Total Population Size in Critical Branching Processes in a Random Environment

被引：0

作者：

Vatutin, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 91卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

branching processes in random environment; offspring number; tail distribution; population size; generating function; random walk; Levy process; LIMIT-THEOREMS; RANDOM-WALKS; EXTINCTION;

D O I：

10.1134/S0001434612010026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a critical branching process evolving in a random environment and having geometric distributions of offspring sizes, we study the tail behavior of the distributions of the total size of the population and the maximal number of particles in a generation up to the moment of extinction of the process.

引用

页码：12 / 21

页数：10

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