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Some topics on finite p-groups and pro-p groups
(2020-10-21)
This thesis consists of three parts, each of them devoted to different aspects of the theory of finite p-groups and pro-p groups. The first part is concerned with the study of the following problem: under which conditions ...
Generalized Poincaré-Sobolev inequalities
(2020-12-15)
Las desigualdades de Poincaré-Sobolev son herramientas muy potentes en análisis matemático que han sido ampliamente utilizadas para el estudio de ecuaciones diferenciales y su validez está íntimamente relacionada con la ...
The Schrödinger Equaton and Uncertainty Principles
(2020-09-02)
The main task of this thesis is the analysis of the initial data u0 of Schrödinger’s initial value problem in order to determine certain properties of its dynamical evolution. First, we consider the elliptic Schrödinger ...
A geometric and physical study of Riemann's non-diferentiable function.
(2020-07-08)
Riemann's non-differentiable function is a classic example of a continuous but almost nowheredifferentiable function, whose analytic regularity has been widely studied since it was proposedin the second half of the 19th ...
Finite element simulations: computations and applications to aerodynamics and biomedicine.
(2020-12-11)
Las ecuaciones en derivadas parciales describen muchos fenómenos de interés práctico y sus solucionessuelen necesitar correr simulaciones muy costosas en clústers de cálculo.En el ámbito de los flujos turbulentos, en ...
The random diffusivity approach for diffusion in heterogeneous systems.
(2020-12-16)
The two hallmark features of Brownian motion are the linear growth of the meansquared displacement (MSD) with diffusion coefficient D in d spatial dimensions, andthe Gaussian distribution of displacements. With the increasing ...
Pseudospectral Methods for the Fractional Laplacian on R
(2020-07-02)
In this thesis, first, we propose a novel pseudospectral method to approximate accurately and efficiently the fractional Laplacian without using truncation. More precisely, given a bounded regular function defined over R, ...
Structural properties of hierarchically hyperbolic groups
(2020-11-12)
Los temas de esta tesis se enmarcan en el área de la teoría geométrica de grupos, que es el estudio de grupos finitamente generados a través de la exploración de sus aspectos geométricos y topológicos. Más precisamente, ...
Topics in Harmonic Analysis; commutators and directional singular integrals.
(2020-03-26)
La tesis presentada viene dividida en dos partes: la primer parte está dedicada al estudio de losconmutadores y la segunda a los operadores maximales direccionales. Dentro de la teoría de losconmutadores nos enfocamos en ...