The survival probability of a critical multi-type branching process in i.i.d. random environment

Abstract : Conditioned on the generating functions of offspring distribution, we study the asymp-totic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d. random environments by using limits theorems for products of positive random matrices. Under some certain assumptions, the survival probability is proportional to 1/ √ n.
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Annals of Probability, In press
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https://hal.archives-ouvertes.fr/hal-01705787
Contributeur : Quansheng Liu <>
Soumis le : vendredi 9 février 2018 - 18:01:06
Dernière modification le : jeudi 29 novembre 2018 - 16:50:30

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  • HAL Id : hal-01705787, version 1

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Emile Le Page, Marc Peigné. The survival probability of a critical multi-type branching process in i.i.d. random environment . Annals of Probability, In press. 〈hal-01705787〉

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