Intersections of homogeneous Cantor sets with their translations

DOI10.1007/S10114-008-6200-XzbMath1167.28003OpenAlexW2166917104MaRDI QIDQ2519338

Meifeng Dai

Publication date: 26 January 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-008-6200-x

zbMATH Keywords

discrete spectrumintersectionfractal structureHomogeneous Cantor set

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Some dimensional results for homogeneous Moran sets
• Intersection of triadic Cantor sets with their translates. II: Hausdorff measure spectrum function and its introduction for the classification of Cantor sets
• Intersection of triadic Cantor sets with their translates. I: Fundamental properties
• Intersection of the Sierpinski carpet with its rational translate
• Hausdorff measure of homogeneous Cantor set

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