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Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo
Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. Annales de l'institut Henri Poincaré (C) Analyse non linéaire, 20 no. 4 (2003), p. 579-624
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Bibliographie

[1] Anosov D., Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967).  MR 224110 |  Zbl 0176.19101
[2] Babillot M., Ledrappier F., Geodesic paths and horocyclic flow on abelian covers, in: Lie Groups and Ergodic Theory (Mumbai 1996), Tata Inst. Fund. Res. Stud. Math., 14, 1998, pp. 1-32.  MR 1699356 |  Zbl 0967.37020
[3] J. Bochi, Genericity of zero Lyapunov exponents, Ergodic Theory Dynamical Systems 22 (2002).  MR 1944399 |  Zbl 1023.37006
[4] C. Bonatti, X. Gómez-Mont, R. Vila, The foliated geodesic flow of Ricatti equations, Pre-publication Dijon.
[5] C. Bonatti, X. Gómez-Mont, Sur le comportement statistique des feuilles de certains feuilletages holomorphes, Enseignement Mathématique 38 (2001).  MR 1929320 |  Zbl 1010.37025
[6] Bowen R., Symbolic dynamics for hyperbolic flows, Amer. J. Math. 95 (1973) 428-459.  MR 339281 |  Zbl 0282.58009
[7] Bowen R., Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lect. Notes in Math., 470, Springer-Verlag, 1975.  MR 442989 |  Zbl 0308.28010
[8] Bowen R., Ruelle D., The ergodic theory of Axiom A flows, Invent. Math. 29 (1975) 181-202.  MR 380889 |  Zbl 0311.58010
[9] Brin Ya., Pesin Ya., Partially hyperbolic systems, Akad. Nauk SSSR 1 (1974) 170-212.  Zbl 0304.58017
[10] Furstenberg H., Noncommuting random products, Trans. Amer. Math. Soc. 108 (1963) 377-428.  MR 163345 |  Zbl 0203.19102
[11] Guivarc'h Y., Raugi A., Products of random matrices : convergence theorems, Contemp. Math. 50 (1986) 31-54.  MR 841080 |  Zbl 0592.60015
[12] Haydn N., Canonical product structure of equlibrium states, Rand. Comput. Dynam. 2 (1994) 79-96.  MR 1265227 |  Zbl 0810.58030
[13] Hirsch M., Pugh C., Shub M., Invariant Manifolds, Lect. Notes in Math., 583, Springer-Verlag, 1977.  MR 501173 |  Zbl 0355.58009
[14] Hopf E., Ergodic theory and the geodesic flow on surfaces on constante negative curvature, Bull. Amer. Math. Soc. 77 (1971) 863-877.
Article |  MR 284564 |  Zbl 0227.53003
[15] Katok A., Nitica V., Torok A., Non-abelian cohomology of abelian Anosov actions, Ergodic Theory Dynamical Systems 20 (2000) 259-288.  MR 1747022 |  Zbl 0977.57042
[16] Lawson B., Foliations, Bull. Amer. Math. Soc. 80 (1974) 369-418.
Article |  MR 343289 |  Zbl 0293.57014
[17] Ledrappier F., Positivity of the exponent for stationary sequences of matrices, in: Lecture Notes in Math., 1186, 1986, pp. 56-73.  MR 850070 |  Zbl 0591.60036
[18] Ledrappier F., Royer G., Croissance exponentielle de certains produits aléatoires de matrices, C. Acad. Sci. 280 (1980) 513-514.  MR 571564 |  Zbl 0437.60048
[19] Leplaideur R., Local product structure for equilibrium states, Trans. Amer. Math. Soc. 352 (2000) 1889-1912.  MR 1661262 |  Zbl 0995.37017
[20] Oseledets V., A multiplicative ergodic theorem, Trans. Moscow Math. Soc. 19 (1968) 197-231.  Zbl 0236.93034
[21] Parry W., Pollicott M., Zeta functions and the periodic orbit structure of hyperbolic systems, Astérisque 187–188 (1990).  MR 1085356 |  Zbl 0726.58003
[22] Rokhlin V., Sellected topics from the metric theory of dynamical systems, Amer. Math. Soc. Transl. 49 (1966) 171-240.  Zbl 0185.21802
[23] Royer G., Croissance exponentielle de produits markoviens de matrices aléatoires, Ann. Inst. Henri Poincaré 16 (1980) 49-62.
Numdam |  MR 575176 |  Zbl 0433.60073
[24] Ruelle D., A measure associated with Axiom A attractors, Amer. J. Math. 98 (1976) 619-654.  MR 415683 |  Zbl 0355.58010
[25] Sinai Ya., Gibbs measures in ergodic theory, Russian Math. Surveys 27 (1972) 21-69.  MR 399421 |  Zbl 0255.28016
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