Thick points of 4d critical branching Brownian motion

par Antoine Jego

jeudi 1 juin 2023, 14:00 → 15:00 Europe/Paris

435 (ENS)

We study the thick points of branching Brownian motion and branching random walk with a critical branching mechanism, in the critical dimension d = 4. We compute the dimension of these thick points and obtain an expansion up to arbitrary order for the probability to hit a small ball, as well as study the negative solutions of a related boundary value problem associated to a certain semilinear PDE. 

Joint with N. Berestycki and T. Hutchcroft.