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Sturmian Words: Dynamical Systems and Derivated Words

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Book cover Developments in Language Theory (DLT 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3572))

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Abstract

In a preceding article, we have studied the family of words derivated from characteristic Sturmian words. This study has lead to a new proof of the characterization of characteristic Sturmian words which are fixed points of morphisms. In this article, we extend this approach to all Sturmian words. The Sturmian words viewed as dynamical systems play an important role in obtaining this generalization.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59, 7000–671, Évora, Portugal

    Isabel M. Araújo

  2. Centro de Álgebra da Universidade de Lisboa, Avenida Professor Gama Pinto, 2, 1649–003, Lisboa, Portugal

    Isabel M. Araújo

  3. Institut d’Informatique, Université de Mons–Hainaut, Avenue du Champ de Mars, 6, 7000, Mons, Belgium

    Véronique Bruyère

Authors
  1. Isabel M. Araújo
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  2. Véronique Bruyère
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica e Applicazioni, Università di Salerno, via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Clelia De Felice

  2. Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi, 34, 90123, Palermo, Italy

    Antonio Restivo

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© 2005 Springer-Verlag Berlin Heidelberg

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Araújo, I.M., Bruyère, V. (2005). Sturmian Words: Dynamical Systems and Derivated Words. In: De Felice, C., Restivo, A. (eds) Developments in Language Theory. DLT 2005. Lecture Notes in Computer Science, vol 3572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505877_11

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  • DOI: https://doi.org/10.1007/11505877_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26546-7

  • Online ISBN: 978-3-540-31682-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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