Classification of rotations on the torus T2

被引：2

作者：

Bedaride, Nicolas ^{[1
]}

机构：

[1] Univ Paul Cezanne, Dept Math, LATP, Federat Rech Unites Math Marseille,UMR 6632, F-13397 Marseille 20, France

来源：

THEORETICAL COMPUTER SCIENCE | 2007年 / 385卷 / 1-3期

关键词：

billiard; symbolic dynamic; words; complexity; sturmian words;

D O I：

10.1016/j.tcs.2007.05.037

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider rotations on the torus T-2, and we classify them with respect to the complexity functions. In dimension one, a minimal rotation can be coded by a sturmian word. A sturmian word has complexity n + 1 by the Morse-Hedlund theorem. Here we make a generalization in dimension two. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：214 / 225

页数：12

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