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

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 $n \to \infty$.
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Elena Dyakonova. Survival probability of a critical multi-type branching process in random environment. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.375-380, ⟨10.46298/dmtcs.3477⟩. ⟨hal-01184679⟩

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