A new factorization of mechanical words
Identifieur interne : 007099 ( Main/Exploration ); précédent : 007098; suivant : 007100A new factorization of mechanical words
Auteurs : Bruno Gaujal [France] ; Emmanuel Hyon [France]Source :
English descriptors
Abstract
In this paper, we introduce a morphism on Sturmian words which is tightly related to the coefficients of a particular continued fraction the ceiled continued fraction. This morphism will be applied to factorize periodic Sturmian words called Christoffel words, as well as, to characterize and construct discrete geometric objects called cellular line.
Url:
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Lyon, Nancy
- Institut national polytechnique de Lorraine, Université Claude Bernard Lyon 1, Université Nancy 2, Université de Lorraine, Université de Lyon
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Le document en format XML
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<front><div type="abstract" xml:lang="en">In this paper, we introduce a morphism on Sturmian words which is tightly related to the coefficients of a particular continued fraction the ceiled continued fraction. This morphism will be applied to factorize periodic Sturmian words called Christoffel words, as well as, to characterize and construct discrete geometric objects called cellular line.</div>
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