A pathwise approach to the extinction of branching processes with countably many types

DOI10.1016/j.spa.2018.03.013zbMath1409.60126arXiv1605.03069OpenAlexW2792984800WikidataQ129736485 ScholiaQ129736485MaRDI QIDQ1730927

Sophie Hautphenne, Geoffrey Decrouez, Peter Braunsteins

Publication date: 6 March 2019

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03069

zbMATH Keywords

extinction probabilityextinction criterionmultitype branching processpathwise approach

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Discrete-time Markov processes on general state spaces (60J05) Numerical computation of solutions to systems of equations (65H10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Galton--Watson Processes and Their Role as Building Blocks for Branching Processes ⋮ 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 ⋮ 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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