Linear-fractional branching processes with countably many types

DOI10.1016/j.spa.2013.03.008zbMath1291.60176arXiv1111.4689OpenAlexW2107010481MaRDI QIDQ2447695

Serik Sagitov

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1111.4689

zbMATH Keywords

renewal theoryPerron-Frobenius theoremCrump-Mode-Jagers processBienaymé-Galton-Watson processcontour processmalthusian parameter\(R\)-positive recurrencemultivariate linear-fractional distributionspinal representation

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

A Special Family of Galton-Watson Processes with Explosions, Complete Classification of Catalytic Branching Processes, Multitype branching processes in random environment, General linear-fractional branching processes with discrete time, Recurrence property for Galton-Watson processes in which individuals have variable lifetimes, Perron–Frobenius theory for kernels and Crump–Mode–Jagers processes with macro-individuals, 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, Extinction Probabilities of Branching Processes with Countably Infinitely Many Types, The extinction time of a subcritical branching process related to the SIR epidemic on a random graph, The coalescent point process of multi-type branching trees, Critical Galton-Watson branching processes with a countable set of types and infinite second moments

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