CV Lattes
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Universidade de São Paulo (USP). Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Bacharelado em Matematica from Universidade de São Paulo (2001), master's at Mathematics from Universidade de São Paulo (2003) and doctorate at Mathematics from Universidade de São Paulo (2006). He is currently full professor at Universidade de São Paulo. Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: planar maps, transformações de intercâmbio de intervalos, injectivity, estabilidade estrutural and conjectura de peixoto. (Source: Lattes Curriculum)
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Topological dynamics is the study of the asymptotic behaviour of one parameter (countable or real) family of transformations considering the existence of periodic attractors (limit cycles), Cantor or fractal attractors, invariant measures, dense orbits and Lyapunov functions. In this research proposal, we investigate the topological dynamics of interval transformations with finitely many…
This research proposal aims at broadening the scientific collaboration between Visiting Professor Udayan Darji (University of Louisville) and Professor Benito Pires (USP-Ribeirão Preto), through a long-term visit (12 months) of the first researcher. Prior and successful scientific collaboration between the involved researchers (which resulted in a submitted article and another in progress…
The first aim of this proposal is to find necessary and sufficient conditions for the occurrence of Li-Yorke chaos in the composition operator $T_f:\varphi\mapsto \varphi\circ f$ acting on $L^p(X,\mathscr{B},\mu)$, where $\mu$ is a $\sigma$-finite measure on the Banach space $X$ and $f:X\to X$ is an injective bimeasurable map. The second aim of this proposal is the construction of switch…
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Optimization of many variable functions is an extremely important topic that penetrates several areas of Pure and Applied Mathematics. The simplest functions that can be optimized throughout Rn are quadratic functions. Many Physics and Engineering problems can be placed in this context. In fact, one of the fundamental principles of mechanics is that nature acts to minimize some function. …
In this research proposal, one studies the mathematics behind algorithms that count objects in images. The mathematical approach is denominated Mathematical Morphology. The proposal includes both the theoretical part (binary matrices, adjacency matrices, graphs, connected components and spectral theory of matrices) as well as the applied part (digitalization of images, representation of …
This research proposal is an introduction to ergodic theory focusing on its applications to number theory. More specifically, it consists in studying the stochastic behaviour of the following sequences of integers {1,2,4,8,1,3,6,1,2,5,1,...}(obtained taking the first digits of {2^n} and the sequence of the digits of the decimal expansion of a real number. In this way, the project lies div…
This research proposal approaches the theory of asymptotically stable discrete dynamical systems. In this respect, it may be divided into two parts:the first one consists of an introduction to the general theory of discrete dynamical systems whereas the second part embraces the study of spectral conditions that ensures the asymptotic stability of the system.
| 7 / 7 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 7 / 2 | Completed scholarships in Brazil |
| 16 / 11 | All research grants and scholarships |
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