On the growth of the multitype supercritical branching process in a random environment

DOI10.1214/aop/1176991259zbMath0693.60072OpenAlexW1998048486MaRDI QIDQ908592

Harry Cohn

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1214/aop/1176991259

zbMATH Keywords

random environmentGalton-Watson processmultitype branching processFuerstenberg-Kesten theorem

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) (L^p)-limit theorems (60F25)

Related Items (15)

Multi-type branching in varying environment ⋮ Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment ⋮ Convergence in probability and almost sure with applications. ⋮ A note on multitype branching processes with immigration in a random environment ⋮ Infinitely dimensional control Markov branching chains in random environments ⋮ Multitype branching processes in random environment ⋮ Branching processes. II ⋮ On the convergence of multitype branching processes with varying environments ⋮ Renewal theory in a random environment ⋮ A Kesten-Stigum type theorem for a supercritical multitype branching process in a random environment ⋮ Large deviation expansions for the coefficients of random walks on the general linear group ⋮ Queueing for an infinite bus line and aging branching process ⋮ Multitype branching limit behavior ⋮ Ancestral lineages and limit theorems for branching Markov chains in varying environment ⋮ The laplace functional and moments for Markov branching chains in random environments

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