数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (3): 369-374.

• 论文 • 上一篇    下一篇

MULTIFRACTAL DECOMPOSITION OF CERTAIN RECURSIVE SETS WITHOUT THE OPEN SET CONDITION

 郭红文, 邓爱娇   

  1. Department of Mathematics, Wuhan University, Wuhan 430071, China
    Department of Mathematics, Henan Normal University, Department of Mathematics, Wuhan University, Wuhan 430071, China
  • 出版日期:2001-07-06 发布日期:2001-07-06
  • 基金资助:

    Supported by NSFC and doctoral fund of China

MULTIFRACTAL DECOMPOSITION OF CERTAIN RECURSIVE SETS WITHOUT THE OPEN SET CONDITION

 GUO Hong-Wen, DENG Ai-Jiao   

  1. Department of Mathematics, Wuhan University, Wuhan 430071, China
    Department of Mathematics, Henan Normal University, Department of Mathematics, Wuhan University, Wuhan 430071, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    Supported by NSFC and doctoral fund of China

摘要:

The open set condition is the weakest condition hitherto in multifractal decomposition on the recursive sets. This paper deals with certain recursive fractals which have no relevence to the separation condition and gives their multifractal decomposition.

关键词: Random measure, multifractal, dimension

Abstract:

The open set condition is the weakest condition hitherto in multifractal decomposition on the recursive sets. This paper deals with certain recursive fractals which have no relevence to the separation condition and gives their multifractal decomposition.

Key words: Random measure, multifractal, dimension

中图分类号: 

  • 60D05