CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Associate Professor at IMECC-UNICAMP. Undergraduated from UNICAMP and he has a master and PhD degree from IMPA. He has been a post-doc at ICMC-USP and University of Chicago. His main research area is Dynamical Systems and Ergodic Theory. (Source: Lattes Curriculum)
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This project studies the disintegration of invariant measures for a given dynamical system. In general disintegration is associated mainly with objects invariant to dynamics, such as stable, unstable or central foliations. One of the main objectives is to understand how this relationship between dynamics and disintegration happens. Another objective is to analyze the most general conditio…
This undergrad research project is an introduction to ergodic theory. The student must study the basic theorems of the theory, such as Poincare's recurrence theorem, give applications to Birkhoff's ergodic theorem, in addition to studying the ergodicity of some models of dynamic systems.
The objective of this project is to comprehend techniques related to the disintegration of measures in the context of ergodic theory, specifically focusing on disintegrations within invariant foliations.
This project analyzes the ergodic theory for continuous linear operators in Banach space. The non-compactness of the Banach space does not allow the use of classic tools and therefore imposes new challenges. The idea is to seek to characterize invariant measures for linear operators, as well as understant it for important cases such as weighted shifts. (AU)
This project is an introduction to dynamical systems through fundamental examples. The main examples are the rotation in the circle, the Smales horseshoe and symbolic dynamics.
This project is an introduction to Dynamic Systems via the study of some models and fundamental phenomena. The models chosen are the rotations in the circle, expanding endomorphism’s in the circle, symbolic dynamics and equidistributional of the orbits of irrational rotation. Beyond of an introduction to dynamic systems this undergraduate research project serves as a training for the stud…
This master's project aims to study transverse measures invariant by a dynamically defined foliation. The richness of the subject lies in the mixture of diverse areas of mathematics. The purpose is to prove the unique ergodicity of the stable or unstable foliation defined by an Anosov diffeomorphism. (AU)
(Only some records are available in English at this moment)
This is a master's research visit project to SUSTech to work on the ergodic theory of Lyapunov Exponents. The goal is to understand the theory of Lyapunov exponents from a perspective of ergodic theory, such as stable and unstable manifolds associated to nonnegative Lyapunov exponents, absolute continuity of such foliations and some applications on ergodic theory. Lyapunov exponents are a…
This project is a contribution to dynamical systems. The main dynamical objects are the linear operators. The goal is to understand dynamical properties of new examples of linear operators, motivated by the recent study of composition linear operators. These operators have been studied in many contexts and they appear in numerous areas of research. (AU)
We use new approaches and tools to better analyze the developments of some already obtained results related to rigidity of a partially hyperbolic diffeomorphism. These results, briefly, are examples of volume preserving Anosov on the three-dimensional torus such that the disintegration of volume on the center leaves is neither atomic nor Lebesgue; and examples of partially hyperbolic diff…
| 1 / 1 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 9 / 9 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 2 / 2 | Completed scholarships abroad |
| 16 / 16 | All research grants and scholarships |
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