Journal article
Conjugates of characteristic Sturmian words generated by morphisms
European Journal of Combinatorics, Vol.25(7), pp.1025-1037
2004
Abstract
This article is concerned with characteristic Sturmian words of slope α and 1-α (denoted by cα and c1-α resp.), where α∈(0,1) is an irrational number such that α=[0;1+d1,d2,..., dn] with dn≥d1≥1. It is known that both cα and c1-α are fixed points of non-trivial (standard) morphisms σ and σ̂, respectively, if and only if α has a continued fraction expansion as above. Accordingly, such words cα and c1-α are generated by the respective morphisms σ and σ̂. For the particular case when α=[0;2,r̄] (r≥1), we give a decomposition of each conjugate of cα (and hence c1-α) into generalized adjoining singular words, by considering conjugates of powers of the standard morphism σ by which it is generated. This extends a recent result of Levé and Séébold on conjugates of the infinite Fibonacci word.
Details
- Title
- Conjugates of characteristic Sturmian words generated by morphisms
- Authors/Creators
- A. Glen (Author/Creator) - The University of Adelaide
- Publication Details
- European Journal of Combinatorics, Vol.25(7), pp.1025-1037
- Publisher
- Academic Press
- Identifiers
- 991005544732807891
- Copyright
- © 2004 Elsevier Ltd.
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.534 Dynamical Systems
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics