Extinction of branching symmetric α-stable processes

被引：4
|
作者：
Shiozawa, Yuichi [1 ]
机构：
[1] Tohoku Univ, Inst Math, Aoba Ku, Sendai, Miyagi 9808578, Japan
来源：
JOURNAL OF APPLIED PROBABILITY | 2006年 / 43卷 / 04期
关键词：
branching process; extinction; local extinction; Brownian motion; symmetric alpha-stable process; time change; principal eigenvalue; gaugeability;
D O I：
10.1239/jap/1165505209
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We give a criterion for extinction or local extinction of branching symmetric alpha-stable processes in terms of the principal eigenvalue for time-changed processes of symmetric alpha-stable processes. Here the branching rate and the branching mechanism are spatially dependent. In particular, the branching rate is allowed to be singular with respect to the Lebesgue measure. We apply this criterion to some branching processes.
引用
收藏
页码：1077 / 1090
页数：14
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