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Conference Papers Year : 2004

Factorization of mechanical words and continued fractions

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.
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Dates and versions

inria-00100134 , version 1 (26-09-2006)

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  • HAL Id : inria-00100134 , version 1

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Bruno Gaujal, Emmanuel Hyon. Factorization of mechanical words and continued fractions. Workshop on Word Avoidability, Complexity and Morphisms - WACAM'2004, 2004, Turku/Finlande, pp.36--42. ⟨inria-00100134⟩
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