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.

引用

页码：207 / 222

页数：16

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