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, FUNCAP and Instituto Serrapilheira

Curriculum lattes

Publications

Homoclinic classes of geodesic flows on rank 1 manifolds. (with Y. Lima), Proceedings of the AMS (to apear) arxiv
Symbolic dynamics of non uniformly hyperbolic maps with singularities in high dimension (with E. Araujo and Y. Lima), Memoires of the AMS (2024) link
Uniqueness of u-Gibbs measures for hyperbolic skew products on T^4. (with Sylvain Crovisier and Davi Obata). Communications in Mathematical Physics (2024) link
Holder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps (With Pedro Duarte and Silvius Klein) Mathematische Zeitschrift (2022)link
Random product of quasi-periodic cocycles (with Jamerson Bezerra), Proceedings of the AMS (2021).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
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
Simple Lyapunov Spectrum for linear cocycles over certain partially hyperbolic maps (with Marcelo Viana), Nonlinearity (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
Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms. Discrete and Continous Dynamical Systems (2018) link
A Livsic theorem for matrix cocycle over non-uniformly hyperbolic systems (with Lucas Backes), Journal of Dynamics and Diferential Equations (2018) link
Geometric growth for Anosov maps on the 3 torus. Bulletin of the Brazilian Mathematical Society (2018) link
Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces (with Lucas Backes) Stochastic and Dynamics 17, 1750047 (2017)link

Survey

An invitation to SL2(R) cocycles over random dynamic (with Jamerson Bezerra) New trends in Lyapunov exponents (2023), link, arxiv.

Pre-prints

Invariance principle and non compact center foliations. (with Sylvain Crovisier) arxiv
Measures of maximal entropy for non-uniformly hyperbolic maps. (with Yuri Lima and Davi Obata) arxiv

Dynamics at UFC

Dynamical Systems Seminar at UFC
2nd School of Advanced Studies (January 2025)

Videos

School and Workshop on Dynamical Systems at ICTP 2024. Minicourse: Partially hyperbolic diffeomorphisms with zero center exponent: An invariance Principle
33 Coloquio Brasileiro de Matemática 2021: Partially hyperbolic diffeomorphisms with zero center exponent
Dinâmica Arretada 2021: Continuidade Hölder de expoentes de Lyapunov para cociclos sobre difeomorfismos hiperbólicos.
Conhecendo Matemática UECE 2021: Teoria do Caos