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有限义性质下一类广义MORAN集的重分形分解

郭红文

数学杂志2001,Vol.21Issue(3):271-275,5.
数学杂志2001,Vol.21Issue(3):271-275,5.

有限义性质下一类广义MORAN集的重分形分解

MULTIFRACTAL DECOMPOSITION OF CERTAIN GENERALIZED MORAN SETSUNDER THE FINITE INTERSECTION PROPERTY

郭红文1

作者信息

  • 1. 武汉大学数学与统计学院,武汉,430072;河南师范大学数学系,新乡,453002
  • 折叠

摘要

Abstract

We defined a weak separation condition,the finite intersection property,on generalized Moran fractals by allowing appropriate overlapping on the construction and proved that multifractal formalism still holds for a larger class of fractals by using code mapping technique ,which extends part of Cawley's tesults.

关键词

Moran集/有限交性质/重分形分解

Key words

Moransets /the finite intersection property/multifractal decomposition

分类

数理科学

引用本文复制引用

郭红文..有限义性质下一类广义MORAN集的重分形分解[J].数学杂志,2001,21(3):271-275,5.

基金项目

Supported by the Doctoral Education Foundation of China. ()

数学杂志

OA北大核心CSCD

0255-7797

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