The behavior of super-Brownian motion near extinction

被引：0

作者：

Guo, JY ^{[1
]}

Wu, R ^{[1
]}

机构：

[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

来源：

ACTA MATHEMATICA SINICA-NEW SERIES | 1998年 / 14卷 / 03期

关键词：

super-Brownian motion; extinction behaviour; branching mechanism;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We start from a super-Brownian motion with the branching mechanism presented by Dawson and Vinogradov. Its behaviour near extinction is studied in this paper, and the main result is that the diameter of the support tends to zero almost surely at the time of extinction.

引用

页码：315 / 320

页数：6

共 5 条

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DAWSON, DA
ISCOE, I
PERKINS, EA
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[2] ALMOST-SURE PATH PROPERTIES OF (2,D,BETA)-SUPERPROCESSES
DAWSON, DA
VINOGRADOV, V
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1994, 51 (02) : 221 - 258
[3] GUO J, 1995, THESIS NANKAI U
[4] ON THE EXTINCTION OF MEASURE-VALUED CRITICAL BRANCHING BROWNIAN-MOTION
LIU, L
MUELLER, C
[J]. ANNALS OF PROBABILITY, 1989, 17 (04) : 1463 - 1465
[5] THE BEHAVIOR OF SUPERPROCESSES NEAR EXTINCTION
TRIBE, R
[J]. ANNALS OF PROBABILITY, 1992, 20 (01) : 286 - 311

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