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Symmetric and non-symmetric Jack Functions
(Universidade Federal de São Carlos, 2020-05-29)
The goal of this dissertation is to present the theory of Jack functions from the standpoint of algebraic combinatorics. The presentation of symmetric functions is largely centred on the first chapter of MacDonald's ...
Movimento de interface para duas equações de reação-difusão
(Universidade Federal de São Carlos, 2007-02-26)
In this work, following [15], we will use the technique of matched asymptotic
expansions to study the movement of interface for the solutions of an advection-reaction-
difuusion equations and the equation of reaction-difusion ...
O conceito de n-varifold e EDP
(Universidade Federal de São Carlos, 2006-03-03)
The goal of this work is the detailed study of some topics of Geometric Measure Theory, giving special attention to the n-varifold concept and illustrating its use in the asymptotic behavior of critical points of the energy ...
Leis de conservacão escalar: fórmula explícita e unicidade
(Universidade Federal de São Carlos, 2011-03-23)
We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...
Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento
(Universidade Federal de São Carlos, 2014-03-21)
In this work we approach the nonrelativistic quantum mechanics from the point of view of mathematical physics; we present estimates of some dynamical quantities that are used to describe the return probability to the initial ...
Os sistemas completos de desigualdades propostos por Santaló
(Universidade Federal de São Carlos, 2007-03-20)
In 1961, Santaló[21] suggested that, considering the family of the convex bodies in
R2, it was found a complete system of inequalities for each pair and each triple of the
functions area, perimeter, diameter, inradius, ...
Construção de espaços classificantes
(Universidade Federal de São Carlos, 2004-02-27)
In this work we present a construction of classifying spaces for principal bundles by studying simplicial and co-simplicial objects over a category and as application we present the construction of Eilenberg-MacLane ...
Operadores de Calderón-Zygmund e o Teorema T(1)
(Universidade Federal de São Carlos, 2021-05-26)
The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...
Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2020-12-03)
Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F.
The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...
Sobre fibrados e poliedros de dimensão finita
(Universidade Federal de São Carlos, 2021-02-01)
The objective of this work is to establish the existence of universal bundles and to relate this existence to finite dimension polyhedra. As a consequence, we present examples of universal bundles for the case of classic groups.