On the asymptotic patterns of supercritical branching processes in varying environments

DOI10.1214/aoap/1034968232zbMath0869.60075OpenAlexW1975846420MaRDI QIDQ2564694

Harry Cohn

Publication date: 13 August 1997

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

Full work available at URL: https://doi.org/10.1214/aoap/1034968232

zbMATH Keywords

martingalelimit distributionGalton-Watson processvarying environmentsupercritical martingale

Mathematics Subject Classification ID

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

Related Items (2)

Multitype branching limit behavior ⋮ Resource dependent branching processes and the envelope of societies

Cites Work

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• On a property related to convergence in probability and some applications to branching processes
• Limit theorems for the supercritical Galton-Watson process in varying environments
• The supercritical Galton-Watson process in varying environments -- Seneta-Heyde norming
• Asymptotically one-dimensional diffusions on the Sierpinski gasket and the \(abc\)-gaskets
• Almost sure convergence of branching processes in varying and random environments
• A GALTON-WATSON BRANCHING PROCESS IN VARYING ENVIRONMENTS WITH ESSENTIALLY CONSTANT OFFSPRING MEANS AND TWO RATES OF GROWTH1
• On the continuity and the positivity of the finite part of the limit distribution of an irregular branching process with infinite mean
• On infinite composition products of probability generating functions

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