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

页码：696 / 708

页数：13

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