Subsets of the general sierpinski carpet with mixed group frequencies

Yongxin Gui; Wenxia Li

doi:10.1142/S0129167X09005765

Subsets of the general sierpinski carpet with mixed group frequencies

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

摘要

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

源语言	英语
页（从-至）	1289-1303
页数	15
期刊	International Journal of Mathematics
卷	20
期	10
DOI	https://doi.org/10.1142/S0129167X09005765
出版状态	已出版 - 10月 2009

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@article{0296151406824b7095a911ec836ee48b,

title = "Subsets of the general sierpinski carpet with mixed group frequencies",

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

keywords = "Hausdorff dimension, Hausdorff measure, Mixing group frequencies, Sierpinski carpets",

author = "Yongxin Gui and Wenxia Li",

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AU - Gui, Yongxin

AU - Li, Wenxia

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

KW - Hausdorff dimension

KW - Hausdorff measure

KW - Mixing group frequencies

KW - Sierpinski carpets

UR - https://www.scopus.com/pages/publications/70449377906

U2 - 10.1142/S0129167X09005765

DO - 10.1142/S0129167X09005765

M3 - 文章

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VL - 20

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EP - 1303

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 10

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Subsets of the general sierpinski carpet with mixed group frequencies

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