Probability and Stochastic Processes Seminar
Speaker: Qingsan Zhu
Affiliation: Tel Aviv University
We consider the critical branching random walk, i.e. branching random walk with random branching where the branching is according to an offspring distribution with mean one. We will introduce branching capacity for every finite subset in \Z^d (for d>=5) and give analogous results about hitting probabilities for random walks, under our setting.