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Hausdorff measure of Sierpinski gasket

  • Science in China (series A)
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Abstract

By forming a sequence of coverings of the Sierpinski gasket, a descending sequence of the upper limits of Hausdorff measure is obtained. The limit of the sequence is the best upper limit of the Hausdorff measure known so far.

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References

  1. Marion, J., Mesures de Hausdoff d— ensembles fractals,Ann. SC. Math. Quebec, 1987, 11 (1): 111.

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  2. Zhou Zuoling, The Hausdorff measures of the Koch curve and Sierpinski gasket,Progress in Natural Science, 1997, 7(4): 401.

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  3. Falconer, K.,Fractal Geometry, New Yrok: John Wiley and Sons, 1990.

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Authors and Affiliations

  1. Lingnan College, Zhongshan University, 510275, Guangzhou, China

    Zuoling Zhou

Authors
  1. Zuoling Zhou
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Additional information

Project partially supported by the Foundation of Guangdong Province and the Foundation of Advanced Research Centre, Zhongshan University.

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Zhou, Z. Hausdorff measure of Sierpinski gasket. Sci. China Ser. A-Math. 40, 1016–1021 (1997). https://doi.org/10.1007/BF03182360

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  • DOI: https://doi.org/10.1007/BF03182360

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