Various Properties of Sturmian Words

被引:0
|
作者
Balazi, P. [1 ]
机构
[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000 2, Czech Republic
关键词
Sturmian words; mechanical words; 2-interval exchange map; palindromes; return words; substitutions;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This overview paper is devoted to Sturmian words. The first part summarizes different characterizations of Sturmian words. Besides the well known theorem of Hedlund and Morse it also includes recent results on the characterization of Sturmian words using return words or palindromes. The second part deals with substitution invariant Sturmian words, where we present our recent results. We generalize one-sided Sturmian words using the cut-and-project scheme and give a full characterization of substitution invariant Sturmian words.
引用
收藏
页码:19 / 23
页数:5
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