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

Showing 2021Show all

3 papers · 1 filter

math.PR2021

1-stable fluctuations in branching Brownian motion at critical temperature II: general functionals

Pascal Maillard, Michel Pain

Let $μ_{t}$ denote the critical derivative Gibbs measure of branching Brownian motion at time $t$ . It has been proved by Madaule (Stochastic Process. Appl. 126 (2016), no. 2, 470--50…

math.PR2021★ 35 cited

Optimal local law and central limit theorem for $β$ -ensembles

Paul Bourgade, Krishnan Mody, Michel Pain

In the setting of generic $β$ -ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic. This…

math.PR2021★ 1 cited

Correction terms for the height of weighted recursive trees

Michel Pain, Delphin Sénizergues

Weighted recursive trees are built by adding successively vertices with predetermined weights to a tree: each new vertex is attached to a parent chosen randomly proportionally to i…

1-stable fluctuations in branching Brownian motion at critical temperature II: general functionals

Optimal local law and central limit theorem for β-ensembles

Correction terms for the height of weighted recursive trees

Optimal local law and central limit theorem for $β$ -ensembles