Thick points of 4d critical branching Brownian motion
par
Antoine Jego
→
Europe/Paris
435 (ENS)
435
ENS
Description
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.
