Research output per year
Research output per year
Personal profile
Research interests
My research is the area of Smooth Dynamical Systems, specifically those presenting some kind of hyperbolic behavior, meaning that each point has directions on its tangent space in which the derivative of the map contracts or expands vectors. We study the differential, topological and ergodic (measure theoretical) properties of these maps. Although this is a well established field in Dynamical Systems, there are still many open problems, especially if we take into account non-invertible maps.
My current research is on
- the classification of probability measures of particular interest (SRB measures, equilibrium states) for partially hyperbolic non-invertible maps on closed manifolds;
- Theoretical and computational proofs of the existence of blenders, and how they imply robust topological properties.
Education/Academic qualification
Mathematics, PhD, Regularity of foliations and rigidity for Anosov endomorphisms, Univeridade Estadual De Campinas (State University of Campinas)
1 Mar 2018 → 2 May 2022
Award Date: 2 May 2022
Applied Mathematics, Master, Periodic billiard orbits in obtuse triangles, Universidade de Saõ Paulo (University of Sao Paulo)
12 Feb 2016 → 9 Mar 2018
Award Date: 9 Mar 2018
Mathematics Education, Bachelor, Universidade de Saõ Paulo (University of Sao Paulo)
1 Jan 2018 → 31 Dec 2021
Applied and Computational Mathematics, Bachelor, Universidade de Saõ Paulo (University of Sao Paulo)
1 Feb 2012 → 17 Dec 2015
External positions
Postdoctoral researcher, Universidade Federal Fluminense (Fluminense Federal University)
1 Jun 2022 → 31 May 2023
Research area keywords
- Dynamical systems
- Ergodic theory
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Research output
- 1 Article
-
Anosov endomorphisms on the two-torus: regularity of foliations and rigidity
Cantarino, M. & Varão, R., 1 Oct 2023, In: Nonlinearity. 36, 10, p. 5334-5357 24 p.Research output: Contribution to journal › Article › Research › peer-review
2 Citations (Scopus)