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Hausdorff dimension of self-similar sets with overlaps

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Publication:1042857
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DOI10.1007/s11425-008-0055-6zbMath1178.28005OpenAlexW2063543071MaRDI QIDQ1042857

John Harding, Qi-Rong Deng, Tian-You Hu

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0055-6



Mathematics Subject Classification ID

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


Related Items (3)

Fractal dimension for IFS-attractors revisited ⋮ How to calculate the Hausdorff dimension using fractal structures ⋮ Multiple codings of self-similar sets with overlaps



Cites Work

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  • Hausdorff measure of infinitely generated self-similar sets
  • Multifractal measures and a weak separation condition
  • A class of self-similar fractals with overlap structure
  • HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
  • Weak separation properties for self-similar sets
  • 𝛽-expansions with deleted digits for Pisot numbers 𝛽
  • On the Dimensions of Certain Incommensurably Constructed Sets
  • Iterated function systems with a weak separation condition
  • Dimensions and Measures in Infinite Iterated Function Systems


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