Slopes of 3-Dimensional Subshifts of Finite Type

被引：1

作者：

Moutot, Etienne ^{[1
]}

Vanier, Pascal ^{[2
]}

机构：

[1] Univ Lyon, UCBL, INRIA, LIP,ENS Lyon,CNRS, 6 Allee Italie, F-69364 Lyon, France

[2] Univ Paris Est, UPEC, LACL, Paris, France

来源：

COMPUTER SCIENCE - THEORY AND APPLICATIONS, CSR 2018 | 2018年 / 10846卷

关键词：

UNDECIDABILITY; TILINGS;

D O I：

10.1007/978-3-319-90530-3_22

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we study the directions of periodicity of three-dimensional subshifts of finite type (SFTs) and in particular their slopes. A configuration of a subshift has a slope of periodicity if it is periodic in exactly one direction, the slope being the angles of the periodicity vector. In this paper, we prove that any Sigma(0)(2) set may be realized as a a set of slopes of an SFT.

引用

页码：257 / 268

页数：12

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