Extinction Probabilities of Branching Processes with Countably Infinitely Many Types

DOI10.1239/aap/1386857858zbMath1287.60102arXiv1211.4129OpenAlexW2067693023MaRDI QIDQ5396592

Sophie Hautphenne, Guy Latouche, Giang T. Nguyen

Publication date: 31 January 2014

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4129

zbMATH Keywords

iterative methodextinction probabilitymultitype branching processextinction criteria

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 (13)

Complete Classification of Catalytic Branching Processes ⋮ A Structured Markov Chain Approach to Branching Processes ⋮ A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence ⋮ Recurrence property for Galton-Watson processes in which individuals have variable lifetimes ⋮ Extinction probabilities in branching processes with countably many types: a general framework ⋮ A countable-type branching process model for the tug-of-war cancer cell dynamics ⋮ The probabilities of extinction in a branching random walk on a strip ⋮ A pathwise approach to the extinction of branching processes with countably many types ⋮ Global survival of branching random walks and tree-like branching random walks ⋮ The extinction time of a subcritical branching process related to the SIR epidemic on a random graph ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ Critical Galton-Watson branching processes with a countable set of types and infinite second moments

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