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On Christoffel classes

Published online by Cambridge University Press:  15 October 2005

Jean-Pierre Borel  and
Christophe Reutenauer
Jean-Pierre Borel
Affiliation:
LACO, UMR CNRS 6090, 123 avenue Albert Thomas, 87060 Limoges Cedex, France; [email protected]
Christophe Reutenauer
Affiliation:
Université du Québec à Montréal; Département de mathématiques; Case postale 8888, succursale Centre-Ville, Montréal (Québec) H3C 3P8, Canada; [email protected]
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Abstract

We characterize conjugation classes of Christoffel words (equivalently of standard words) by the number of factors. We give several geometric proofs of classical results on these words and sturmian words.

Keywords

WordsChristoffelsturmianconjugationgeometric.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 1 , January 2006 , pp. 15 - 27
Copyright
© EDP Sciences, 2006

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