On the open set condition for self-similar fractals

被引：40

作者：

Bandt, C ^{[1
]}

Hung, NV

Rao, H

机构：

[1] Arndt Univ, Inst Math, D-17487 Greifswald, Germany

[2] Tsing Hua Univ, Dept Math, Beijing, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期

关键词：

self-similar; fractals; iterated function system;

D O I：

10.1090/S0002-9939-05-08300-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For self-similar sets, the existence of a feasible open set is a natural separation condition which expresses geometric as well as measure-theoretic properties. We give a constructive approach by de. ning a central open set and characterizing those points which do not belong to feasible open sets.

引用

页码：1369 / 1374

页数：6

共 6 条

[1]

[Anonymous], 1990, FRACTAL GEOMETRY

[2] SELF-SIMILAR SETS .7. A CHARACTERIZATION OF SELF-SIMILAR FRACTALS WITH POSITIVE HAUSDORFF MEASURE [J].