Upcoming events

In 2013, Elie Aı̈dékon obtained the convergence in distribution, as time n goes to infinity, of the maximum of a supercritical branching random walk, once recentered by an explicit function m(n). More recently, Lianghui Luo gave an asymptotic equivalent for the upper large deviation probabilities of this maximum. In this talk, I will present a joint work with Lianghui Luo in which we study an intermediate regime. We obtain an asymptotic equivalent for the probability that the maximum arrives at distance x(n) above m(n), where 1 << x(n) = O(sqrt(n)).