关于图有向自保形分形的开集条件(英文)  

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

作　　者：郑水草[1,2] 

机构地区：[1]中国科学院大学数学科学学院,北京100049 [2]集美大学理学院,福建厦门361021

出　　处：《中国科学院大学学报（中英文）》2013年第4期443-449,共7页Journal of University of Chinese Academy of Sciences

基　　金：Supported by the National Natural Science Foundation of China(11171342)

摘　　要：获得关于图有向自保形分形的开集条件的一些等价条件.特别地,对于这种类型的分形集,给出开集条件和强开集条件是等价的结论.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.

关 键 词：自保形分形 开集条件 豪斯道夫测度 

分 类 号：O211.6[理学—概率论与数理统计]