Asymptotic properties of branching processes in random environment

被引：55
作者：
Guivarc'h, Y
Liu, QS
机构：
[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France
[2] Univ Bregagne Sud, LMAM, F-56017 Vannes, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 04期
关键词：
D O I：
10.1016/S0764-4442(00)01783-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (Z(n)) be a branching process in a random environment. If the process in sub-critical or critical, we study the convergence rate of the survival probability P(Z(n) > 0) as n --> infinity: if the process is supercritical, we give a necessary and sufficient condition for the convergence in L-P of the natural martingale, where p > 1 is given. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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收藏
页码：339 / 344
页数：6
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