Hausdorff dimension of fiber-coding sub-Sierpiński carpets

DOI10.1016/j.jmaa.2006.08.071zbMath1125.28003OpenAlexW2064684965MaRDI QIDQ879088

Wenxia Li, Yong Xin Gui

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.071

zbMATH Keywords

Sierpiński carpetsHausdorff dimension, packing dimension

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items

Dimensions of random self-affine multifractal Sierpinski sponges in \({{\mathbb{R}}^d}\), Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\), A generalized multifractal spectrum of the general Sierpinski carpets, Packing spectra for Bernoulli measures supported on Bedford–McMullen carpets

Cites Work

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• 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