Complexité de suites définies par des billards rationnels

Pascal Hubert

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 2, page 257-270
  • ISSN: 0037-9484

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Hubert, Pascal. "Complexité de suites définies par des billards rationnels." Bulletin de la Société Mathématique de France 123.2 (1995): 257-270. <http://eudml.org/doc/87717>.

@article{Hubert1995,
author = {Hubert, Pascal},
journal = {Bulletin de la Société Mathématique de France},
keywords = {convex rational billiard; complexity; trajectory},
language = {fre},
number = {2},
pages = {257-270},
publisher = {Société mathématique de France},
title = {Complexité de suites définies par des billards rationnels},
url = {http://eudml.org/doc/87717},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Hubert, Pascal
TI - Complexité de suites définies par des billards rationnels
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 2
SP - 257
EP - 270
LA - fre
KW - convex rational billiard; complexity; trajectory
UR - http://eudml.org/doc/87717
ER -

References

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  1. [A]ARNOUX (P.). — Ergodicité générique des billards polygonaux, d'après Kerckhoff, Masur, Smillie, Séminaire Bourbaki, t. 696, 1988, p. 203-221. Zbl0671.58023MR90c:58097
  2. [AMST]ARNOUX (P.), MAUDUIT (C.), SHIOKAWA (I.) and TAMURA (J.). — Complexity of sequences defined by billiards in the cube, Bull. Soc. Math. France, t. 122, 1994, p. 1-12. Zbl0791.58034MR94m:11028
  3. [AR]ARNOUX (P.) et RAUZY (G.). — Représentation géométrique de suites de complexité 2n + 1, Bull. Soc. Math. France, t. 119, n° 2, 1991, p. 199-215. Zbl0789.28011MR92k:58072
  4. [BKM]BOLDRIGINI (C.), KEANE (M.) and MARCHETTI (F.). — Billiards in polygons, Annals of Probability, t. 6, 1978, p. 532-540. Zbl0377.28014MR58 #31007b
  5. [CFS]CORNFELD (I.P.), FORMIN (S.V.) and SINAI (Ya.G.). — Ergodic theory, Springer-Verlag, 1982. Zbl0493.28007
  6. [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
  7. [K]KATOK (A.). — The growth rate for the number of singular and periodic orbits for a polygonal billiard, Commun. Math. Phys., t. 111, 1987, p. 151-160. Zbl0631.58020MR88g:58162
  8. [KMS]KERCKHOFF (S.), MASUR (H.) and SMILLIE (J.). — Ergodicity of billiard flows and quadratic differentials, Ann. of Math., t. 124, 1986, p. 293-311. Zbl0637.58010MR88f:58122
  9. [NST]NISHIOKA (N.), SHIOKAWA (I.) and TAMURA (J.). — Arithmetical properties of a certain power series, J. Number Theory, t. 42, 1992, p. 61-87. Zbl0770.11039MR93i:11086
  10. [ZK]ZEMLYAKOF (A.N.) and KATOK (A.B.). — Topological transivity of billiards in polygons, Math. Notes, t. 18, n° 2, 1976, p. 760-764. Zbl0323.58012

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