数学物理学报(英文版)

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THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

胡迪鹤; 张晓敏   

  1. 云南大学数学与统计学院, 昆明 650091 武汉大学数学与统计学院, 武汉 430072
  • 收稿日期:2004-12-30 修回日期:1900-01-01 出版日期:2007-07-20 发布日期:2007-07-20
  • 通讯作者: 胡迪鹤
  • 基金资助:

    Supported by the National Natural Science Foundation of China (10371092)
    and Foundation of Ningbo University (8Y0600036).

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

Hu Dihe; Zhang Xiaomin   

  1. 1.School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
    2.School of Mathematics and statistics, Wuhan University, Wuhan 430072, China
  • Received:2004-12-30 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
  • Contact: Hu Dihe

摘要:

In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.

关键词: Random sub-self-similar set, random shift set, Hausdorff dimension, exact Hausdorff measure function, Hausdorff metric

Abstract:

In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.

Key words: Random sub-self-similar set, random shift set, Hausdorff dimension, exact Hausdorff measure function, Hausdorff metric

中图分类号: 

  • 60D05