数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 421-433.

• 论文 • 上一篇    下一篇

HAUSDORFF DIMENSION OF GENERALIZED
STATISTICALLY SELF-AFFINE FRACTALS

于旌湖,丁立新   

  1. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China


    State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    This research is partly supported by NNSF of China
    (60204001); the Youth Chengguang Project of Science and Technology of Wuhan City (20025001002)

HAUSDORFF DIMENSION OF GENERALIZED
STATISTICALLY SELF-AFFINE FRACTALS

 XU Jing-Hu, DING Li-Xin   

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

    This research is partly supported by NNSF of China
    (60204001); the Youth Chengguang Project of Science and Technology of Wuhan City (20025001002)

Abstract:

The authors consider generalized statistically self-affine recursive fractals K
with random numbers of subsets on each level. They obtain the Hausdorff dimensions of
K without considering whether the subsets on each level are non-overlapping or not. They
also give some examples to show that many important sets are the special cases of their
models.

Key words: Self-affine contraction map;statistically recursive set;statistically self-affine
set, Hausdorff measure;Hausdorff dimension;singular value function

中图分类号: 

  • 03C57