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

Published 17 Jan 2023 in math.PR | (2301.06932v3)

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 $\rhoⁿ n ^{-3/2}$ for some $\rho \in (0, 1)$ to specify.

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