电邮这篇文章 Critical Galton-Watson branching processes with a countable set of types and infinite second moments
- 作者: Vatutin V.A.1, Dyakonova E.E.1, Topchii V.A.2,3
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隶属关系:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Mathematical Center in Akademgorodok
- Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- 期: 卷 212, 编号 1 (2021)
- 页面: 3-27
- 栏目: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/133366
- DOI: https://doi.org/10.4213/sm9402
- ID: 133366
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详细
We consider an indecomposable Galton-Watson branching process with a countable set of types. Assuming that the process is critical and may have infinite variance of the offspring sizes of some (or all) types of particles we describe the asymptotic behaviour of the survival probability of the process and establish a Yaglom-type conditional limit theorem for the infinite-dimensional vector of the number of particles of all types. Bibliography: 20 titles.
作者简介
Vladimir Vatutin
Steklov Mathematical Institute of Russian Academy of Sciences
Email: vatutin@mi-ras.ru
Doctor of physico-mathematical sciences, Professor
Elena Dyakonova
Steklov Mathematical Institute of Russian Academy of Sciences
Email: elena@mi-ras.ru
Doctor of physico-mathematical sciences, Head Scientist Researcher
Valentin Topchii
Mathematical Center in Akademgorodok; Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Email: topchij@gmail.com
Doctor of physico-mathematical sciences, Professor
参考
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