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Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São Carlos, 2020-03-06)
We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...
Espaços de Hardy radial
(Universidade Federal de São Carlos, 2020-02-06)
One presents in this work an atomic decomposition via radial atoms for distributions on subspace $\mathcal{H}^{p}_{rad}(\mathds{R}^{n})$ for $0 < p\leqslant 1$, of Hardy radial spaces $H_{rad}^{p}(\mathds{R}^{n}) \doteq ...
Boa postura analítica e Gevrey da “boa” equação de Boussinesq
(Universidade Federal de São Carlos, 2021-03-11)
In both the line and the circle, we shall to prove that the Cauchy problem for the ``good'' Boussinesq equation is locally well-posed in a class of Gevrey functions, which includes a class of analytic functions that can ...
On the existence of free actions of the groups Z_2, S^1 and S^3 on some finitistic spaces and cohomology of orbit spaces
(Universidade Federal de São Carlos, 2021-12-16)
Let G be a compact Lie group and X be a finitistic space. If G acts continuously on X, we can construct the fibration
X \hookrightarrow X_{G} \arrow & B_{G}, (1)
called Borel fibration, where G\hookrightarrow ...
Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3
(Universidade Federal de São Carlos, 2020-11-30)
Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...
A álgebra graduada associada a uma valorização
(Universidade Federal de São Carlos, 2021-11-30)
We begin this work with a study of the graded algebra associated to a valuation $\nu: K \longrightarrow \Gamma_{\infty}$. We verify that in the cases where the value group is free or the residue field is closed by radicals, ...