Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (3): 485-492.

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THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS

 ZHANG Xiao-Qun, LIU Pan-Yan   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This reasearch was supported by the NNSF of China(10201027)

Abstract:

A set in Rd is called regular if its Hausdorff dimension coincides with its
upper box counting dimension. It is proved that a random graph-directed self-similar set
is regular a.e..

Key words: Random graph-directed, self-similar set;Hausdorff dimension;box-counting
dimension;regular

CLC Number: 

  • 60D05
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