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math.PR2024
Additive martingales of the branching Brownian motion
Louis Chataignier
In this thesis, we study asymptotic properties of the standard branching Brownian motion, with a specific emphasis on the additive martingales at high temperature. We start by pres…
math.PR2024
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…