Maximal displacement of critical centered branching random walks

par Thomas Lehéricy (Université de Zurich)

mardi 16 sept. 2025, 09:50 → 10:50 Europe/Paris

Amphi Schwartz

We consider the branching random walk with critical, finite-variance branching distribution and zero-mean displacement with finite fourth moment. The motivation comes from the study of Boltzmann-distributed random maps in the domain of attraction of the Brownian sphere. The first part of our work establishes the tail of the distribution of the maximum displacement, and generalizes Lalley and Shao (2015). A second part studies the number of individuals in the branching random walk when we condition the maximum displacement to be large.