Ergodicité générique des billards polygonaux

Pierre Arnoux

Séminaire Bourbaki (1987-1988)

  • Volume: 30, page 203-221
  • ISSN: 0303-1179

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Arnoux, Pierre. "Ergodicité générique des billards polygonaux." Séminaire Bourbaki 30 (1987-1988): 203-221. <http://eudml.org/doc/110096>.

@article{Arnoux1987-1988,
author = {Arnoux, Pierre},
journal = {Séminaire Bourbaki},
keywords = {billiard problem; ergodicity; polygon billiards},
language = {fre},
pages = {203-221},
publisher = {Société Mathématique de France},
title = {Ergodicité générique des billards polygonaux},
url = {http://eudml.org/doc/110096},
volume = {30},
year = {1987-1988},
}

TY - JOUR
AU - Arnoux, Pierre
TI - Ergodicité générique des billards polygonaux
JO - Séminaire Bourbaki
PY - 1987-1988
PB - Société Mathématique de France
VL - 30
SP - 203
EP - 221
LA - fre
KW - billiard problem; ergodicity; polygon billiards
UR - http://eudml.org/doc/110096
ER -

References

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  5. [Bu] Bunimovitch, On the ergodic properties of nowhere dispersing billiards, Commun. Math. Phys.65 (1979), 295-312. Zbl0421.58017MR530154
  6. [CFS] I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai, "Ergodic Theory," Springer-Verlag, 1982. Zbl0493.28007MR832433
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  12. [K1] A.B. Katok, Interval exchange and some special flows are not mixing, Israel Journal of Math.35 (1980), 301-310. Zbl0437.28009MR594335
  13. [K2] A.B. Katok, The growth rate for the number of singular and periodic orbits for a polygonal billiard, Commun. Math. phys.111 (1987), 151-160. Zbl0631.58020MR896765
  14. [KMS] S. Kerckhoff, H. Masur, J. Smillie, Ergodicity of billiard flows and quadratic differentials, Ann. of Math.124 (1986), 293-311. Zbl0637.58010MR855297
  15. [KS] A. Katok, J.M. Strelcyn, "Invariant manifolds, entropy and billiards; smooth maps with singularities," Springer Verlag, Lect. Notes in Math. 1222, 1986. Zbl0658.58001MR872698
  16. [L] V.F. Lazutkin, The existence of caustics for a billard problem in a convex domain, Math. USSR Iszvestija7 (1973), 185-214. Zbl0277.52002
  17. [M] H. Masur, Interval exchange transformations and measured foliations, Ann. of Math.115 (1982), 169-200. Zbl0497.28012MR644018
  18. [Si1] Ya.G. Sinai, Dynamical systems with elastic reflections, Russian Math. surveys25:2 (1970), 137-189. Zbl0263.58011
  19. [Si2] Ya.G. Sinai, "Introduction to ergodic theory," Princeton University Press, 1977. Zbl0375.28011MR584788
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  22. [ZK] A.N. Zemlyakov, A.B. Katok, topological transitivity of billiards in polygons, Math. Notes18:2 (1976), 760-764. Zbl0323.58012MR399423

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