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Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2008

On subcritical multi-type branching process in random environment

Résumé

We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables. Suppose that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices has negative mean and assuming some additional conditions, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.
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Dates et versions

hal-01194585 , version 1 (07-09-2015)

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Elena Dyakonova. On subcritical multi-type branching process in random environment. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.397-404, ⟨10.46298/dmtcs.3579⟩. ⟨hal-01194585⟩

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