A Livsic theorem for matrix cocycle over non-uniformly hyperbolic systems.
(with Lucas Backes), Journal of Dynamics and Diferential Equations (2018) arxiv
Ph. D in Mathematics
Post doc at Université PARIS SUD
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 graduated as P.h.D. at IMPA (Institute of Pure and Applied Mathematics) at
Rio de Janeiro under the supervision of Marcelo Viana.
(with Lucas Backes), Journal of Dynamics and Diferential Equations (2018) arxiv
Bulletin of the Brazilian Mathematical Society (2018) link
(with Lucas Backes and Adriana Sanchez) to appear in Mathematical Research Letters(2017) (link to arxiv)
(with Lucas Backes) Stochastic and Dynamics 17, 1750047 (2017)link
(with Marcelo Viana), Nonlinearity (2018) link
(with Lucas Backes and Paulo Varandas) Ergodic theory and dynamical systems (2019) link
(with Davi Obata), preprint (2018).arxiv
(with Jamerson Bezerra), preprint (2019).arxiv
Contact:
Universidade Federal do Ceará
Departamento de Matemática
Av. Humberto Monte, s/n
Campus do Pici - Bloco 914
CEP: 60.440-900
mpoletti@impa.br