MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

Vladimir Vatutin; Vitali Wachtel

doi:10.1017/apr.2018.86

MULTI-TYPE SUBCRITICAL BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

Vladimir Vatutin, Vitali Wachtel

Applied Probability Laboratory

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.

Original language	English
Pages (from-to)	281-289
Number of pages	9
Journal	Advances in Applied Probability
Volume	50
Issue number	A
DOIs	https://doi.org/10.1017/apr.2018.86
Publication status	Published - 1 Dec 2018

Keywords

Branching process
random environment
survival probability
conditional limit theorem
LIMIT-THEOREMS
PRODUCTS

Access to Document

10.1017/apr.2018.86

Link to publication in Scopus

Cite this

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abstract = "We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.",

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