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.

引用

页码：1015 / 1023

页数：9

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