Abstract:
The branching random walk is a random walk with a branching mechanism. Maybe more interestingly, it can be viewed as a branching process in which each individual in the population is endowed with a spatial parameter representing the fitness of the individual. In the talk, I will be interested in the supercritical regime, and will make a few elementary discussions on asymptotic properties of extreme values in the branching random walk. Joint work with E. Aidekon and Y. Hu.