Mauricio Poletti
Professor at Universidade Federal do Ceará and ICTP Associate. My area of research is dynamical systems and ergodic theory, more specifically in hyperbolic dynamics. I work in problems related to Lyapunov exponents, linear cocycles, non-uniform and partial hyperbolicity.
I am funded by CNPq and Instituto Serrapilheira
Publications
Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces (with Lucas Backes) Stochastic and Dynamics 17, 1750047 (2017)link
Geometric growth for Anosov maps on the 3 torus. Bulletin of the Brazilian Mathematical Society (2018) link
A Livsic theorem for matrix cocycle over non-uniformly hyperbolic systems (with Lucas Backes), Journal of Dynamics and Diferential Equations (2018) link
Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms. Discrete and Continous Dynamical Systems (2018) link
The set of fiber bunched cocycles with non-vanishing Lyapunov exponents over a partially hyperbolic map is open (with Lucas Backes and Adriana Sanchez) Mathematical Research Letters(2018) link
Simple Lyapunov Spectrum for linear cocycles over certain partially hyperbolic maps (with Marcelo Viana), Nonlinearity (2018) link
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems (with Lucas Backes, Yuri Lima and Paulo Varandas) Ergodic theory and dynamical systems (2019) link
Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products (with Davi Obata), Journal of Dynamics and Diferential Equations (2021).link
Random product of quasi-periodic cocycles (with Jamerson Bezerra), Proceedings of the AMS (2021).link
Symbolic dynamics of non uniformly hyperbolic maps with singularities in high dimension (with E. Araujo and Y. Lima), Memoires of the AMS (to appear) arxiv
Holder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps (With Pedro Duarte and Silvius Klein) Mathematische Zeitschrift (2022)link
Pre-prints
Uniqueness of u-Gibbs measures for hyperbolic skew products on T^4. (with Sylvain Crovisier and Davi Obata). arxiv
Invariance principle and non compact center foliations. (with Sylvain Crovisier) arxiv
Homoclinic classes of geodesic flows on rank 1 manifolds. (with Yuri Lima) arxiv
Measures of maximal entropy for non-uniformly hyperbolic maps. (with Yuri Lima and Davi Obata) arxiv