数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 485-492.

• 论文 • 上一篇    下一篇

THE REGULARITY OF RANDOM GRAPH
DIRECTED SELF-SIMILAR SETS

张晓群,刘彦岩   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

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

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)

摘要:

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..

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

中图分类号: 

  • 60D05