no. 1
Uniform (projective) hyperbolicity or no hyperbolicity : a dichotomy for generic conservative maps
Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 1, pp. 113-123. 
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     author = {Bochi, Jairo and Viana, Marcelo},
     title = {Uniform (projective) hyperbolicity or no hyperbolicity : a dichotomy for generic conservative maps},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {113--123},
     publisher = {Elsevier},
     volume = {19},
     number = {1},
     year = {2002},
     mrnumber = {1902547},
     zbl = {01785834},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_2002__19_1_113_0/}
}
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Bochi, Jairo; Viana, Marcelo. Uniform (projective) hyperbolicity or no hyperbolicity : a dichotomy for generic conservative maps. Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 1, pp. 113-123. http://archive.numdam.org/item/AIHPC_2002__19_1_113_0/

[1] Arnaud M.-C., The generic symplectic C1 diffeomorphisms of 4-dimensional symplectic manifolds are hyperbolic, partially hyperbolic, or have a completely elliptic point, preprint Orsay, 2000. | MR

[2] Avila A., Bochi J., A formula with some applications to the theory of Lyapunov exponents, www.preprint.impa.br.

[3] Bochi J., Genericity of zero Lyapunov exponents, www.preprint.impa.br. | MR

[4] Bochi J., Viana M., A sharp dichotomy for conservative systems: zero Lyapunov exponents or projective hyperbolicity, in preparation.

[5] Bonatti C., Viana M., Lyapunov exponents with multiplicity 1 for deterministic products of matrices, www.preprint.impa.br. | MR

[6] Bowen R., Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lect. Notes in Math., 470, Springer Verlag, 1975. | MR | Zbl

[7] Herman M., Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2, Comment. Math. Helvetici 58 (1983) 453-502. | MR | Zbl

[8] Ledrappier F., Quelques propriétés des exposants caractéristiques, École d'Été de Probabilités de Saint-Flour XII, 1982, Lect. Notes in Math., 1097, Springer Verlag, 1984. | MR | Zbl

[9] Mañé R., Oseledec's theorem from the generic viewpoint, in: Procs. Intern. Congress Math. Warszawa Vol. 2, 1983, pp. 1259-1276. | Zbl

[10] Mañé R., The Lyapunov exponents of generic area preserving diffeomorphisms, in: Procs. Intern. Conf. Dynam. Syst., Montevideo, Pitman RNMS, 362, 1996, pp. 110-119. | MR | Zbl

[11] Oseledets V., A multiplicative ergodic theorem, Trudy Moscow Math. Obs. 19 (1968) 179-210. | MR | Zbl

[12] Ruelle D., Analyticity properties of the characteristic exponents of random matrix products, Adv. Math. 32 (1979) 68-80. | MR | Zbl