Publicações :


– Minimal Yet Measurable Foliations, Journal of Modern Dynamics, 2014.
Joint with A. Tahzibi and R. Varão.

– Central Lyapunov Exponent of Partially Hyperbolic Diffeomorphisms, Proceedings of American Mathematical Society, 2014.
Joint with A. Tahzibi

– Chaos Induced by Sliding Phenomena in Filippov Systems – Journal of Dynamics and Differential Equations, 2017.
Joint with D. D. Novaes and R. Varão . Online reading

– Generating positive geometric entropy from recurrent leaves –  Proc. of the Amer. Math. Soc. – 2018

– Bernoulli Property for Partially Hyperbolic Derived from Anosov Diffeomorphisms – Advances in Mathematics, Volume 329, Pages 329-360.
Joint with A. Tahzibi and R. Varão. – 2018

– Unstable entropy of partially hyperbolic diffeomorphisms and generic points of ergodic measures,  2019,  Nonlinearity.

 

Preprints / submetidos:

  • Classification of conditional measures along certain invariant one dimensional foliations – Joint with M. Noriega and R. Varão
  • Ergodic properties of partially hyperbolic diffeomorphisms with topological neutral center.
  • On The Hausdorff Dimension of Sliding Shilnikov Invariant Sets, joint with Matheus Gonçalves and Douglas Novaes.
  • A note on the conditional measures of transitive partially hyperbolic diffeomorphisms with topological neutral center. Joint with M. E. Noriega and F. R. Hertz

Livros:


“An introduction to the Kolmogorov-Bernoulli equivalence”, Ponce.G and Varão. R.; SpringerBriefs, Springer

Outros:

Os sistemas mais caóticos já conhecidos pela humanidade (joint with R. Varão) – Notes from a mini course given at the Colóquio Brasileiro de Matemática da Região Centro-Oeste – 2015