数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (2): 214-219.

• 论文 • 上一篇    下一篇

Intersection of translations of cantor triadic set

李文侠,肖冬梅   

  1. Department of Mathematics|Central China Normal University,Wuhan 430079,China
  • 收稿日期:1997-05-24 出版日期:1999-06-03 发布日期:1999-06-03
  • 基金资助:

    Partially supported by a grant  from the NSFC

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

摘要:

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

关键词: Cantor triadic set, generlized Moran set, multifractal decomposition, poit-wise dimension

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

中图分类号: 

  • 28A80