Separation properties for self-conformal sets

被引：13
作者：
Ye, YL [1 ]
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China
来源：
STUDIA MATHEMATICA | 2002年 / 152卷 / 01期
关键词：
self-conformal set; conformality dimension; OSC; SOSC; basic open set; Hausdorff dimension;
D O I：
10.4064/sm152-1-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a one-to-one self-conformal contractive system {omegaj}(j = 1)(m) on R-d with attractor K and conformality dimension alpha, Peres et al. showed that the open set condition and strong open set condition are both equivalent to 0 < H-α (K) < infinity. We give a simple proof of this result as well as discuss some further properties related to the separation condition.
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页码：33 / 44
页数：12
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