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Article Dans Une Revue Annals of Probability Année : 2018

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

Résumé

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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Dates et versions

hal-01705787 , version 1 (09-02-2018)

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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, 2018, 46 (5), pp.2946-2972. ⟨hal-01705787⟩
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