THE PACKING MEASURE OF THE RANGE OF SUPER-BROWNIAN MOTION

被引：2
|
作者：
Duquesne, Thomas [1 ]
机构：
[1] Univ Paris 04, Lab Probabilites & Modeles Aleatoires, F-75252 Paris 05, France
来源：
ANNALS OF PROBABILITY | 2009年 / 37卷 / 06期
关键词：
Super-Brownian motion; Brownian Snake; range; exact packing measure; RANDOM TREE;
D O I：
10.1214/09-AOP468
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 prove that the total range of Super-Brownian motion with quadratic branching mechanism has an exact packing measure with respect to the gauge function g(r) = r(4)(log log l/r)(-3) in super-critical dimensions d >= 5. More precisely, we prove that the total occupation measure of Super-Brownian motion is equal to the g-packing measure restricted to its range, up to a deterministic multiplicative constant that only depends on space dimension d.
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页码：2431 / 2458
页数：28
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