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

M Peigné; C Pham

Preprints, Working Papers, ... Year : 2023

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

(1) ,

M Peigné

Function : Author

Institut Denis Poisson

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.

Keywords

multitype branching process survival probability random environment product of random matrices weakly subcritical case

Domains

Probability [math.PR]

Fichier principal

BP-souscritiqueV6.pdf (200.67 Ko)

Origin : Files produced by the author(s)

Marc Peigné : Connect in order to contact the contributor

https://hal.utc.fr/hal-03939557

Submitted on : Sunday, January 15, 2023-9:22:16 AM

Last modification on : Friday, March 24, 2023-2:53:30 PM

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 1
ARXIV : 2301.06932

Cite

M Peigné, C Pham. The survival probability of a weakly subcritical multitype branching process in iid random environment. 2023. ⟨hal-03939557v1⟩