SUBSETS OF THE GENERAL SIERPINSKI CARPET WITH MIXED GROUP FREQUENCIES

DOI10.1142/S0129167X09005765zbMath1178.28011MaRDI QIDQ3648309

Wenxia Li, Yong Xin Gui

Publication date: 25 November 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionHausdorff measureSierpiński carpetsmixing group frequencies

Mathematics Subject Classification ID

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

Cites Work

• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• Distribution of frequencies of digits via multifractal analysis
• The singularity spectrum for general Sierpiński carpets
• Weak quasi-Bernoulli measures: results and examples
• 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
• The Hausdorff and Packing Dimensions of Some Sets Related to Sierpiński Carpets
• The Hausdorff Dimension of the Graphs of Continuous Self-Affine Functions

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