# Survival probability of a critical multi-type branching process in random environment

1 SMI - Steklov Mathematical Institute

Abstract : We study a multi-type branching process in i.i.d. random environment. Assuming that the associated random walk satisfies the Doney-Spitzer condition, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.

Keywords : Doney-Spitzer condition survival probability branching processes in random environment

Author: Elena Dyakonova -

Source: https://hal.archives-ouvertes.fr/