The local times and Hausdorff measure for level sets of a Wiener sheet

被引：0
作者：
Lin, HN [1 ]
机构：
[1] Fujian Teachers Univ, Dept Math, Fuzhou 350007, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 06期
关键词：
Wiener sheet; level set; local time; Hausdorff measure;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the relation between the local times and the level sets of a Wiener sheet, and give moment estimates for the local times of a Wiener sheet. We show that the correct Hausdorff measure function for level sets of N-parameter R-d-valued Wiener sheet is phi (r) = r(N-d/2)(loglog1/r)(d/2) if 2 N > d. This solves the problem posed by S. J. Taylor.
引用
收藏
页码：696 / 708
页数：13
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