@article{ASENS_1993_4_26_1_23_0,
author = {Guivarc'h, Y. and Le Jan, Y.},
title = {Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {23--50},
publisher = {Elsevier},
volume = {Ser. 4, 26},
number = {1},
year = {1993},
doi = {10.24033/asens.1666},
mrnumber = {94a:58157},
zbl = {0784.60076},
language = {en},
url = {http://archive.numdam.org/articles/10.24033/asens.1666/}
}
TY - JOUR AU - Guivarc'h, Y. AU - Le Jan, Y. TI - Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions JO - Annales scientifiques de l'École Normale Supérieure PY - 1993 SP - 23 EP - 50 VL - 26 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1666/ DO - 10.24033/asens.1666 LA - en ID - ASENS_1993_4_26_1_23_0 ER -
%0 Journal Article %A Guivarc'h, Y. %A Le Jan, Y. %T Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions %J Annales scientifiques de l'École Normale Supérieure %D 1993 %P 23-50 %V 26 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1666/ %R 10.24033/asens.1666 %G en %F ASENS_1993_4_26_1_23_0
Guivarc'h, Y.; Le Jan, Y. Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 26 (1993) no. 1, pp. 23-50. doi : 10.24033/asens.1666. http://archive.numdam.org/articles/10.24033/asens.1666/
[Die] , Éléments d'analyse 9, Gauthier-Villars, Paris, 1982.
[F] , Théorèmes des résidus asymptotiques pour le mouvement Brownien sur une surface riemannienne compacte (Ann. I.H.P., Vol. 27, 1991, pp. 445-462). | Numdam | MR | Zbl
[H] , Homotopy Theory, Academy Press, 1959. | MR
[G] and , Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov (Ann. I.H.P., Vol. 24, 1988, pp. 73-98). | Numdam | MR | Zbl
[GL] and , Sur l'enroulement du flot géodésique (C.R. Ac. Sc. Paris, T. 311, Série I, 1990, pp. 645-648). | MR | Zbl
[HW] and , An Introduction to the Theory of Numbers, University Press, Oxford, 1975.
[JK] and , α-Stable Limit Theorems for Sums of Dependent Random Vectors (J. Mult. Analysis, Vol. 29, 1989, pp. 219-251). | MR | Zbl
[Ka] , Perturbation Theory for Linear Operators, Springer, Berlin, Heidelberg, New York, 1976. | MR | Zbl
[KS] and , Closed Orbits in Homology Classes (Pub. Math. I.H.E.S., Vol. 71, 1990). | Numdam | MR | Zbl
[LeH] , Discontinuous Groups and Automorphic Functions (A.M.S., Providence, 1964). | MR | Zbl
[L] , Fractions continues aléatoires (Rend. Circ. Math. Palermo, 1952, pp. 1-39). | MR | Zbl
[LM] and , Windings of the Plane Brownian Motion, (Advances in Maths, Vol. 51, 1984, pp. 212-225). | MR | Zbl
[N] , Markov Processes and Learning Model (Academic press, 1972). | Zbl
[Rat] , The Central Limit Theorem for Geodesic Flows on n Dimensional Manifolds of Negative Curvature (Israël J. of Math., Vol. 16, 1973, pp. 180-197). | MR | Zbl
[RY] and , Continuous Martingale Calculus and Brownian Motion (to appear).
[Sch] , Elliptic Modular Functions, Springer, Berlin, Heidelberg, New York, 1974.
[Se] , The Modular Surface and Continued Fractions (J. London Math. Soc., Vol. 31, 1985, pp. 69-80). | MR | Zbl
[Si] , The Central Limit Theorem for Geodesic Flows on Manifolds of Constant Negative Curvature (Dokl. Akad. Nauk SSSR, Vol. 133, 1960, pp. 1303-1306). | MR | Zbl
[Spi] , Some Theorems Concerning Two Dimensional Brownian Motion (Trans. Ann. Math. Soc., Vol. 87, 1958, pp. 187-197). | MR | Zbl
[Spr] , Introduction to Rieman Surfaces, Addison-Wesley (Reading, 1957). | MR | Zbl
[Su] , Disjoint Spheres, Approximation by Imaginary Quadratic Numbers and the Logarithm Law for Geodesics, (Acta Math., Vol. 149, 1983, pp. 123-237). | MR | Zbl
Cité par Sources :
