Papers - updated November 2010

Preprints

(with J. Buzzi) On measures of maximal entropy for partially hyperbolic systems, (2010)
Generic ergodicity and non-uniform hyperbolicity in dimension 3, (2010)
(with F. Rodriguez Hertz, R. Ures) A non-dynamically coherent example on T^3 (2010)

Submitted

Some advances on generic properties of the Oseledets splitting, (2010) arXiv:1011.3171(pdf)

(with F. Rodriguez Hertz, A. Tahzibi, R. Ures) Maximizing measures for partially hyperbolic systems with compact leaves (2010) arxiv:1010.332 (pdf)


(with F. Rodriguez Hertz, A. Tahzibi, R.Ures) New criteria for ergodicity and non-uniform hyperbolicity (2009), arxiv 0907.4539 (pdf)

Papers

(with F. Rodriguez Hertz, R.Ures) Tori with hyperbolic dynamics in 3-manifolds, (2010), to appear in J. Modern Dynamics.  pdf


(with F. Rodriguez Hertz, A. Tahzibi, R.Ures) Uniqueness of SRB measures for transitive diffeomorphisms of surfaces, to appear in Comm. Math. Phys.   arxiv:1005.4149  (pdf)

(with F. Rodriguez Hertz, R. Ures) Accessibility and abundance of ergodicity in dimension 3: a survey (2010) to appear in Publicaciones Matemáticas del Uruguay (pdf)

(with F. Rodriguez Hertz, A. Tahzibi, R. Ures) Creation of blenders in the conservative setting,  Nonlinearity, 23, no2 (2010) (pdf) 

(with T. Fisher) Quasi Anosov diffeomorphisms of 3-manifolds, Transactions of the AMS. 361 (2009) no 7 3707-3720 (pdf)

(with F. Rodriguez Hertz and R. Ures) On the existence and uniqueness of weak foliations in dimension 3, Contemporary Mathematics, 469 (2008) 303-316 (pdf)

(with K. Burns, F. Rodriguez Hertz, A. Talitskaya and R. Ures) Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center. Disc. Cont. Dyn. Sys.-A, 22 (2008) no1-2, 75-88 (special issue dedicated to Yakov Pesin) (pdf)

(with F. Rodriguez Hertz and R. Ures) Ergodicity and partial hyperbolicity in dimension 3,  Journal of Modern Dynamics 2, No.2 (2008) 187-208 (pdf)

(with F. Rodriguez Hertz and R. Ures) Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle,  Inventiones Mathematicae 172 (2008) no2, 353-381 (pdf)

(with F. Rodriguez Hertz, A. Tahzibi, R. Ures) A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms, Electron. Res. Announc. Math. Sci. 14 (2007) 74-81 (pdf)

(with F. Rodriguez Hertz and R. Ures) Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms, G. Forni, M. Lyubich, C. Pugh, M. Shub (editors), Partially hyperbolic dynamics, laminations, and Teichmüller flows, Fields Inst. Comm., AMS, Fl 2007  (pdf)

(with F. Rodriguez Hertz and R. Ures) A survey of partially hyperbolic dynamics, G. Forni, M. Lyubich, C. Pugh, M. Shub (editors), Partially hyperbolic dynamics, laminations, and Teichmüller flows, Fields Inst. Comm., AMS, Fl 2007 (pdf)

(with F. Rodriguez Hertz) Cohomology free systems and the first Betti number, Discrete and Cont. Dyn. Syst. 15, No.1 (2006), 193-196.  (pdf)

(with F. Rodriguez Hertz) Expansive attractors on surfaces, Ergodic Theory Dyn. Syst. 26, No.1 (2006), 291-302. (pdf)

(with R. Ures and J. Vieitez) On manifolds supporting quasi-Anosov diffeomorphisms, C. R., Math., Acad. Sci. Paris 334, No.4 (2002), 321-323. (pdf)

$C^0$ generic properties of stable and unstable sets of diffeomorphisms, Nonlinearity 15, No.1 (2002), 89-114. (pdf)