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D0L-systems and surface automorphisms

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Mathematical Foundations of Computer Science 1998 (MFCS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1450))

Abstract

We introduce a new relationship between formal language theory and surface theory. More specifically, we show how substitutions on words can represent automorphisms of surfaces. This correspondance is applied to construct and analyze non-periodic irreducible automorphisms. We use results about D0L-systems, mainly the decidability of the non-repetitiveness of a D0L-language.

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Author information

Authors and Affiliations

  1. IGM, Univ. Marne-La-Vallée. 2, Butte Verte, 93166, Noisy-le-Grand, France

    Luis-Miguel Lopez

  2. LABRI, Univ. Bordeaux I., 351, Cours de la Libération, 33405, Talence, France

    Philippe Narbel

Authors
  1. Luis-Miguel Lopez
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  2. Philippe Narbel
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Editor information

Luboš Brim Jozef Gruska Jiří Zlatuška

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© 1998 Springer-Verlag Berlin Heidelberg

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Lopez, LM., Narbel, P. (1998). D0L-systems and surface automorphisms. In: Brim, L., Gruska, J., Zlatuška, J. (eds) Mathematical Foundations of Computer Science 1998. MFCS 1998. Lecture Notes in Computer Science, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055802

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  • DOI: https://doi.org/10.1007/BFb0055802

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64827-7

  • Online ISBN: 978-3-540-68532-6

  • eBook Packages: Springer Book Archive

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