Hausdorff dimension of self-affine limit sets with an invariant direction

被引：6
|
作者：
Baranski, Krzysztof [1 ]
机构：
[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2008年 / 21卷 / 04期
关键词：
Hausdorff dimension; fractal; Sierpinski triangle; iterated function system;
D O I：
10.3934/dcds.2008.21.1015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine the Hausdorff dimension of self-affine limit sets for some class of iterated function systems in the plane with an invariant direction. In particular, the method applies to some type of generalized non-self-similar Sierpinski triangles. This partially answers a question asked by Falconer and Lammering and extends a result by Lalley and Gatzouras.
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页码：1015 / 1023
页数：9
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