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.

引用

页码：1369 / 1382

页数：14

共 50 条

[1] Hausdorff dimension and measure of a class of subsets of the general Sierpinski carpets
Yong Xin Gui
[J]. Acta Mathematica Sinica, English Series, 2010, 26 (7) : 1369 - 1382
[2] Hausdorff dimension and measure of a class of subsets of the general Sierpinski carpets
Gui, Yong Xin
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (07) : 1369 - 1382
[3] THE HAUSDORFF DIMENSION OF GENERAL SIERPINSKI CARPETS
MCMULLEN, C
[J]. NAGOYA MATHEMATICAL JOURNAL, 1984, 96 (DEC) : 1 - 9
[4] The Hausdorff measure of a class of Sierpinski carpets
Xiong, YH
Zhou, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) : 121 - 129
[5] Hausdorff dimension of a class of subsets of the general Sierpinski carpet
Gui, Yongxin
Li, Wenxia
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2009, 75 (1-2): : 75 - 89
[6] The Hausdorff Dimension of Sets Related to the General Sierpinski Carpets
Yong Xin GUI Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (04) : 731 - 742
[7] The Hausdorff dimension of sets related to the general Sierpinski carpets
Yong Xin Gui
Wen Xia Li
[J]. Acta Mathematica Sinica, English Series, 2010, 26 : 731 - 742
[8] The Hausdorff dimension of sets related to the general Sierpinski carpets
Gui, Yong Xin
Li, Wen Xia
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (04) : 731 - 742
[9] The multifractal Hausdorff and packing measure of general Sierpinski carpets
Huang, LH
Yu, JH
[J]. ACTA MATHEMATICA SCIENTIA, 2000, 20 (03) : 313 - 321
[10] THE MULTIFRACTAL HAUSDORFF AND PACKING MEASURE OF GENERAL SIERPINSKI CARPETS
黄立虎
余旌胡
[J]. Acta Mathematica Scientia, 2000, (03) : 313 - 321

← 1 2 3 4 5 →