CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Undergraduate at Matematics from Universidade Estadual Paulista Júlio de Mesquita Filho (1989), masters at Matematics from Universidade de São Paulo (1993) and Ph.D. at Mathematics from IMPA - Instituto Nacional de Matemática Pura e Aplicada (1999). Has experience in Mathematics, focusing on Dynamical Systems, acting on the following subjects: partial hyperbolicity, non-uniform hyperbolicity, fractal dimensions, ergodic theory, and stochastic dynamics. (Source: Lattes Curriculum)
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The notion of accessibility encompasses the idea of joining different points in the manifold by paths formed by arcs of paths contained in the strong stable and strong unstable manifolds, partcrucial in the Hopf argument to show ergodicity. In this project we will study this property for partially hyperbolic diffeomorphisms whose central direction has dimension equal to 2. (AU)
We will study robust or generic properties for a large set of families of volume preserving diffeomorphisms unfolding heterodimensional cycles. Also we will look for non hyperbolic ergodic invariant measures for those diffeomorphisms.
In this project we deal with problems related with dynamical and ergodic properties of dynamical systems, especially of symplectic diffeomorphisms. We study generic properties in $C^r$-topology, $r\ge 1$, and estimates about topological entropy. (AU)
In general, a physical system in nature has a large number of independent variables. Mathematical models are used to study such systems. These models are simplifications of the real systems: we consider the most relevant variables and the others or are not involved or they are considered as a noise (random perturbations). In the former case, we have a deterministic dynamical system and in…
| 5 / 1 | Completed research grants |
| 6 / 1 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 13 / 4 | All research grants and scholarships |
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