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.

引用

页码：2431 / 2458

页数：28

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