Limit theorems for decomposable branching processes in a random environment. (English) Zbl 1326.60144

Summary: We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.


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