The Structure of Decomposable Reduced Branching Processes. II. Functional Limit Theorems

DOI10.1137/S0040585X97T987454zbMath1337.60217OpenAlexW2289351314MaRDI QIDQ2790682

Vladimir A. Vatutin

Publication date: 8 March 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t987454

zbMATH Keywords

branching processesconditional functional limit theoremsmost recent ancestorreduced processes

Mathematics Subject Classification ID

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

Related Items (6)

Rerooting multi-type branching trees: the infinite spine case ⋮ A conditional functional limit theorem for decomposable branching processes with two types of particles ⋮ A subcritical decomposable branching process in a mixed environment ⋮ Limit theorems for bounded branching processes ⋮ Decomposable branching processes with two types of particles ⋮ Reduced processes evolving in a mixed environment

Cites Work

• The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions
• Limit Theorems for Reduced Branching Processes in a Random Environment
• The Structure of Reduced Critical GALTON-WATSON Processes
• Limit laws for decomposable critical branching processes
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