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›› 2013, Vol. 30 ›› Issue (4): 443-449.DOI: 10.7523/j.issn.2095-6134.2013.04.003

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On the open set condition of the graph directed self-conformal fractals

ZHENG Shui-Cao   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; School of Sciences, Jimei University, Xiamen 361021, Fujian, China
  • Received:2012-03-01 Revised:2012-10-22 Online:2013-07-15

Abstract:

In this paper, some conditions equivalent to the open set condition of the graph directed self-conformal fractals are obtained. Especially, it is proven that the strong open set condition and the open set condition are equivalent for such a fractal.

Key words: self-conformal fractal, open set condition, Hausdorff measure

CLC Number: