Functional limit theorems for high-level subcritical branching processes in random environment

Author:

Afanasyev Valeriy I.

Abstract

AbstractThe paper is concerned with subcritical branching process in random environment. It is assumed that the moment-generating function of steps of the associated random walk is equal to 1 for some positive value of the argument. Functional limit theorems for sizes of various generations and passage times to various levels are put forward.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Precise large deviation estimates for branching process in random environment;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-08-01

2. Subcritical Branching Processes in Random Environment;Branching Processes and Their Applications;2016

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