Pesquisa - Research

Curriculum Lattes: http://lattes.cnpq.br/3472612472350503

Artigos publicados

1. Adapted Metrics for Singular Hyperbolic Flows, Bull. Braz. Math. Soc.. 2020. online:https://rdcu.be/b9zJl - Joint with Vitor Araujo (UFBA) and Vinicius Coelho (UFOB).

2. Adapted Metrics for Codimension one Singular Hyperbolic Flows. Volume "New Trends in One Dimensional Dynamics - in honor to Welington de Melo", 2018-2019. Joint with V. Coelho.

3. Singular hyperbolicity and sectional Lyapunov exponents of various orders, DOI 10.1090/proc/14254, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018.

4. Dominated splitting for exterior powers and singular hyperbolicity, Journal of Differential Equations. 2015. With V. Araujo.

5. Dominated splitting for flow with singularities, Nonlinearity. 2013. Joint work with V. Araujo and A. Arbieto.

6. Infinitesimal Lyapunov functions for singular flows, Mathematische Zeitschrift. 2013. Joint work with V. Araujo (UFBA).

7. On critical orbits and sectional hyperbolicity of the nonwandering set for flows, Journal of Differential Equations.2011. Joint work with A. Arbieto(UFRJ).

ARTIGOS ACEITOS PARA PUBLICAÇÃO

1. Adapted Metrics for Singular Hyperbolic Flows, Bull. Braz. Math. Soc.. 2020. published online:https://rdcu.be/b9zJl - Joint with Vitor Araujo (UFBA) and Vinicius Coelho (UFOB).

PRÉ-PUBLICAÇÕES

• 1. A note on compactness of manifolds supporting Anosov diffeomorphisms. 2020. preprint.

  2. Diffeomorphisms away from tangencies and Palis conjecture. 2018. preprint em andamento.

  3. Star flows: a characterizaton via Lyapunov functions. arXiv:1704.01987, 2017. Submitted.

1. On Schauder basis in normed spaces - arXiv:1806.07943, 2018. Joint with V. Coelho and J. Ribeiro.

   1. Partially dominated splittings. arXiv:1402.1511. 2014.