Journal article
Episturmian words: a survey
RAIRO - Theoretical Informatics and Applications, Vol.43(3), pp.403-442
2009
Abstract
In this paper, we survey the rich theory of infinite episturmian words which generalize to any finite alphabet, in a rather resembling way, the well-known family of Sturmian words on two letters. After recalling definitions and basic properties, we consider episturmian morphisms that allow for a deeper study of these words. Some properties of factors are described, including factor complexity, palindromes, fractional powers, frequencies, and return words. We also consider lexicographical properties of episturmian words, as well as their connection to the balance property, and related notions such as finite episturmian words, Arnoux-Rauzy sequences, and "episkew words" that generalize the skew words of Morse and Hedlund.
Details
- Title
- Episturmian words: a survey
- Authors/Creators
- A. Glen (Author/Creator) - Reykjavík UniversityJ. Justin (Author/Creator) - Délégation Paris 7
- Publication Details
- RAIRO - Theoretical Informatics and Applications, Vol.43(3), pp.403-442
- Publisher
- EDP Sciences
- Identifiers
- 991005542008307891
- Copyright
- 2009 EDP Sciences
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Domestic collaboration
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- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.534 Dynamical Systems
- Web Of Science research areas
- Computer Science, Theory & Methods
- Mathematics, Applied
- ESI research areas
- Computer Science