Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 369-374.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 60D05
Trendmd