Critical branching processes in a sparse random environment

Critical branching processes in a sparse random environment

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...

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Bibliographic Details
Main Authors: Dariusz Buraczewski, Congzao Dong, Alexander Iksanov, Alexander Marynych
Format: Article
Language:English
Published: VTeX 2023-08-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Branching process
functional limit theorem
random environment
survival probability
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA231

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