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Conditional limit theorems for intermediately subcritical branching processes in random environment

V. I. AfanasyevCh. BöinghoffG. KerstingV. A. Vatutin — 2014

Annales de l'I.H.P. Probabilités et statistiques

For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. For the subcritical regime a kind of phase transition appears. In this paper we study the intermediately subcritical case, which constitutes the borderline within this phase transition. We study the asymptotic behavior of the survival probability. Next the size of the population and the shape of the random environment...

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