Página Inicial Pesquisa/Escritos Ensino Eventos
Interesses: Sistemas Dinâmicos, Teoria Ergódica, Difeomorfismos de Anosov, Parcialmente Hiperbólicos, ações de Anosov, Sistemas Dinâmicos Descontínuos, etc.
Publicados/Aceitos:
- G. Ponce, A. Tahzibi, R. Varão, On the Bernoulli Property for certain partially hyperbolic diffeomorphism, Advances in Mathematics – Arxiv, pdf – 2018
- R. Varão, Rigidity for partially hyperbolic diffeomorphisms – arxiv, pdf
Ergodic Theory and Dynamical Systems – 2018
- D. Novaes, G. Ponce, R. Varão, Chaos Induced by Sliding Phenomena in Filippov Systems – (for online read) – pdf – 2017
Journal of Dynamics and Differential Equations
- R. Varão, Center foliation: absolute continuity, disintegration and rigidity, Ergodic Theory and Dynamical Systems, 2016. PDF
- R. Varão, Lyapunov exponents and smooth invariant foliations for partially hyperbolic diffeomorphisms on $\mathbb T^3$, Dynamical Systems: An international Journal, 2015. PDF
- G. Ponce, A. Tahzibi, R. Varão, Minimal yet measurable foliation, Journal of Modern Dynamics, 2014. PDF
Submetidos/Preprint:
- R. R. Lopes, C. Maquera, R. Varão, Anosov actions: minimality of strong foliations or suspension action
- G. Ponce, R. Varão, Measure Rigidity and Disintegration: Time-one map of flows. – pdf
- D. D. Novaes, R. Varão, Invariant measures for Fillipov systems. – PDF
Outros:
- Book: An introduction to Kolmogorov Bernoulli equivalence – To appear on Springer Briefs (in preparation). Joint work with Gabriel Ponce
- Regularity of invariant foliations and its relation to the dynamics, Cadernos Matemáticos – ICMC. Vol. 16, 1., 2015
- Os sistemas mais caóticos conhecidos pela humanidade – com G. Ponce
Notas do minicurso no Quarto Colóquio Regional do Centro Oeste
- Algumas notas de aulas antigas. Usar com cautela.
. Dinâmica Hiperbólica e Teoria Ergódica
. Topologia Diferencial (Cuidado deve conter vários erros …)