The survival probability of a critical multi-type branching process in i.i.d. random environment

DOI10.1214/17-AOP1243zbMath1445.60063WikidataQ129337085 ScholiaQ129337085MaRDI QIDQ1800823

Yanyan Li

Publication date: 24 October 2018

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1535097643

zbMATH Keywords

critical caserandom environmentsurvival probabilitymulti-type branching processproduct of random matrices

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (13)

Central limit theorem for a critical multitype branching process in random environments ⋮ Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment ⋮ Asymptotic properties of a supercritical branching process with immigration in a random environment ⋮ Multitype branching processes in random environment ⋮ The survival probability for a class of multitype subcritical branching processes in 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 ⋮ Moderate deviations and local limit theorems for the coefficients of random walks on the general linear group ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments ⋮ Conditioned limit theorems for products of positive random matrices ⋮ Multi-type subcritical branching processes in a random environment ⋮ Multitype weakly subcritical branching processes in random environment ⋮ Properties of multitype subcritical branching processes in random environment

Cites Work

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• Products of Random Matrices
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