Porosity of Self-affine Sets

被引：0
|
作者：
Lifeng XI~* Institute of Mathematics
机构：
来源：
Chinese Annals of Mathematics | 2008年 / 03期
基金：
中国国家自然科学基金;
关键词：
Porosity; Self-affine set; Open set condition;
D O I：
暂无
中图分类号：
O174 [函数论];
学科分类号：
070104 ;
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.
引用
收藏
页码：333 / 340
页数：8
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