Email this article Asymptotic behaviour of the survival probability of almost critical branching processes in a random environment
- Authors: Kharlamov V.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 215, No 1 (2024)
- Pages: 131-152
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/251797
- DOI: https://doi.org/10.4213/sm9923
- ID: 251797
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Abstract
A generalization of the well-known result concerning the survival probability of a critical branching process in random environment $Z_k$ is considered. The triangular array scheme of branching processes in random environment $Z_{k,n}$ that are close to $Z_k$ for large n is studied. The equivalence of the survival probabilities for the processes $Z_{n,n}$ and $Z_n$ is obtained under rather natural assumptions on the closeness of Zk,n and Zk.
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About the authors
Victor Vladimirovich Kharlamov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: math-net2025_06@mi-ras.ru
without scientific degree, no status
References
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