THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

doi:10.1016/S0252-9602(07)60056-3

数学物理学报(英文版)

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

胡迪鹤; 张晓敏

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.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/Abstract

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

胡迪鹤; 张晓敏. THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET[J]. 数学物理学报(英文版), 2007, 27(3): 561-573.

Hu Dihe; Zhang Xiaomin. THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET[J]. Acta mathematica scientia,Series B, 2007, 27(3): 561-573.

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THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET

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