Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (3): 313-321.

• Articles • Previous Articles     Next Articles

THE MULTIFRACTAL HAUSDORFF AND PACKING
MEASURE OF GENERAL SIERPINSKI CARPETS

 HUANG Li-Hu, TU Jing-Hu   

  1. Department of Statistics, Renmin University of China, Beijing 100872, China Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
  • Received:1998-04-13 Online:2000-05-20 Published:2000-05-20
  • Supported by:

    Supported by the National Natural Sciences Foundation of China and Special Funds
    of State Education Committee for Doctorate Scientific Research

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Abstract:

In this paper, authors study the properties of multifractal Hausdorff and pack-
ing measures for a class of self-affine sets and use them to study the multifractal properties
of general Sierpinski carpet E, and they get that the multifractal Hausdorff and packing
measure are mutual singular, when they are restricted on some subsets of E.

Key words: Multifractal Hausdorff measure, multifractal packing measure, general Sier-
pinski carpets

CLC Number: 

  • 28A12
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