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Factorization of mechanical words and continued fractions

Bruno Gaujal 1 Emmanuel Hyon 2
1 APACHE - Parallel algorithms and load sharing
ID-IMAG - Informatique et Distribution, Inria Grenoble - Rhône-Alpes, UJF - Université Joseph Fourier - Grenoble 1
2 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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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Conference papers
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https://hal.inria.fr/inria-00100134
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Submitted on : Tuesday, September 26, 2006 - 10:14:30 AM
Last modification on : Friday, February 26, 2021 - 3:28:07 PM

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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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