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Papers by Giovane Ferreira

Research paper thumbnail of Educação Financeira Para O Sexto Ano Da Escola Professora Vitória Silva Barros No Município De Governador Nunes Freire

Multidebates, Nov 17, 2020

Resumo: Este artigo é parte de uma pesquisa de trabalho de conclusão de curso e objetiva analisar... more Resumo: Este artigo é parte de uma pesquisa de trabalho de conclusão de curso e objetiva analisar a relevância de desenvolver no âmbito da Educação Básica no Ensino Fundamental através da disciplina de Matemática temas transversais contemporâneo inerentes à educação financeira com ênfase nas habilidades, aprendizagens, competências, conteúdos e unidades temáticas da Base Nacional Curricular Comum que podem ser relacionados com o conhecimento financeiro. A pesquisa campo foi realizada no ano de 2019 em escola púbica de ensino fundamental do município Gov. Nunes Freire com alunos do 6º ano do Ensino Fundamental e seus pais. A Matemática no Ensino Fundamental e o conhecimento que esta propicia são fundamentais para o desenvolvimento cognitivo tais como: raciocinar, planejar, interpretar e solucionar problemas e estes auxiliam na construção da cidadania do ser humano no desenvolvimento de suas potencialidades. Autores como Carvalho (2014), Chaves (2016), Bezerra (2014); Oliveira (2015) e Rosa (2015) foram importantes nas discussões sobre Educação Financeira no Ensino Fundamental. Com os resultados podemos constatar como a educação financeira constitui uma ferramenta capaz de fornecer conhecimento e informação sobre comportamentos básicos para uma melhor qualidade de vida financeira e de vida de pessoas e comunidades. Palavras-chave: educação financeira, ensino de matemática, ensino fundamental.

Research paper thumbnail of Volume lemmas for partially hyperbolic endomorphisms and applications

We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant... more We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. We prove volume lemmas for both Lebesgue measure on the topological basin of the attractor and the SRB measure supported on the this http URL a consequence under a mild assumption we prove exponential large deviation bounds for the convergence of Birkhoff averages associated to continuous observables with respect to the SRB measure.

Research paper thumbnail of Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions

The celebrated Oseledets theorem \cite{O}, building over seminal works of Furstenberg and Kesten ... more The celebrated Oseledets theorem \cite{O}, building over seminal works of Furstenberg and Kesten on random products of matrices and random variables taking values on non-compact semisimple Lie groups \cite{FK,Furstenberg}, ensures that the Lyapunov exponents of mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR)-cocycles (dgeqslant2)(d\geqslant 2)(dgeqslant2) over the shift are well defined for all points in a total probability set, ie, a full measure subset for all invariant probabilities. Given a locally constant mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR)-valued cocycle we are interested both in the set of points on the shift space for which some Lyapunov exponent is not well defined, and in the set of directions on the projective space mathbfPmathbbRd\mathbf P \mathbb R^dmathbfPmathbbRd along which there exists no well defined exponential growth rate of vectors for a certain product of matrices. We prove that if the semigroup generated by finitely many matrices in mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR) is not compact and is strongly projectively accessible then there exists a dens...

Research paper thumbnail of O Uso Das Tecnologias Digitais No Ensino De Matemática Para Alunos Da Educação Infantil

O objetivo desta pesquisa e apresentar um estudo sobre o uso das Tecnologias de Informacao e Comu... more O objetivo desta pesquisa e apresentar um estudo sobre o uso das Tecnologias de Informacao e Comunicacao – TIC’s no Ensino Infantil em escola publica do municipio de Governador Nunes Freire - MA. Aponta-se para a importância de insercao das TIC’s no ensino de Matematica como forma de auxilio para os professores na transmissao do conhecimento matematico e uma melhor forma de compreensao deste conhecimento por parte dos alunos. Analisou-se ainda a importância do ensino de Matematica atraves das TIC’s ja nas primeiras etapas do Ensino Infantil que tem como objetivo o desenvolvimento integral da crianca, constituindo-se a base fundamental do processo educacional. O procedimento metodologico foi de carater exploratorio, com pesquisa bibliografica, sendo realizada na Escola de Educacao Infantil Creche Municipal Pintando o Sete. O publico alvo da pesquisa foram os professores do Jardim II.

