Functional limit theorems for Galton-Watson processes with very active immigration

DOI10.1016/j.spa.2017.04.012zbMath1375.60075arXiv1612.01573OpenAlexW2583012629MaRDI QIDQ1683819

Zakhar Kabluchko, Aleksander M. Iksanov

Publication date: 1 December 2017

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

Full work available at URL: https://arxiv.org/abs/1612.01573

zbMATH Keywords

functional limit theoremperpetuityextremal processGalton-Watson process with immigration

Mathematics Subject Classification ID

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

Related Items (1)

On transient phenomena in branching random processes with discrete time

Cites Work

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• Extremal shot noises, heavy tails and max-stable random fields
• Functional limit theorems for divergent perpetuities in the contractive case
• A note on the supercritical Galton-Watson process with immigraiton
• On the supercritical Galton-Watson process with immigration
• Limit theorems for the simple branching process allowing immigration, I. The case of finite offspring mean
• Weak convergence of probability measures and random functions in the function space D[0,∞)

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