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

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
Hubei University of Science and Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	75-89
Number of pages	15
Journal	Acta Scientiarum Mathematicarum
Volume	75
Issue number	1-2
State	Published - 2009

Keywords

Hausdorff dimension
Hausdorff measure
Sierpinski carpets

Cite this

@article{b933425ac627420cb062fa2781a5c6f8,

title = "Hausdorff dimension of a class of subsets of the general Sierpinski carpet",

abstract = "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",

keywords = "Hausdorff dimension, Hausdorff measure, Sierpinski carpets",

author = "Yongxin Gui and Wenxia Li",

year = "2009",

language = "英语",

volume = "75",

pages = "75--89",

journal = "Acta Scientiarum Mathematicarum",

issn = "0001-6969",

publisher = "Springer International Publishing",

number = "1-2",

}

TY - JOUR

T1 - Hausdorff dimension of a class of subsets of the general Sierpinski carpet

AU - Gui, Yongxin

AU - Li, Wenxia

PY - 2009

Y1 - 2009

N2 - 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

AB - 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

KW - Hausdorff dimension

KW - Hausdorff measure

KW - Sierpinski carpets

UR - https://www.scopus.com/pages/publications/77957244047

M3 - 文章

AN - SCOPUS:77957244047

SN - 0001-6969

VL - 75

SP - 75

EP - 89

JO - Acta Scientiarum Mathematicarum

JF - Acta Scientiarum Mathematicarum

IS - 1-2

ER -

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

Abstract

Keywords

Other files and links

Fingerprint

Cite this