4 papers
Fourier dimension of imaginary Gaussian multiplicative chaos
Benjamin Bonnefont, Hermanni Rajamäki, Vincent Vargas
We study the high-frequency Fourier asymptotics of imaginary Gaussian multiplicative chaos on the unit circle, a complex-valued random distribution formally given by $\mathrm M_{\m…
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…
The left tail of the subcritical derivative martingale in a branching random walk
Benjamin Bonnefont, Vincent Vargas
We obtain in this work a sharp estimate on the left tail of the distribution of the so-called derivative martingale in the phase, answering a conjecture by H. Lacoin, R. Rhod…
The overlap distribution at two temperatures for the branching Brownian motion
Benjamin Bonnefont
We study the overlap distribution of two particles chosen under the Gibbs measure at two temperatures for the branching Brownian motion. We first prove the convergence of the overl…