Hausdorff Dimension and Measure of a Class of Subsets of the General Sierpinski Carpets

被引：0
|
作者：
Yong Xin GUI Department of Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 2010年 / 26卷 / 07期
关键词：
the general Sierpinski carpets; Hausdorff dimension; Hausdorff measure;
D O I：
暂无
中图分类号：
O174.12 [测度论];
学科分类号：
070104 ;
摘要：
In this paper we study a class of subsets of the general Sierpinski carpets for which twogroups of allowed digits occur in the expansions with proportional frequency. We calculate the Hausdorffand Box dimensions of these subsets and give necessary and sufficient conditions for the correspondingHausdorff measure to be positive and finite.
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页码：1369 / 1382
页数：14
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