On subcritical multi-type branching process in random environment

Autor: Elena Dyakonova
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AI,..., Iss Proceedings (2008)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.3579
Popis: 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 $n \to \infty$.
Databáze: Directory of Open Access Journals