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Critical branching processes in a sparse random environment (2306.06730v1)
Published 11 Jun 2023 in math.PR
Abstract: We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-type limit theorems, that is, limit theorems for the size of population conditioned on the survival event.
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