{2}$ in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate $b (θ)$ which dep…

math.PR2025

Interlacing sequences resulting from an interval split-merge dynamics and the induced probability measures

Serge Cohen, James Norris, Michel Pain +1

We study sequences of partitions of the unit interval into subintervals, starting from the trivial partition, in which each partition is obtained from the one before by splitting i…

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

Polynomial slowdown in an angle-dependent 2d branching Brownian motion

Interlacing sequences resulting from an interval split-merge dynamics and the induced probability measures

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