Skip to main content
Log in

Hausdorff Measure of Homogeneous Cantor Set

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

This paper gives the Hausdorff measure of a class of homogeneous Cantor sets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. J. Falconer, The geometry of fractal sets, Cambridge University Press, 1985

  2. D. J. Marion, Measures de Hausdorff et theorie de Perron-Frobinius des matrice non-negatives, Ann. Inst. Fourier, Grenoble, 1985, 35(4):99–125

    MATH  MathSciNet  Google Scholar 

  3. Z. L. Zhou, M. Wu, The Hausdorff measure of Siepinski carpet, Science in China (Series A), 1990, 42(7):673–680

    Google Scholar 

  4. R. D. Mauldin, S. C. Williams, Scaling Hausdorff measures, Mathematika, 1989, 36:325–333

    MATH  MathSciNet  Google Scholar 

  5. D. J. Feng, H. Rao, J. Wu, The net measure properties of one dimensional homogeneous Cantor set and its applications, Progr. Nat. Sci., 1996, 6(6):673–678

    Google Scholar 

  6. D. J. Feng, Z. Y. Wen, J. Wu, Dimension of the homogeneous Moran sets, Science in China (Series A), 1997, 40:475–482

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hui Rao.

Additional information

Project supportedb y the National Climbing Project (Grant No. 92101090)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qu, C.Q., Rao, H. & Su, W.Y. Hausdorff Measure of Homogeneous Cantor Set. Acta Math Sinica 17, 15–20 (2001). https://doi.org/10.1007/s101140000089

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s101140000089

Keywords

MR (1991) Subject Classification

Navigation