On the occupation measure of super-Brownian motion

被引：2
|
作者：
Le Gall, Jean-Francois
Merle, Mathieu
机构：
[1] ENS, DMA, F-75005 Paris, France
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1W5, Canada
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2006年 / 11卷
关键词：
super-Brownian motion; occupation measure; limit distribution;
D O I：
10.1214/ECP.v11-1225
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 derive the asymptotic behavior of the occupation measure Z(B-1) of the unit ball for super-Brownian motion started from the Dirac measure at a distant point x and conditioned to hit the unit ball. In the critical dimension d = 4, we obtain a limiting exponential distribution for the ratio Z(B-1)/ log | x|.
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页码：252 / 265
页数：14
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