Publications

  • Journal Papers

Academic papers

• (with P. Carrasco, F. Rodriguez Hertz and R. Ures) Partially hyperbolic dynamics in dimensión 3, to appear in Ergodic Theory and Dynamical Systems.

• (with F. Rodriguez Hertz and R. Ures) Center-unstable foliations do not have compact leaves, Mathematical Research Letters, 23, 6, (2016) 1819-1832

• (with F. Rodriguez Hertz and R. Ures) A non-dynamically coherent example on T3, Annales de l`Institut Henri Poincar. Analyse Non Linaire , 33,4,(2016) 1023-1032

• Some advances on generic properties of the Oseledets splitting, Disc. Cont. Dyn. Sys. A , (2013) 33 , 9

• Genericity of non-uniform hyperbolicity in dimension 3, Journal of Modern Dynamics , 6 , 1 (2012) 121-138.

• (with F. Rodriguez Hertz, A. Tahzibi and R. Ures), Maximizing measures for partially hyperbolic systems with compact leaves, Ergodic Theory & Dynamical Systems , 32 ,2 (2012) 825-839.

• (with F. Rodriguez Hertz, A. Tahzibi and R. Ures), New criteria for ergodicity and non-uniform hyperbolicity, Duke Math. Journal , 160 , 3, (2011) 599-629.

• (with F. Rodriguez Hertz and R. Ures), Accessibility and abundance of ergodicity in dimension 3: a survey, Publicaciones Matematicas del Uruguay , 12 (2011) 177-198.

• (with F. Rodriguez Hertz, A. Tahzibi and R. Ures), Uniqueness of SRB measures for transitive diffeomorphisms of surfaces, Comm. Math. Phys. , 306 , 1, (2011) 35-49.

• (with F. Rodriguez Hertz and R. Ures), Tori with hyperbolic dynamics in 3-manifolds, J. Modern Dyn. ,5 , 1 (2011) 185-202.

• (with F. Rodriguez Hertz, A. Tahzibi and R. Ures), Creation of blenders in the conservative setting Nonlinearity, 23 , 2, (2010) 211- 223.

• (with T. Fisher), Quasi-Anosov dieomorphisms of 3-manifolds, Transactions of the AMS, 361 , 7, (2009) 3707-3720.

• (with K. Burns, F. Rodriguez Hertz, A. Talitskaya and R. Ures), Density of accessibility for partially hyperbolic dieomorphisms with one-dimensional center, Disc. Cont. Dyn. Sys. A volume dedicated to Ya. Pesin, 22 1/2 (2008) 75-88

• (with F. Rodriguez Hertz and R. Ures) Partial hyperbolicity and ergodicity in dimension three, J. Modern Dynamics, 2 , 2 (2008) 187-208.

• (with F. Rodriguez Hertz and R. Ures), On the existence and uniqueness of weak foliations in dimension 3, Contemp. Math, volume dedicated to M. Brin, 469 (2008) 303-316.

• (with F. Rodriguez Hertz and R. Ures), Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle, Inventiones Math., 172 , 2 (2008) 187-208.

• (with F. Rodriguez Hertz, A. Tahzibi and R. Ures), A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms, ERA, 14 (2007).

• (with F. Rodriguez Hertz and R. Ures), A survey of partially hyperbolic dynamics, “Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow," (eds G. Forni, M. Lyubich, C. Pugh and M. Shub), Fields Inst. Comm., AMS, (2007), 35-88.

• (with F. Rodriguez Hertz and R. Ures), Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms, “Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow," (eds G. Forni, M. Lyubich, C. Pugh and M. Shub), Fields Inst. Comm., AMS, (2007), 103-112.

• (with F. Rodriguez Hertz), Cohomology free actions and the rst Betti number, Disc. Cont. Dyn. Sys., 15 , 1 (2006) 193-196.

• (with F. Rodriguez Hertz), Expansive attractors on surfaces, Erg. Th. & Dyn. Sys., 26 , 1 (2006) 291-302 .

• (with R. Ures and J. Vieitez), On manifolds supporting quasi-Anosov diffeomorphisms, C.R. Math. Acad. Sci. Paris , 334 , 4 (2002) 321- 323.

• C0 generic properties of stable and unstable sets of diffeomorphisms, Nonlinearity, 15 , 1 (2002) 89-114.

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