Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (2): 214-219.

• Articles • Previous Articles     Next Articles

Intersection of translations of cantor triadic set

 LI Wen-Xia, XIAO Dong-Mei   

  1. Department of Mathematics|Central China Normal University,Wuhan 430079,China
  • Received:1997-05-24 Online:1999-06-03 Published:1999-06-03
  • Supported by:

    Partially supported by a grant  from the NSFC

Abstract:

Let C be the Cantor triadic set and let C_\alpha=C+\alpha={\beta+\alpha:\beta(-C} for  -1<=\alpha<=1.Let Hp={\alpha(-C:dim|H(C_\alpha \intersection C)=(1-p)log2/log3},0

Key words: Cantor triadic set, generlized Moran set, multifractal decomposition, poit-wise dimension

CLC Number: 

  • 28A80
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