bachelor's at Matematica Bacharelado from Universidade Federal de Minas Gerais (UFMG), master's at Mathematics from Universidade Federal de Minas Gerais (UFMG) and PhD at Mathematics from Associação Instituto Nacional de Matemática Pura e Aplicada (IMPA). Has experience in Mathematics, acting on the following subjects: ergodicity, dynamical systems, dynamics of linear operators. (Source: Lattes Curriculum)
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This master's scholarship proposal intends to investigate possible density aspects of hypercyclic operators, i.e., operators in infinite dimension spaces that have a dense orbit. In fact, it is known that in the topology obtained with the usual norm, hypercyclics operators are nowhere dense. However, there is density in weaker topologies. In addition, we have already shown a class of oper…
This project aims to study ergodic and algebraic properties for a class of dynamical systems whose invariant measure is infinite. It is noteworthy that the classical Birkhoff ergodic theorem is not valid when the measure preserved by the system is not finite. We will study skew products defined on cylinders whose base is minimal, for example irrational rotations on the n-dimensional torus…
The aim of the research project to be developed during the internship abroad is divided in two parts: (i) to explore if it is possible to characterize those infinite dimensional operator such that their non-wandering set is robustly transitive (ii) For any operator or at least for generic ones, to explore the possibility of finding a spectral decomposition of the non-wandering set (or the…
The aim of this project is investigate ergodic properties for systems with an infinite invariant measure in the context of elliptic dynamics.The purpose is to study in collaboration with Bassam Fayad ergodic properties of elliptic constructions on the infinite cylinder. We will also investigate certain elliptic constructions on the closed cylinder that preserve an infinite ergodic measure…
| 1 / 1 | Completed research grants |
| 2 / 2 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 5 / 5 | All research grants and scholarships |
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