Multitype weakly subcritical branching processes in random environment

被引：2
|
作者：
Vatutin, Vladimir A. [1 ]
Dyakonova, Elena E. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
DISCRETE MATHEMATICS AND APPLICATIONS | 2021年 / 31卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
multitype branching processes; random environment; survival probability; change of measure; LIMIT-THEOREMS;
D O I：
10.1515/dma-2021-0018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A multi-type branching process evolving in a random environment generated by a sequence of independent identically distributed random variables is considered. The asymptotics of the survival probability of the process for a long time is found under the assumption that the matrices of the mean values of direct descendants have a common left eigenvector and the increment.. of the associated random walk generated by the logarithms of the Perron roots of these matrices satisfies conditions EX < 0 and EXeX > 0.
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页码：207 / 222
页数：16
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