Self-affine tiling via substitution dynamical systems and Rauzy fractals
Self-affine tiling via substitution dynamical systems and Rauzy fractals
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DOI：
10.2140/pjm.2002.206.465
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发表时间：
2002-10
影响因子：
0.6
通讯作者：
V. Sirvent;Yang Wang
中科院分区：
文献类型：
--
作者：
V. Sirvent;Yang Wang
In this paper we show that a class of sets known as the Rauzy fractals, which are constructed via substitution dynamical systems, give rise to self-affine multi-tiles and self-affine tilings. This provides an efficient and unconventional way for constructing aperiodic self-affine tilings. Our result also leads to a proof that a Rauzy fractal R associated with a primitive and unimodular Pisot substitution has nonempty interior.
