FRACTAL PROPERTIES OF POLAR SETS OF RANDOM STRING PROCESSES

被引：0

作者：

陈振龙 ^{[1
]}

机构：

[1] College of Statistics and Mathematics Zhejiang Gongshang University

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 03期

关键词：

random string process; hitting probability; polar set; Hausdorff dimension;

D O I：

暂无

中图分类号：

O211.6 [随机过程];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper studies fractal properties of polar sets for random string processes. We give upper and lower bounds of the hitting probabilities on compact sets and prove some sufficient conditions and necessary conditions for compact sets to be polar for the random string process. Moreover, we also determine the smallest Hausdorff dimensions of non-polar sets by constructing a Cantor-type set to connect its Hausdorff dimension and capacity.

引用

页码：969 / 992

页数：24

共 22 条

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