数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (2): 256-260.

• 论文 • 上一篇    下一篇

FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS

 余旌胡, 范文涛   

  1. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071
  • 出版日期:2000-04-18 发布日期:2000-04-18
  • 基金资助:

    This work is support by NNSF and the Doctral programms Found.of China

FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS

 TU Jing-Hu, FAN Wen-Chao   

  1. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071
  • Online:2000-04-18 Published:2000-04-18
  • Supported by:

    This work is support by NNSF and the Doctral programms Found.of China

摘要:

In this paper, authors compute the Packing dimension of statistically selfsimilar
sets and obtaine the dimension and dimension distribution of statistically selfsimilar
measure.

关键词: Statistically self-similar set, statistically self-similar measure, dimension distribution,
contractive map

Abstract:

In this paper, authors compute the Packing dimension of statistically selfsimilar
sets and obtaine the dimension and dimension distribution of statistically selfsimilar
measure.

Key words: Statistically self-similar set, statistically self-similar measure, dimension distribution,
contractive map

中图分类号: 

  • 03C57