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

2023/01/17 by M Peigné, Peigné, M, Thi Da Cam Pham +1
Mathematics · Physics and Astronomy · #Applied mathematics #Branching (polymer chemistry) #Branching process #Combinatorics #Computer science #Demography #Extinction (optical mineralogy) #Extinction probability #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Materials science #Mathematics #Physics #Population #Probability (math.PR) #Process (computing) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2301.06932

openalex publication_date 2023/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 ρⁿ n ^-3/2 for some ρ∈ (0, 1) to specify.

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