@article{AIHPC_2003__20_4_579_0, author = {Bonatti, Christian and G\'omez-Mont, Xavier and Viana, Marcelo}, title = {G\'en\'ericit\'e d'exposants de {Lyapunov} non-nuls pour des produits d\'eterministes de matrices}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {579--624}, publisher = {Elsevier}, volume = {20}, number = {4}, year = {2003}, doi = {10.1016/S0294-1449(02)00019-7}, mrnumber = {1981401}, zbl = {1025.37018}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/S0294-1449(02)00019-7/} }
TY - JOUR AU - Bonatti, Christian AU - Gómez-Mont, Xavier AU - Viana, Marcelo TI - Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices JO - Annales de l'I.H.P. Analyse non linéaire PY - 2003 SP - 579 EP - 624 VL - 20 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S0294-1449(02)00019-7/ DO - 10.1016/S0294-1449(02)00019-7 LA - fr ID - AIHPC_2003__20_4_579_0 ER -
%0 Journal Article %A Bonatti, Christian %A Gómez-Mont, Xavier %A Viana, Marcelo %T Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices %J Annales de l'I.H.P. Analyse non linéaire %D 2003 %P 579-624 %V 20 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S0294-1449(02)00019-7/ %R 10.1016/S0294-1449(02)00019-7 %G fr %F AIHPC_2003__20_4_579_0
Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo. Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. Annales de l'I.H.P. Analyse non linéaire, Volume 20 (2003) no. 4, pp. 579-624. doi : 10.1016/S0294-1449(02)00019-7. http://archive.numdam.org/articles/10.1016/S0294-1449(02)00019-7/
[1] Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967). | MR | Zbl
,[2] 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 | Zbl
, ,[3] J. Bochi, Genericity of zero Lyapunov exponents, Ergodic Theory Dynamical Systems 22 (2002). | MR | Zbl
[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 | Zbl
[6] Symbolic dynamics for hyperbolic flows, Amer. J. Math. 95 (1973) 428-459. | MR | Zbl
,[7] Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lect. Notes in Math., 470, Springer-Verlag, 1975. | MR | Zbl
,[8] The ergodic theory of Axiom A flows, Invent. Math. 29 (1975) 181-202. | MR | Zbl
, ,[9] Partially hyperbolic systems, Akad. Nauk SSSR 1 (1974) 170-212. | Zbl
, ,[10] Noncommuting random products, Trans. Amer. Math. Soc. 108 (1963) 377-428. | MR | Zbl
,[11] Products of random matrices : convergence theorems, Contemp. Math. 50 (1986) 31-54. | MR | Zbl
, ,[12] Canonical product structure of equlibrium states, Rand. Comput. Dynam. 2 (1994) 79-96. | MR | Zbl
,[13] Invariant Manifolds, Lect. Notes in Math., 583, Springer-Verlag, 1977. | MR | Zbl
, , ,[14] Ergodic theory and the geodesic flow on surfaces on constante negative curvature, Bull. Amer. Math. Soc. 77 (1971) 863-877. | MR | Zbl
,[15] Non-abelian cohomology of abelian Anosov actions, Ergodic Theory Dynamical Systems 20 (2000) 259-288. | MR | Zbl
, , ,[16] Foliations, Bull. Amer. Math. Soc. 80 (1974) 369-418. | MR | Zbl
,[17] Positivity of the exponent for stationary sequences of matrices, in: Lecture Notes in Math., 1186, 1986, pp. 56-73. | MR | Zbl
,[18] Croissance exponentielle de certains produits aléatoires de matrices, C. Acad. Sci. 280 (1980) 513-514. | MR | Zbl
, ,[19] Local product structure for equilibrium states, Trans. Amer. Math. Soc. 352 (2000) 1889-1912. | MR | Zbl
,[20] A multiplicative ergodic theorem, Trans. Moscow Math. Soc. 19 (1968) 197-231. | Zbl
,[21] Zeta functions and the periodic orbit structure of hyperbolic systems, Astérisque 187-188 (1990). | Numdam | MR | Zbl
, ,[22] Sellected topics from the metric theory of dynamical systems, Amer. Math. Soc. Transl. 49 (1966) 171-240. | Zbl
,[23] Croissance exponentielle de produits markoviens de matrices aléatoires, Ann. Inst. Henri Poincaré 16 (1980) 49-62. | EuDML | Numdam | MR | Zbl
,[24] A measure associated with Axiom A attractors, Amer. J. Math. 98 (1976) 619-654. | MR | Zbl
,[25] Gibbs measures in ergodic theory, Russian Math. Surveys 27 (1972) 21-69. | MR | Zbl
,Cited by Sources: