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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…
math.PR2024
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…