V. Ay-]-afraimovich and T. Young, Mather invariants and smooth conjugacy on S 2, J. Dynamical & Control Systems, vol.3, pp.341-352, 2000.

M. Arnaud, C. Bonatti, and S. Crovisier, Dynamiques symplectiques g??n??riques, Ergodic Theory and Dynamical Systems, vol.25, issue.05, pp.1401-1436, 2005.
DOI : 10.1017/S0143385704000975

C. Bonatti, S. Crovisier, and A. Wilkinson, The centralizer of a C 1 generic diffeomorphism is trivial (annoucement)

C. Bonatti, S. Crovisier, and A. Wilkinson, The C 1 generic diffeomorphism has trivial centralizer, Publications math??matiques de l'IH??S, vol.71, issue.1
DOI : 10.1007/s10240-009-0021-z
URL : https://hal.archives-ouvertes.fr/hal-00271388

S. Crovisier and A. Wilkinson, C 1 genericity of trivial centralizers for conservative diffeomorphisms

C. Bonatti and L. J. Díaz, On maximal transitive sets of generic diffeomorphisms, Publications math??matiques de l'IH??S, vol.96, issue.1, pp.171-197, 2002.
DOI : 10.1007/s10240-003-0008-0

. Bonatti, L. J. Ch-;-díaz, and E. R. Pujals, -generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources, Annals of Mathematics, vol.158, issue.2, pp.355-418, 2003.
DOI : 10.4007/annals.2003.158.355
URL : https://hal.archives-ouvertes.fr/hal-00538112

. Bonatti, L. Ch-;-díaz, and M. Viana, Dynamics beyond uniform hyperbolicity, Encyclopedia of Math. Sci, vol.102, 2005.

C. Bgv-]-bonatti, N. Gourmelon, and T. Vivier, Perturbations of the derivative along periodic orbits, Ergodic Theory and Dynamical Systems, vol.26, issue.05, pp.1307-1337, 2006.
DOI : 10.1017/S0143385706000253

B. Ff-]-farb and J. Franks, Groups of homeomorphisms of one-manifolds III: nilpotent subgroups, Ergodic Theory and Dynamical Systems, vol.23, issue.5, pp.1467-1484, 2003.
DOI : 10.1017/S0143385702001712

[. Kopell and N. , Commuting diffeomorphisms, Global Analysis, pp.165-184, 1970.
DOI : 10.1007/bfb0070203

[. Mather and J. , Commutators of diffeomorphisms, Commentarii Mathematici Helvetici, vol.49, issue.1, pp.195-233, 1973.
DOI : 10.1007/BF02566746

[. Palis and J. , Vector fields generate few diffeomorphisms, Bulletin of the American Mathematical Society, vol.80, issue.3, pp.503-505, 1974.
DOI : 10.1090/S0002-9904-1974-13470-1
URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183535529

S. Smale, Dynamics retrospective: great problems, attempts that failed. Nonlinear science: the next decade, pp.267-273, 1990.
DOI : 10.1142/9789812792822_0034

S. Smale, Mathematical problems for the next century, The Mathematical Intelligencer, vol.50, issue.2, pp.7-15, 1998.
DOI : 10.1007/BF03025291