@incollection{SB_1987-1988__30__203_0,
author = {Arnoux, Pierre},
title = {Ergodicit\'e g\'en\'erique des billards polygonaux},
booktitle = {S\'eminaire Bourbaki : volume 1987/88, expos\'es 686-699},
series = {Ast\'erisque},
note = {talk:696},
pages = {203--221},
year = {1988},
publisher = {Soci\'et\'e math\'ematique de France},
number = {161-162},
mrnumber = {992210},
zbl = {0671.58023},
language = {fr},
url = {https://www.numdam.org/item/SB_1987-1988__30__203_0/}
}
TY - CHAP AU - Arnoux, Pierre TI - Ergodicité générique des billards polygonaux BT - Séminaire Bourbaki : volume 1987/88, exposés 686-699 AU - Collectif T3 - Astérisque N1 - talk:696 PY - 1988 SP - 203 EP - 221 IS - 161-162 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1987-1988__30__203_0/ LA - fr ID - SB_1987-1988__30__203_0 ER -
%0 Book Section %A Arnoux, Pierre %T Ergodicité générique des billards polygonaux %B Séminaire Bourbaki : volume 1987/88, exposés 686-699 %A Collectif %S Astérisque %Z talk:696 %D 1988 %P 203-221 %N 161-162 %I Société mathématique de France %U https://www.numdam.org/item/SB_1987-1988__30__203_0/ %G fr %F SB_1987-1988__30__203_0
Arnoux, Pierre. Ergodicité générique des billards polygonaux, dans Séminaire Bourbaki : volume 1987/88, exposés 686-699, Astérisque, no. 161-162 (1988), Exposé no. 696, 19 p.. https://www.numdam.org/item/SB_1987-1988__30__203_0/
[A] , "Lectures on quasiconformal mappings," Van Nostrand, New York, 1966. | Zbl | MR
[Be] , Finite dimensional Teichmüller spaces and generalizations, Bull. AMS 5 (1981), 131-172. | Zbl | MR
[BK] , (eds.), "A crash course on Kleinian groups," Springer Verlag, Lect. notes in Math. 400, 1974. | Zbl | MR
[BKM] , , , Billiards in polygons, The annals of probability 6 (1978), 532-540. | Zbl | MR
[Bu] , On the ergodic properties of nowhere dispersing billiards, Commun. Math. Phys. 65 (1979), 295-312. | Zbl | MR
[CFS] , , , "Ergodic Theory," Springer-Verlag, 1982. | Zbl | MR
[D] , Applications du théorème des tores invariants, Université Paris VII, Thèse de 3ème cycle (1982).
[FK] , , Concerning the transitive properties of geodesics on a rational polyhedron, Duke Math. J. 2 (1936), 147-150. | MR | JFM
[FLP] , , , "Travaux de Thurston sur les surfaces," Astérisque 66-67, 1979. | Zbl | MR | Numdam
[GK] , , Weakly mixing billiards, prépublication.
[HM] , , Quadratic differential and foliations, Acta Mathematica 142 (1979), 221-274. | Zbl | MR
[K1] , Interval exchange and some special flows are not mixing, Israel Journal of Math. 35 (1980), 301-310. | Zbl | MR
[K2] , The growth rate for the number of singular and periodic orbits for a polygonal billiard, Commun. Math. phys. 111 (1987), 151-160. | Zbl | MR
[KMS] , , , Ergodicity of billiard flows and quadratic differentials, Ann. of Math. 124 (1986), 293-311. | Zbl | MR
[KS] ,, "Invariant manifolds, entropy and billiards; smooth maps with singularities," Springer Verlag, Lect. Notes in Math. 1222, 1986. | Zbl | MR
[L] , The existence of caustics for a billard problem in a convex domain, Math. USSR Iszvestija 7 (1973), 185-214. | Zbl
[M] , Interval exchange transformations and measured foliations, Ann. of Math. 115 (1982), 169-200. | Zbl | MR
[Si1] , Dynamical systems with elastic reflections, Russian Math. surveys 25:2 (1970), 137-189. | Zbl
[Si2] , "Introduction to ergodic theory," Princeton University Press, 1977. | Zbl | MR
[V1] , Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. 115 (1982), 201-242. | Zbl | MR
[V2] , The Teichmûller geodesic flow, Ann. of Math. 124 (1986), 441-530. | Zbl | MR
[ZK] , , topological transitivity of billiards in polygons, Math. Notes 18:2 (1976), 760-764. | Zbl | MR







