@article{TSG_1995-1996__14__89_0, author = {Babillot, Martine}, title = {G\'eod\'esiques et horocycles sur le rev\^etement d'homologie d'une surface hyperbolique}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {89--104}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {14}, year = {1995-1996}, mrnumber = {1721308}, zbl = {0943.37014}, language = {fr}, url = {http://archive.numdam.org/item/TSG_1995-1996__14__89_0/} }
TY - JOUR AU - Babillot, Martine TI - Géodésiques et horocycles sur le revêtement d'homologie d'une surface hyperbolique JO - Séminaire de théorie spectrale et géométrie PY - 1995-1996 SP - 89 EP - 104 VL - 14 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/item/TSG_1995-1996__14__89_0/ LA - fr ID - TSG_1995-1996__14__89_0 ER -
%0 Journal Article %A Babillot, Martine %T Géodésiques et horocycles sur le revêtement d'homologie d'une surface hyperbolique %J Séminaire de théorie spectrale et géométrie %D 1995-1996 %P 89-104 %V 14 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/item/TSG_1995-1996__14__89_0/ %G fr %F TSG_1995-1996__14__89_0
Babillot, Martine. Géodésiques et horocycles sur le revêtement d'homologie d'une surface hyperbolique. Séminaire de théorie spectrale et géométrie, Tome 14 (1995-1996), pp. 89-104. http://archive.numdam.org/item/TSG_1995-1996__14__89_0/
[An67] Geodesic flows on closed Riemannian manifolds with négative curvature, Proc. Steklov Inst. Math. 90, 90 ( 1967) 1-235. | MR | Zbl
.[AnS67] Some smooth ergodic Systems, Russ.Math. Surveys, 22 ( 1967) 103-167. | Zbl
& .[AS87] Homology of closed geodesics in a negatively curved manifold, J. Diff. Geom.,26 ( 1987) 81-99. | MR | Zbl
& .[BL95] Lalley's theorem for perioclic orbits of hyperbolic flows ( 1995) à paraître dans Ergodic Theory and Dynamical Systems. | Zbl
& .[BL96] Geodesie paths and horocycle flow on abelian covers, ( 1996) Pré- publication 359 du Laboratoire de Probabilités, UniversitéParis 6. | Zbl
& .[Bo73] Symbolic dynamics for hyperbolic flows, Amer.J. Maths, 95 ( 1973) 429-460. | MR | Zbl
.[Bo75] Equilibrium states and the ergodic theory of Anosov diffeomorphismes, Lectures Notes in Math. 470 Spinger-Verlag ( 1975) | MR | Zbl
.[Bo88] The geometry of Teichmuller spaces via geodesie currents, Invent. Math.,92 ( 1988) 139-162. | MR | Zbl
.[Bu90] Horocycle flows on geometrically finite surfaces, Duke Math. J., 61 ( 1990) 779-803 | MR | Zbl
.[De42] Sur le Gitter fuschien, C.R. Acad.Sci Paris, 214 ( 1942) 147-149. | JFM | MR
.[Fed] Geometrie measure theory, Springer Verlag ( 1969) | Zbl
.[Fu73] The unique ergodicity of the horocycle flow in Recent advances in topological dynamics, Lecture Notes 318 Springer-Verlag, ( 1973) 95-115. | MR | Zbl
,[Gu89] Propriétés ergodiques, en mesure infinie, de systèmes dynamiques fibres. Ergod. Th. & Dyn.Syst.,9 ( 1989) 433-453. | MR | Zbl
.[Hed36] Fuchsian groups and transitive horocycle, Duke Math, J., 2 ( 1936) 530-542. | JFM | MR
.[Hed39] Fuchsian groups and mixtures, Ann. of Math., 40 ( 1939)370-383. | MR | Zbl
.[Ho36] Fuchsian groups and ergodic theory, Trans. A.M.S., 39 ( 1936)299-314. | JFM | MR
.[Ho39] Statistik der Geodätische Linien Manigfaltigkeiten Negativer Krümmung, Ber. Voch. Sachs. Akad.Wiss. Leipzig,91 ( 1939) 261-304. | JFM | MR
.[Hu59] Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen (I): Math. Ann., 138 ( 1959) 1-26. (II): Math. Ann., 142 ( 1961) 385-398. (III): Math. Ann., 143 ( 1961) 463-464. | MR | Zbl
.[Ki76] Large déviations, averaging and periodic orbits of dynamical sytems, Comm. Math. Phys., 162 ( 1994) 33-46. | MR | Zbl
.[La87] Distribution of periodic orbits of symbolic and Axiom A flows, Adv. Appl. Math., 8 ( 1987) 154-193. | MR | Zbl
.[La89] Closed geodesics in homology classes on surfaces of variable négative curvature, DukeMath. J., 58 ( 1989) 795-821. | MR | Zbl
.[Le94] Structure au bord des variétés à courbure négative. Sem. Th. Spectrale et Géométrie Grenoble ( 1994-1995) 97-122. | Numdam | MR | Zbl
.[Ma69] Applications of ergodic theory for the investigation of manifolds of négative curvature, Func. Anal. Appl.,3 ( 1969) 335-336. | MR | Zbl
.[Ma96] Normes stables pour les surfaces, Thèse de Doctorat, E.N.S. Lyon ( 1996) | MR
.[Pa76] The limit set of a Fucsian group, Acta Math.,, 136 ( 1976) 241-273. | MR | Zbl
.[Po91] Homology and closed geodesics in a compact negatively curved surface, Amer. J. Math., 113 ( 1991) 379-385. | MR | Zbl
.[PS87] Geodesics in homology classes, Duke Math, J., 55 ( 1987) 287-297. | MR | Zbl
& .[PS94] Orbit counling for some discrete groups acting on simply connected maniflods wilh negative curvature Inventiones Math, 117 ( 1994), 275-302. | MR | Zbl
& .[Ra69] Markov partitions for Anosov flows on 3-dimensional manifolds, Dokl. Akad. Nauk. SSSR, 186 ( 1969) 519-521. | MR | Zbl
.[Ra73] The central limit theorem for geodesie flows on n-dimensional manifolds of negative, curvature, Israël J., Math., 16 ( 1973) 181-193. | MR | Zbl
.[Ra92] Raghunathan's conjecture for SL(2,R), Israel J.of Math. 80 ( 1992) 1-31. | MR | Zbl
.[Re81] Checking ergodicity of some geodesic flows with infinité Gibbs measure. Ergod. Th. & Dyn. Sys., 1 ( 1981) 107-133. | MR | Zbl
.[Rue] Thermodynamic Formalism, London, Addison-Wesley ( 1978). | MR
.[Sc57] Asymptotic Cycles, Ann. of Math., 66 ( 1957) 270-284. | MR | Zbl
.[Se56] Harmonic anaJysis and discontinuous groups in weakly symmetric spaces with applications to Dirichlet series, J. Indian Math. Soc, 20 ( 1956) 47-87. | MR | Zbl
.[Su79] The density at infinity of a discrete group of hyperbolic isometries, Publ IHES, 59 ( 1979) 171-202. | Numdam | Zbl
.[Sh93] Closed orbits in homology classes for Anosov flows, Ergod. Th.& Dyn. Syst., 13 ( 1993) 387-408. | MR | Zbl
.[VN94] The Selberg trace formula, Ramanujan graphs, and some problems of mathematical physics, St Petersburg Math. J. 5 ( 1994) 419-484. | MR | Zbl
& .[Ze89] Trace formula for compact r\PSL2(R) and the equidistribution theory of closed geodesics, Duke Math. J. 59 ( 1989) 27-81. | MR | Zbl
.