Research paper thumbnail of Sequential Gibbs Measures and Factor Maps

Journal of Statistical Physics, 2018

We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs m... more We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs measures and recent examples from the study of non-uniform hyperbolic dynamics. Extending previous results of Kempton-Pollicott [7] and Ugalde-Chazottes [2], we show that the images of one block factor maps of a sequential Gibbs measure are also a sequential Gibbs measure, with the same sequence of Gibbs times. We obtain some estimates on the regularity of the potential of the image measure at almost every point.

Research paper thumbnail of The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials

Nonlinear Analysis: Theory, Methods & Applications, 2011

Let (X, d, f) be a dynamical system, where (X, d) is a compact metric space and f : X → X is a co... more Let (X, d, f) be a dynamical system, where (X, d) is a compact metric space and f : X → X is a continuous map. Using the concepts of g-almost product property and uniform separation property introduced by Pfister and Sullivan in [22], we give a variational principle for certain non-compact with relation the asymptotically additive topological pressure. We also study the set of points that are irregular for an collection finite or infinite of asymptotically additive sequences and we show that carried the full asymptotically additive topological pressure. These results are suitable for systems such as mixing shifts of finite type, β-shifts, repellers and uniformly hyperbolic diffeomorphisms.

Research paper thumbnail of Volume lemmas and large deviations for partially hyperbolic endomorphisms

Ergodic Theory and Dynamical Systems

We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant... more We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. We prove volume lemmas for both Lebesgue measure on the topological basin of the attractor and the SRB measure supported on the attractor. As a consequence, under a mild assumption we prove exponential large-deviation bounds for the convergence of Birkhoff averages associated to continuous observables with respect to the SRB measure.

Research paper thumbnail of Educação Financeira Para O Sexto Ano Da Escola Professora Vitória Silva Barros No Município De Governador Nunes Freire

Multidebates, Nov 17, 2020

Resumo: Este artigo é parte de uma pesquisa de trabalho de conclusão de curso e objetiva analisar... more Resumo: Este artigo é parte de uma pesquisa de trabalho de conclusão de curso e objetiva analisar a relevância de desenvolver no âmbito da Educação Básica no Ensino Fundamental através da disciplina de Matemática temas transversais contemporâneo inerentes à educação financeira com ênfase nas habilidades, aprendizagens, competências, conteúdos e unidades temáticas da Base Nacional Curricular Comum que podem ser relacionados com o conhecimento financeiro. A pesquisa campo foi realizada no ano de 2019 em escola púbica de ensino fundamental do município Gov. Nunes Freire com alunos do 6º ano do Ensino Fundamental e seus pais. A Matemática no Ensino Fundamental e o conhecimento que esta propicia são fundamentais para o desenvolvimento cognitivo tais como: raciocinar, planejar, interpretar e solucionar problemas e estes auxiliam na construção da cidadania do ser humano no desenvolvimento de suas potencialidades. Autores como Carvalho (2014), Chaves (2016), Bezerra (2014); Oliveira (2015) e Rosa (2015) foram importantes nas discussões sobre Educação Financeira no Ensino Fundamental. Com os resultados podemos constatar como a educação financeira constitui uma ferramenta capaz de fornecer conhecimento e informação sobre comportamentos básicos para uma melhor qualidade de vida financeira e de vida de pessoas e comunidades. Palavras-chave: educação financeira, ensino de matemática, ensino fundamental.

Research paper thumbnail of Volume lemmas for partially hyperbolic endomorphisms and applications

We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant... more We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. We prove volume lemmas for both Lebesgue measure on the topological basin of the attractor and the SRB measure supported on the this http URL a consequence under a mild assumption we prove exponential large deviation bounds for the convergence of Birkhoff averages associated to continuous observables with respect to the SRB measure.

