Complexity of sequences defined by billiard in the cube

Pierre Arnoux; Christian Mauduit; Iekata Shiokawa; Jun-Ichi Tamura

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 1, page 1-12
  • ISSN: 0037-9484

How to cite

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Arnoux, Pierre, et al. "Complexity of sequences defined by billiard in the cube." Bulletin de la Société Mathématique de France 122.1 (1994): 1-12. <http://eudml.org/doc/87681>.

@article{Arnoux1994,
author = {Arnoux, Pierre, Mauduit, Christian, Shiokawa, Iekata, Tamura, Jun-Ichi},
journal = {Bulletin de la Société Mathématique de France},
keywords = {elastic reflexion; billiard trajectories; cube},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Société mathématique de France},
title = {Complexity of sequences defined by billiard in the cube},
url = {http://eudml.org/doc/87681},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Arnoux, Pierre
AU - Mauduit, Christian
AU - Shiokawa, Iekata
AU - Tamura, Jun-Ichi
TI - Complexity of sequences defined by billiard in the cube
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 1
SP - 1
EP - 12
LA - eng
KW - elastic reflexion; billiard trajectories; cube
UR - http://eudml.org/doc/87681
ER -

References

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  1. [AR] ARNOUX (P.) et RAUZY (G.). — Représentation géométrique de suites de complexité 2n + 1, Bull. Soc. Math. France, t. 119, 1991, p. 199-215. Zbl0789.28011MR92k:58072
  2. [HM] HEDLUND (G.A.) and MORSE (M.). — Symbolic dynamics II. Sturmian trajectories, Amer. J. Math., t. 62, 1940, p. 1-42. Zbl0022.34003MR1,123dJFM66.0188.03
  3. [R1] RAUZY (G.). — Nombres algébriques et substitutions, Bull. Soc. Math. France, t. 110, 1982, p. 147-178. Zbl0522.10032MR84h:10074
  4. [R2] RAUZY (G.). — Suites à termes dans un alphabet fini, Séminaire de Théorie des Nombres de Bordeaux, t. 25, 1982-1983, p. 1-16. Zbl0547.10048
  5. [R3] RAUZY (G.). — Mots infinis en arithmétique, in Automata on infinite words, Lecture Notes in Computer Sciences 192, 1985, p. 165-171. Zbl0613.10044MR814741

Citations in EuDML Documents

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  1. Pascal Hubert, Complexité de suites définies par des billards rationnels
  2. Izumi Nakashima, Jun-Ichi Tamura, Shin-Ichi Yasutomi, *-sturmian words and complexity
  3. Francine Blanchet-Sadri, Bob Chen, Sinziana Munteanu, A note on constructing infinite binary words with polynomial subword complexity
  4. Nicolas Bedaride, Pascal Hubert, Billiard complexity in the hypercube
  5. Pierre Arnoux, Christian Mauduit, Complexité de suites engendrées par des récurrences unipotentes
  6. Nicolas Bedaride, Combinatoire du billard dans un polyèdre
  7. L'ubomíra Balková, Edita Pelantová, Štěpán Starosta, Sturmian jungle (or garden?) on multiliteral alphabets
  8. L'ubomíra Balková, Edita Pelantová, Štěpán Starosta, Sturmian jungle (or garden?) on multiliteral alphabets

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