Morphismes sturmiens et règles de Rauzy

Filippo Mignosi; Patrice Séébold

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 2, page 221-233
  • ISSN: 1246-7405

Abstract

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We give a complete characterization of binary morphisms which preserve Sturmian words and show that infinite words generated by these morphisms are rigid.

How to cite

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Mignosi, Filippo, and Séébold, Patrice. "Morphismes sturmiens et règles de Rauzy." Journal de théorie des nombres de Bordeaux 5.2 (1993): 221-233. <http://eudml.org/doc/93580>.

@article{Mignosi1993,
abstract = {Nous donnons une caractérisation complète de tous les morphismes binaires qui préservent les mots sturmiens et montrons que les mots infinis engendrés par ces morphismes sont rigides.},
author = {Mignosi, Filippo, Séébold, Patrice},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {infinite binary word; Sturmian words; Sturmian morphisms},
language = {fre},
number = {2},
pages = {221-233},
publisher = {Université Bordeaux I},
title = {Morphismes sturmiens et règles de Rauzy},
url = {http://eudml.org/doc/93580},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Mignosi, Filippo
AU - Séébold, Patrice
TI - Morphismes sturmiens et règles de Rauzy
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 2
SP - 221
EP - 233
AB - Nous donnons une caractérisation complète de tous les morphismes binaires qui préservent les mots sturmiens et montrons que les mots infinis engendrés par ces morphismes sont rigides.
LA - fre
KW - infinite binary word; Sturmian words; Sturmian morphisms
UR - http://eudml.org/doc/93580
ER -

References

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  12. [12] G. Rauzy, Mots infinis en arithmétique, in Automata on infinite words, Nivat, Perrin (Eds), Lecture Notes in Computer Science, Springer-Verlag192 (1984), 165-171. Zbl0613.10044MR814741
  13. [13] P. Séébold, Fibonacci morphisms and Sturmian words, Theoret. Comput. Sci.88 (1991), 365-384. Zbl0737.68068MR1131075
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Citations in EuDML Documents

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  1. Alex Heinis, Languages under substitutions and balanced words
  2. Alex Heinis, On low-complexity bi-infinite words and their factors
  3. Jacques Justin, Giuseppe Pirillo, Decimations and sturmian words
  4. J. Berstel, P. Séébold, A remark on morphic sturmian words
  5. Filippo Mignosi, Luca Q. Zamboni, A note on a conjecture of Duval and sturmian words
  6. Filippo Mignosi, Luca Q. Zamboni, A Note on a Conjecture of Duval and Sturmian Words
  7. Idrissa Kaboré, Théodore Tapsoba, Combinatoire de mots récurrents de complexité
  8. Bruno Parvaix, Propriétés d'invariance des mots sturmiens
  9. P. Dartnell, F. Durand, A. Maass, Orbit equivalence and Kakutani equivalence with Sturmian subshifts
  10. Isabelle Fagnot, A little more about morphic Sturmian words

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