10 papers · 1 filter
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…