Porosity of Self-affine Sets  

作　　者：Lifeng XI 

机构地区：[1]Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, Zhejiang, China

出　　处：《Chinese Annals of Mathematics,Series B》2008年第3期333-340,共8页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China(Nos.10671180,10301029,10241003).

摘　　要：In this paper, it is proved that any self-affine set satisfying the strong separation condition is uniformly porous. The author constructs a self-affine set which is not porous, although the open set condition holds. Besides, the author also gives a C^1 iterated function system such that its invariant set is not porous.

关 键 词：POROSITY Self-affine set Open set condition 

分 类 号：O17[理学—数学]