Reduced Branching Processes in Random Environment: The Critical Case

DOI10.1137/S0040585X97979421zbMath1039.60077MaRDI QIDQ4442890

Vladimir A. Vatutin

Publication date: 21 January 2004

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

zbMATH Keywords

functional limit theoremrandom walkreduced processcritical branching process in random environment

Mathematics Subject Classification ID

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

Related Items (7)

On the genealogical structure of critical branching processes in a varying environment ⋮ The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions ⋮ How Many Families Survive for a Long Time? ⋮ Evolution of branching processes in a random environment ⋮ Reduced multitype critical branching processes in random environment ⋮ Criticality for branching processes in random environment ⋮ Path to survival for the critical branching processes in a random environment

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