Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

Hu Dihe; Zhang Xiaomin   

  1. 1.School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
    2.School of Mathematics and statistics, Wuhan University, Wuhan 430072, China
  • Received:2004-12-30 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
  • Contact: Hu Dihe

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.

Key words: Random sub-self-similar set, random shift set, Hausdorff dimension, exact Hausdorff measure function, Hausdorff metric

CLC Number: 

  • 60D05
Trendmd