The survival probability of a weakly subcritical multitype branching process in iid random environment

M Peigné; C Pham

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arXiv · 2301.06932

The survival probability of a weakly subcritical multitype branching process in iid random environment

M Peigné·C Pham

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Abstract

We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, the survival probability is of order of $\rho^n n ^{-3/2}$ for some $\rho \in (0, 1)$ to specify.

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M Peigné, C Pham. 2023-01-17. The survival probability of a weakly subcritical multitype branching process in iid random environment. https://arxiv.org/abs/2301.06932

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