Hausdorff dimension of a class of subsets of the general Sierpinski carpet

Yongxin Gui; Wenxia Li

Hausdorff dimension of a class of subsets of the general Sierpinski carpet

Yongxin Gui^*
, Wenxia Li

^*此作品的通讯作者

数学科学学院

East China Normal University
Hubei University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We consider a class of subsets of the general Sierpinski carpet which are characterized by insisting that the allowed digits in the expansion occur with prescribed group frequencies, determine their Hausdorff dimensions and give the necessary and sufficient conditions for their corresponding Hausdorff measures to be positive finite. All rights reserved

源语言	英语
页（从-至）	75-89
页数	15
期刊	Acta Scientiarum Mathematicarum
卷	75
期	1-2
出版状态	已出版 - 2009

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Hausdorff dimension of a class of subsets of the general Sierpinski carpet

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