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Table des matières de ce fascicule | Article précédent | Article suivant 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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[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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