Articles

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

  • Hu Dihe ,
  • Zhang Xiaomin
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  • 1.School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
    2.School of Mathematics and statistics, Wuhan University, Wuhan 430072, China

Received date: 2004-12-30

  Revised date: 1900-01-01

  Online published: 2007-07-20

Abstract

In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.

Cite this article

Hu Dihe , Zhang Xiaomin . THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET[J]. Acta mathematica scientia, Series B, 2007 , 27(3) : 561 -573 . DOI: 10.1016/S0252-9602(07)60056-3

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