On the connected components of the support of super Brownian motion and of its exit measure

被引：4
作者：
Abraham, R
机构：
[1] Université René Descartes, UFR de Mathématiques et d'Informatique, Centre Universitaire des Saints Pères, 75270 Paris Cedex 06
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1995年 / 60卷 / 02期
关键词：
super Brownian motion; exit measure; Brownian snake;
D O I：
10.1016/0304-4149(95)00060-7
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：
Tribe proved in a previous paper that a typical point of the support of super Brownian motion considered at a fixed time is a.s. disconnected from the others when the space dimension is greater than or equal to 3. We give here a simpler proof of this result based on Le Gall's Brownian snake. This proof can then be adapted in order to obtain an analogous result for the support of the exit measure of the super Brownian motion from a smooth domain of R(d) when d is greater than or equal to 4.
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页码：227 / 245
页数：19
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