The survival probability of a weakly subcritical multitype branching process in iid random environment - Université de technologie de Compiègne
Preprints, Working Papers, ... Year : 2023

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

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.
Fichier principal
Vignette du fichier
BP-souscritiqueV7.pdf (200.27 Ko) Télécharger le fichier
Origin Files produced by the author(s)

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

Cite

M Peigné, Thi da Cam Pham. The survival probability of a weakly subcritical multitype branching process in iid random environment. 2023. ⟨hal-03939557v3⟩
81 View
42 Download

Altmetric

Share

More