Extinction in lower Hessenberg branching processes with countably many types

DOI10.1214/19-AAP1464zbMath1439.60079arXiv1706.02919MaRDI QIDQ2286451

Peter Braunsteins, Sophie Hautphenne

Publication date: 22 January 2020

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02919

zbMATH Keywords

fixed pointextinction probabilityextinction criterionvarying environmentinfinite-type branching process

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Discrete-time Markov processes on general state spaces (60J05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (9)

Defective Galton-Watson processes in a varying environment ⋮ Recurrence property for Galton-Watson processes in which individuals have variable lifetimes ⋮ A unifying approach to branching processes in a varying environment ⋮ Extinction probabilities in branching processes with countably many types: a general framework ⋮ The probabilities of extinction in a branching random walk on a strip ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Rank-dependent Galton‒Watson processes and their pathwise duals ⋮ Branching random walks with uncountably many extinction probability vectors ⋮ Critical Galton-Watson branching processes with a countable set of types and infinite second moments

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