Branching processes in a Markov random environment

被引：2

作者：

Dyakonova, Elena E. ^{[1
]}

机构：

[1] RAS, Steklov Math Inst, Moscow, Russia

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2014年 / 24卷 / 06期

关键词：

branching process; functional limit theorem; Markov random environment;

D O I：

10.1515/dma-2014-0029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with critical branching processes in a Markov random environment. A conditional functional limit theorem for the number of particles in a process and a conditional invariance principle are proved. The asymptotic tail behaviour for the distributions of the maximum and the total number of particles in a process is found.

引用

收藏

页码：327 / 343

页数：17

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