Some improvements of the S-adic conjecture

被引：12
|
作者：
Leroy, Julien [1 ]
机构：
[1] Univ Picardie Jules Verne, Lab Amienois Math Fondamentales & Appl, CNRS, UMR 6140, F-80039 Amiens, France
来源：
ADVANCES IN APPLIED MATHEMATICS | 2012年 / 48卷 / 01期
关键词：
S-adic; Rauzy graph; Factor complexity; Special factor; COMPLEXITY 2N+1; MORPHISMS; SEQUENCES; SYSTEMS; NUMBER;
D O I：
10.1016/j.aam.2011.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [S. Ferenczi, Rank and symbolic complexity. Ergodic Theory Dynam. Systems 16 (1996) 663-682], S. Ferenczi proved that the language of any uniformly recurrent sequence with an at most linear complexity is S-adic. In this paper we adapt his proof in a more structured way and improve this result stating that any such sequence is itself S-adic. We also give some properties on the constructed morphisms. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：79 / 98
页数：20
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