Two-dimensional iterated morphisms and discrete planes
Two-dimensional iterated morphisms and discrete planes
复制标题
二维迭代态射和离散平面
DOI：
10.1016/j.tcs.2004.02.017
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发表时间：
2004
影响因子：
1.1
通讯作者：
A. Siegel
中科院分区：
文献类型：
--
作者：
P. Arnoux;V. Berthé;A. Siegel
自由幺半群的迭代态射是非常简单的组合对象，它通过迭代地用单词替换字母来产生无限序列。本文的目的是介绍一种形式主义的二维态射的概念，我们表明，他们可以通过使用本地规则迭代，并产生二维图案相关的离散近似的不合理的平面代数参数。我们将这样一个二维态射与任何通常的Pisot么模一维迭代态射在一个三个字母的字母表。
Iterated morphisms of the free monoid are very simple combinatorial objects which produce infinite sequences by replacing iteratively letters by words. The aim of this paper is to introduce a formalism for a notion of two-dimensional morphisms; we show that they can be iterated by using local rules, and that they generate two-dimensional patterns related to discrete approximations of irrational planes with algebraic parameters. We associate such a two-dimensional morphism with any usual Pisot unimodular one-dimensional iterated morphism over a three-letter alphabet.