Browsing Departament de Matemàtica Aplicada i Anàlisi by titles

Mesura del trencament de separatrius en famílies de difeomorfismes amb punts hiperbòlics

Fontich Julià, Ernest

Se consideran familias de difeomorfismos con un punto fijo parabólico para el valor cero del parámetro y un punto fijo hiperbólico para valores mayores que cero que tengan en este caso puntos homoclínicos asociados a ...

Mesures i probabilitats en estructures ordenades

Congost Iglesias, Maria Assumpta

En una primera part s'estudien els conjunts de mesures que prenen valors en un grup reticualt, per a les quals la T-aditivitat es defineix a partir de l'estructura ordenada. L'estudi realitzat a partir de les propietats ...

Morfismos diferenciables topológicamente lisos. Caracterizaciones y aplicaciones

Ortega Aramburu, Joaquín Mª

Esta memoria recoge algunos de los puntos fundamentales e inéditos que han aparecido al iniciar un estudio sobre los métodos espectrales en Análisis y, en particular, sobre los anillos y estructuras diferenciables. Dicho ...

On a Family of Degree 4 Blaschke Products

Canela Sánchez, Jordi (Date of defense: 18-03-2015)

This PhD thesis belongs to the area of discrete dynamical systems in the complex plane, i.e. the iteration of analytic functions in one complex variable. Given a rational map f from the Riemann sphere onto itself, we ...

On Quasiperiodic Perturbations of Ordinary Differential Equations

Jorba i Monte, Àngel

In this work we study several topics concerning quasi-periodic time-dependent perturbations of ordinary differential equations. This kind of equations appear as models in many applied problems of Celestial Mechanics, and ...

On the Meromorphic Non-Integrability of Some Problems in Celestial Mechanics

Simon i Estrada, Sergi

In this thesis, we present a proof of the meromorphic non-integrability for some problems arising from Celestial Mechanics, as well as a new necessary condition for partial integrability in a wider Hamiltonian setting. ...

Optimal Sobolev Embeddings in Spaces with Mixed Norm

Clavero, Nadia F. (Date of defense: 20-03-2015)

Este proyecto hace referencia a estimaciones, en espacios funcionales, que relacionan la norma de una función y la de sus derivadas. Concretamente, nuestro principal objetivo es estudiar las estimaciones clásicas de las ...

Por qué la difusión de Arnold aparece genéricamente en los sistemas hamiltonianos con más de dos grados de libertad.

Delshams, Amadeu

El teorema de Kolmogorov-Arnold-Moser no asegura la estabilidad cerca de los toros m-dimensionales que se conservan para hamiltonianos casi integrables con "m" grados de libertad. Puede aparecer una difusión de trayectorias ...

Qualitative analysis of the anisotropic Kepler problem

Casasayas i Mas, Josefa

The anisotropic Kepler problem was introduced by Gutzwiller as a classical mechanical system which approximates the following quantum mechanical system: the study of bound states of an electron near a donor impurity of a ...

Random zero sets of analytic functions and traces of functions in Fock spaces

Buckley, Jeremiah (Date of defense: 06-06-2013)

Interpolating and sampling sequences in spaces of functions are classical subjects in complex and harmonic analysis. A sequence of points is said to be interpolating if, given any collection of values, we can find a function ...

Real analysis in non-euclidean spaces: trees and spaces of homogeneous type

Garcia Domingo, Josep Lluís

DE LA TESIS:El contenido de esta tesis se enmarca dentro del Análisis Real. En particular, trata del estudio de ciertos problemas de la teoría de pesos, (una referencia clásica sobre esta teoría es el libro de J. García-Cuerva ...

Sequential image analysis for computer-aided wireless endoscopy

Drozdzal, Michal (Date of defense: 16-05-2014)

Wireless Capsule Endoscopy (WCE) is a technique for inner-visualization of the entire small intestine and, thus, offers an interesting perspective on intestinal motility. The two major drawbacks of this technique are: 1) ...

Spaces of bandlimited functions on compact manifolds

Pridhnani, Bharti (Date of defense: 09-09-2011)

This monograph is structured in four chapters. In Chapter 1, we present the context of our problem and the main results proved in this work. We describe the asymptotic behaviour of the reproducing kernel and the ...

Stochastic modelling of cellular populations: Effects of latency and feedback

Sánchez Taltavull, Daniel (Date of defense: 12-12-2014)

L'objectiu principal d'aquesta tesi doctoral és l'estudi de l'efecte de les fluctuacions en poblacions acoblades en sistemes biològics, on cèl·lules en estat latent juguen un paper important. Intentant trobar el significat ...

The Primitive Function of an Exact Symplectomorphism. Variational principles, Converse KAM Theory and the problems of determination and interpolation

Haro, Àlex

We have divided this thesis in four parts:a) PART I: Exact symplectic geometry (introduction of the problems). This part contains the basic tools of symplectic geometry and outlines the four subjects that we have study ...

The Role and Usage of Libration Point Orbits in the Earth - Moon System

Alessi, Elisa Maria

In this dissertation, we show the effectiveness of the exploitation of the Circular Restricted Three - Body Problem (CR3BP) in the Earth - Moon framework. We study the motion of a massless particle under the gravitational ...

Transference theory between quasi-Banach function spaces with applications to the restriction of Fourier multipliers.

Rodríguez López, Salvador

In the early 1970 fs, R. Coifman and G. Weiss, generalizing the techniques introduced by A. Calderon, developed a method for transferring abstract convolution type operators, defined on general topological groups, and their ...

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