Limit theorems for decomposable branching processes in a random environment

DOI10.1239/jap/1445543853zbMath1326.60144arXiv1403.0746OpenAlexW2963595968MaRDI QIDQ3449939

Vladimir A. Vatutin, Quan-sheng Liu

Publication date: 30 October 2015

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

Full work available at URL: https://arxiv.org/abs/1403.0746

zbMATH Keywords

random environmentlimit theoremssurvival probabilitydecomposable branching processes

Mathematics Subject Classification ID

Applications of branching processes (60J85) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items

Multitype branching processes in random environment ⋮ Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case ⋮ A subcritical decomposable branching process in a mixed environment ⋮ Path to survival for the critical branching processes in a random environment ⋮ Reduced processes evolving in a mixed environment

Cites Work

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• Criticality for branching processes in random environment
• A decomposable branching process in a Markovian environment
• Limit laws for decomposable critical branching processes
• The Survival Probability of a Critical Branching Process in a Random Environment
• On the maximum of a critical branching process in a random environment
• On Branching Processes in Random Environments

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