满足弱分离条件的齐次Moran-like集  

Homogeneous Moran-like Set with Weak Separation Condition

作　　者：董玉娟[1] 李雯雯[1] 戴美凤[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《河南科技大学学报（自然科学版）》2011年第6期69-71,76,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11071224)

摘　　要：齐次Moran集是自相似集的推广,具有在逐阶构造中基本元的相互位置及压缩比可以改变的特点。首先,定义了齐次Moran-like集,也就是用弱分离条件代替了齐次Moran集中的开集条件;然后,讨论了齐次Moran-like集的有关性质,得到了对于Moran-like集的更加精细化的计盒原理。The homogeneous Moran set is a generalization of self-similar sets.The placements of the basic sets at each step of the constructions can be arbitrary,and the contraction ratios may be different at each step.In this paper,the homogeneous Moran-like set was defined,i.e.,using the weak separation condition instead of the open set condition of the homogeneous Moran set.Then the relevant properties of the homogeneous Moran-like set is discussed and the refinement version of the standard box-counting principle for the Moran-like set is proved.

关 键 词：Moran-like集 MORAN集 弱分离条件 计盒原理 

分 类 号：O174.12[理学—数学]