Abstract
This paper gives the Hausdorff measure of a class of homogeneous Cantor sets.
Similar content being viewed by others
References
K. J. Falconer, The geometry of fractal sets, Cambridge University Press, 1985
D. J. Marion, Measures de Hausdorff et theorie de Perron-Frobinius des matrice non-negatives, Ann. Inst. Fourier, Grenoble, 1985, 35(4):99–125
Z. L. Zhou, M. Wu, The Hausdorff measure of Siepinski carpet, Science in China (Series A), 1990, 42(7):673–680
R. D. Mauldin, S. C. Williams, Scaling Hausdorff measures, Mathematika, 1989, 36:325–333
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
D. J. Feng, Z. Y. Wen, J. Wu, Dimension of the homogeneous Moran sets, Science in China (Series A), 1997, 40:475–482
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supportedb y the National Climbing Project (Grant No. 92101090)
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s101140000089