The Hausdorff dimension of sets related to the general Sierpiński carpets

DOI10.1007/S10114-010-7453-8zbMath1187.28012OpenAlexW2402543099MaRDI QIDQ966558

Wenxia Li, Yong Xin Gui

Publication date: 23 April 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7453-8

zbMATH Keywords

Hausdorff dimensionHausdorff measuregeneral Sierpiński carpets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

Hausdorff dimension and measure of a class of subsets of the general Sierpiński carpets

Cites Work

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• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• Distribution of frequencies of digits via multifractal analysis
• The singularity spectrum for general Sierpiński carpets
• Hausdorff dimensions of sofic affine-invariant sets
• The Hausdorff dimension of general Sierpiński carpets
• The packing measure of self-affine carpets
• The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
• Measures of full dimension on affine-invariant sets
• The Hausdorff and Packing Dimensions of Some Sets Related to Sierpiński Carpets

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