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
收藏
页码：214 / 225
页数：12
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