SELF-SIMILAR SETS .7. A CHARACTERIZATION OF SELF-SIMILAR FRACTALS WITH POSITIVE HAUSDORFF MEASURE

被引：122

作者：

BANDT, C ^{[1
]}

GRAF, S ^{[1
]}

机构：

[1] UNIV PASSAU,FAK MATH & INFORMAT,W-8390 PASSAU,GERMANY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 04期

关键词：

D O I：

10.2307/2159618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For self-similar sets with nonoverlapping pieces, Hausdorff dimension and measure are easily determined. We express "absence of overlap" in terms of discontinuous action of a family of similitudes, thus improving the usual "open set condition".

引用

页码：995 / 1001

页数：7

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