35 citations · 74 across the 12 of their papers we have counts for
15 papers
Fluctuations of additive martingale limits of branching Brownian motion
Xinxin Chen, Michel Pain
Consider a one-dimensional branching Brownian motion. Let denote the limit of the additive martingale in the subcritical regime and …
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…
Polynomial slowdown in an angle-dependent 2d branching Brownian motion
Julien Berestycki, David Geldbach, Michel Pain
We consider a branching Brownian motion in in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate which dep…
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…
Asymptotics of the overlap distribution of branching Brownian motion at high temperature
Louis Chataignier, Michel Pain
At high temperature, the overlap of two particles chosen independently according to the Gibbs measure of the branching Brownian motion converges to zero as time goes to infinity. W…
Branching Brownian motion versus Random Energy Model in the supercritical phase: overlap distribution and temperature susceptibility
Benjamin Bonnefont, Michel Pain, Olivier Zindy
In comparison with Derrida's REM, we investigate the influence of the so-called decoration processes arising in the limiting extremal processes of numerous log-correlated Gaussian…
Height of weighted recursive trees with sub-polynomially growing total weight
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 at random with probability p…
1-stable fluctuations in branching Brownian motion at critical temperature II: general functionals
Pascal Maillard, Michel Pain
Let denote the critical derivative Gibbs measure of branching Brownian motion at time . It has been proved by Madaule (Stochastic Process. Appl. 126 (2016), no. 2, 470--50…
Optimal local law and central limit theorem for -ensembles
Paul Bourgade, Krishnan Mody, Michel Pain
In the setting of generic -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…
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…
An exactly solvable continuous-time Derrida--Retaux model
Yueyun Hu, Bastien Mallein, Michel Pain
To study the depinning transition in the limit of strong disorder, Derrida and Retaux (2014) introduced a discrete-time max-type recursive model. It is believed that for a large cl…
Two-temperatures overlap distribution for the 2D discrete Gaussian free field
Michel Pain, Olivier Zindy
In this paper, we prove absence of temperature chaos for the two-dimensional discrete Gaussian free field using the convergence of the full extremal process, which has been obtaine…
1-stable fluctuations in branching Brownian motion at critical temperature I: the derivative martingale
Pascal Maillard, Michel Pain
Let denote the derivative martingale of branching Brownian motion, i.e.\@ the derivative with respect to the inverse temperature of the normalized partition funct…
The near-critical Gibbs measure of the branching random walk
Michel Pain
Consider the supercritical branching random walk on the real line in the boundary case and the associated Gibbs measure on the generation, which is also the…
Velocity of the -branching Brownian motion
Michel Pain
We consider a branching-selection system of particles on the real line that evolves according to the following rules: each particle moves according to a Brownian motion during an e…