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The Hausdorff measure of a Sierpinski carpet

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Abstract

The exact value of the Hausdorff measure of a Sierpinski carpet has been obtained.

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References

  1. Falconer, K., Fractal Geometry—Mathematical Foundatioru and Applications, New, York: John Wiley, 1990.

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  2. Zhou, Z. L., The Hausdorff measure of the self-similar sets—the Koch curve, Science in China (in Chinese), Ser. A, 1998, 28 (2): 103.

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Authors and Affiliations

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

    Zhou Zuoling

  2. Department of Mathematics, Hubei University, 430062, Wuhan, China

    Wu Min

Authors
  1. Zhou Zuoling
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  2. Wu Min
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Additional information

Project partially supported by the Science Foundation of Guangdong Province.

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Zhou, Z., Wu, M. The Hausdorff measure of a Sierpinski carpet. Sci. China Ser. A-Math. 42, 673–680 (1999). https://doi.org/10.1007/BF02878985

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  • DOI: https://doi.org/10.1007/BF02878985

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