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Bounds on the Hausdorff measure of level-\(N\) Sierpinski gaskets

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Publication:2109078
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DOI10.2140/involve.2022.15.379OpenAlexW4312048903MaRDI QIDQ2109078

Edwin Lin, Andrea Arauza Rivera

Publication date: 20 December 2022

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2022.15.379


zbMATH Keywords

Hausdorff dimensionHausdorff measurefractalsSierpinski gasketfractal


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78)




Cites Work

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  • Hausdorff measure of Sierpiński gasket
  • Hausdorff measures of the Koch curve and the Sierpiński gasket
  • On Newman-type rational interpolation to |x| at the Chebyshev nodes of the second kind
  • ESTIMATE OF THE HAUSDORFF MEASURE OF THE SIERPINSKI TRIANGLE
  • A new estimate of the Hausdorff measure of the Sierpinski gasket
  • A lower bound for the Hausdorff measure of the Sierpinski gasket
  • An approximation method to estimate the Hausdorff measure of the Sierpinski gasket


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