Variational formula related to the self-affine Sierpinski carpets

DOI10.1002/MANA.201400210zbMath1314.28007OpenAlexW2171800280MaRDI QIDQ5248787

Wenxia Li, Dongmei Xiao, Yong Xin Gui

Publication date: 11 May 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400210

zbMATH Keywords

Hausdorff dimensiondigit frequencygroup frequencyself-affine Sierpinski carpet

Mathematics Subject Classification ID

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

Cites Work

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• Hausdorff dimension of the limit sets of some planar geometric constructions
• Statistically self-affine sets: Hausdorff and box dimensions
• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• Self-affine sets and graph-directed systems
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• Hausdorff dimensions of sofic affine-invariant sets
• The Hausdorff dimension of general Sierpiński carpets
• A random version of McMullen–Bedford general Sierpinski carpets and its application
• The Hausdorff dimension of self-affine fractals
• 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
• Hausdorff dimension of subsets with proportional fibre frequencies of the general Sierpinski carpet

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