Research paper thumbnail of Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions

The celebrated Oseledets theorem \cite{O}, building over seminal works of Furstenberg and Kesten ... more The celebrated Oseledets theorem \cite{O}, building over seminal works of Furstenberg and Kesten on random products of matrices and random variables taking values on non-compact semisimple Lie groups \cite{FK,Furstenberg}, ensures that the Lyapunov exponents of mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR)-cocycles (dgeqslant2)(d\geqslant 2)(dgeqslant2) over the shift are well defined for all points in a total probability set, ie, a full measure subset for all invariant probabilities. Given a locally constant mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR)-valued cocycle we are interested both in the set of points on the shift space for which some Lyapunov exponent is not well defined, and in the set of directions on the projective space mathbfPmathbbRd\mathbf P \mathbb R^dmathbfPmathbbRd along which there exists no well defined exponential growth rate of vectors for a certain product of matrices. We prove that if the semigroup generated by finitely many matrices in mathrmSL(d,mathbbR)\mathrm{SL}(d,\mathbb R)mathrmSL(d,mathbbR) is not compact and is strongly projectively accessible then there exists a dens...

Research paper thumbnail of O Uso Das Tecnologias Digitais No Ensino De Matemática Para Alunos Da Educação Infantil

O objetivo desta pesquisa e apresentar um estudo sobre o uso das Tecnologias de Informacao e Comu... more O objetivo desta pesquisa e apresentar um estudo sobre o uso das Tecnologias de Informacao e Comunicacao – TIC’s no Ensino Infantil em escola publica do municipio de Governador Nunes Freire - MA. Aponta-se para a importância de insercao das TIC’s no ensino de Matematica como forma de auxilio para os professores na transmissao do conhecimento matematico e uma melhor forma de compreensao deste conhecimento por parte dos alunos. Analisou-se ainda a importância do ensino de Matematica atraves das TIC’s ja nas primeiras etapas do Ensino Infantil que tem como objetivo o desenvolvimento integral da crianca, constituindo-se a base fundamental do processo educacional. O procedimento metodologico foi de carater exploratorio, com pesquisa bibliografica, sendo realizada na Escola de Educacao Infantil Creche Municipal Pintando o Sete. O publico alvo da pesquisa foram os professores do Jardim II.

Research paper thumbnail of Sequential Gibbs Measures and Factor Maps

Journal of Statistical Physics, 2018

We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs m... more We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs measures and recent examples from the study of non-uniform hyperbolic dynamics. Extending previous results of Kempton-Pollicott [7] and Ugalde-Chazottes [2], we show that the images of one block factor maps of a sequential Gibbs measure are also a sequential Gibbs measure, with the same sequence of Gibbs times. We obtain some estimates on the regularity of the potential of the image measure at almost every point.

Research paper thumbnail of The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials

Nonlinear Analysis: Theory, Methods & Applications, 2011

Let (X, d, f) be a dynamical system, where (X, d) is a compact metric space and f : X → X is a co... more Let (X, d, f) be a dynamical system, where (X, d) is a compact metric space and f : X → X is a continuous map. Using the concepts of g-almost product property and uniform separation property introduced by Pfister and Sullivan in [22], we give a variational principle for certain non-compact with relation the asymptotically additive topological pressure. We also study the set of points that are irregular for an collection finite or infinite of asymptotically additive sequences and we show that carried the full asymptotically additive topological pressure. These results are suitable for systems such as mixing shifts of finite type, β-shifts, repellers and uniformly hyperbolic diffeomorphisms.

Research paper thumbnail of Volume lemmas and large deviations for partially hyperbolic endomorphisms

Ergodic Theory and Dynamical Systems

We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant... more We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. We prove volume lemmas for both Lebesgue measure on the topological basin of the attractor and the SRB measure supported on the attractor. As a consequence, under a mild assumption we prove exponential large-deviation bounds for the convergence of Birkhoff averages associated to continuous observables with respect to the SRB measure.