Branching Random Walks

Ecole d'Ete de Probabilites de Saint-Flour XLII - 2012

af Zhan Shi

Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time.