Reduced multitype critical branching processes in random environment

被引：1
作者：
Dyakonova, Elena E. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
DISCRETE MATHEMATICS AND APPLICATIONS | 2018年 / 28卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
multitupe branching processes; reduced branching processes; random environment;
D O I：
10.1515/dma-2018-0002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a multitype critical branching process Z(n, n) = 0, 1,..., in an i.i.d. random environment. Let Z(m,n) be the number of particles in this process at time.. having descendants at time m A limit theorem is proved for the logarithm of Z(nt,n) at moments nt, 0 <= t <= 1, conditioned on the survival of the process Z(n) up to moment n when n -> infinity.
引用
收藏
页码：7 / 22
页数：16
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