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
graduate degree at Matemática from Université Des Sciences I , Hassan II Casablanca (1991), master's at Matemática from Université Claude Bernard Lyon I (1992) and doctorate at Matemática Pura from Université de La Méditérannée, Faculté Des Sciences de Luminy Aix Marseille (1996). Has experience in Mathematics, focusing on Discreet and Combinatory Mathematics, acting on the following subjects: fractais, sistemas dinâmicos, substituição, azulejamentos and fractals. (Source: Lattes Curriculum)
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This project is a continuation of two previous thematic projects: Ergodic and Qualitative Theories of Dynamical Systems (process 2013/24541-0) and Ergodic and Qualitative Theories of Dynamical Systems II (process 2019/10269-3). Our goal is to study problems in the field of dynamical systems and their connections with other areas such as Analysis, Number Theory, and Topology. The problems …
This project is a continuation of the thematic project: Ergodic and Qualitative Theories of Dynamical Systems (process 2013 / 24541-0). Our goal is to study several problems in the area of dynamical systems and their connections with other areas such as Analysis, Ergodic Theory, Number Theory, Topology among many others. The problems to be addressed are current and include the following t…
In this work, we aim to study various problems related with Dynamical systems theory, Operator theory, ergodic theory and probability.Precisely, we will study the following topics:1. Expansivity, shadowing, structural stability and ergodicity in linear dynamical systems.2. Differents types of caos in linear dynamics.3. Dynamical properties of infinite matrices and connection with Markov…
(Only some records are available in English at this moment)
We intend to study several themes related to discrete dynamical systems. These studiesare connected with number theory, probability theory, Complex Analysis and operatortheory. In particular, we will study topics on the substitution theory and its connectionswith adding machines, Julia sets, Sloane transformations, Rauzy Fractals and diophantineapproximations
We intend to study dynamical and topological properties of Interval exchange transformations and their relationship with symbolic dynamics associated with substitutions and also with a class of fractal sets called Rauzy Fractals.
We intend to study several problems related to combinatorial, dynamical and topological properties for a class of discrete dynamical systems. These studies arerelated to number theory, combinatorics, ergodic theory and operator theory.Topics such as Dynamics of substitutions, Julia sets and Linear Dynamics will be involved.
The aim of this work is to study dynamical, topological and spectral properties for a class of operators associated to the stochastic adding machine. This study involves the following topics (among others): Stochastic adding machine, Vershik adic maps, Stochastic process and Markov chains, Dynamic of endomorphism of C^n, for n greater than 1, Julia sets in C^2 (and in R^2), Dynamic of lin…
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…
(Only some records are available in English at this moment)
We will study dynamical properties of affine interval exchange transformation and their relation with dynamical systems associated to substitutions and also with a class of sets called Rauzy Fractals.
In this work we will investigate connections between Bratteli diagrams, Rauzy fractals and Julia sets.
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…
(Only some records are available in English at this moment)
| 1 / 1 | Ongoing grants |
| 7 / 6 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 6 / 6 | Completed scholarships in Brazil |
| 4 / 4 | Completed scholarships abroad |
| 20 / 19 | All research grants and scholarships |
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