Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment

preprint2012arXivOpen access

Abstract

Intermediately subcritical branching processes in random environment are at the borderline between two subcritical regimes and exhibit a particularly rich behavior. In this paper, we prove a functional limit theorem for these processes. It is discussed together with two other recently proved limit theorems for the intermediately subcritical case and illustrated by several computer simulations.

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