Acta mathematica scientia,Series B

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THE RANDOM SHIFT SET AND RANDOM SUB-SELF-SIMILAR SET

Hu Dihe; Zhang Xiaomin   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2004-12-30 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Hu Dihe

Abstract:

First of all the authors introduce the concepts of random sub-self-similar set and random shift set and then construct the random sub-self-similar set by a random shift set and a collection of statistical contraction operators.

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

CLC Number: 

  • 60D05
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