The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions

DOI10.1137/S0040585X97T987326zbMath1337.60216MaRDI QIDQ3462256

Vladimir A. Vatutin

Publication date: 5 January 2016

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

zbMATH Keywords

limit theoremsdecomposable branching processesgenealogical treesreduced processes

Mathematics Subject Classification ID

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

Related Items (9)

Atypical Population Size in a Two-Type Decomposable Branching Process ⋮ Rerooting multi-type branching trees: the infinite spine case ⋮ Extinction of decomposable branching processes ⋮ A conditional functional limit theorem for decomposable branching processes with two types of particles ⋮ Decomposable branching processes with a fixed extinction moment ⋮ A subcritical decomposable branching process in a mixed environment ⋮ Decomposable branching processes with two types of particles ⋮ The Structure of Decomposable Reduced Branching Processes. II. Functional Limit Theorems ⋮ Reduced processes evolving in a mixed environment

Cites Work

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• Ein Grenzwertsatz für subkritische Verzweigungsprozesse mit endlich vielen Typen von Teilchen
• Reduced Branching Processes in Random Environment: The Critical Case
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