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Preprints, Working Papers, ... Year : 2023

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

M Peigné
• Function : Author
C Pham
• Function : Author

#### 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.

#### Domains

Mathematics [math] Probability [math.PR]

### Dates and versions

hal-03939557 , version 1 (15-01-2023)
hal-03939557 , version 2 (17-01-2023)
hal-03939557 , version 3 (29-01-2023)

### Identifiers

• HAL Id : hal-03939557 , version 3
• ARXIV :

### Cite

M Peigné, C Pham. The survival probability of a weakly subcritical multitype branching process in iid random environment. 2023. ⟨hal-03939557v3⟩

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