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(1, ≤ ℓ)-identifying codes in digraphs and graphs
The main subject of this PhD thesis is the study of (1,=l)-identifying codes in digraphs. The results presented in this work are divided into three parts. The first one focusses on the structural properties of digraphs ...
3D simulation of magneto-mechanical coupling in MRI scanners using high order FEM and POD
Magnetic Resonance Imaging (MRI) scanners have become an essential tool in the medical industry due to their ability to produce high resolution images of the human body. To generate an image of the body, MRI scanners combine ...
A contribution to the theory of convolutional codes from systems theory piont of view
Information is such a valuable good of our time. Given that the transmission of information has always been subject to precision problems, knowing the obstacles existing between the transmitter and the receiver, eventual ...
A geometric study of abnormality in optimal control problems for control and mechanical control systems
Durant els darrers quaranta anys la geometria diferencial ha estat una eina fonamental per entendre la teoria de control òptim. Habitualment la millor estratègia per resoldre un problema és transformar-lo en un altre ...
Acerca del género virtual de las superficies algebraicas
DE LA TESIS:<br/><br/>El problema objeto de esta memoria tiene su origen en la clásica formula del género para curvas algebraicas planas. Dicha formula expresa el género (efectivo) de una curva algebraica plana en función ...
Adaptive low and high-order hybridized methods for unsteady incompressible flow simulations
Simulations of incompressible flows are performed on a daily basis to solve problems of practical and industrial interest in several fields of engineering, including automotive, aeronautical, mechanical and biomedical ...
Advanced numerical techniques for inverse problems in geophysics
This thesis presents an efficient methodology to couple Model Order Reduction techniques within the framework of geophysical probabilistic inversion problems. Accurate models of the interaction between Earth inner processes ...
Advanced physics-based and data-driven strategies
Simulation Based Engineering Science (SBES) has brought major improvements in optimization, control and inverse analysis, all leading to a deeper understanding in many processes occuring in the real world. These noticeable ...
Algebraic and algorithmic aspects of Zm × Fn : fixed subgroups and quantification of inertia
This work is based on the family of groups Z^m x F_n, namely free-abelian times free groups, direct products of finitely many copies of Z and a finitely generated free group F_n. These are a special type of right-angled ...
Algebraic integrability of foliations by extension to Hirzebruch surfaces. Applications to bounded negativity.
We make progress on two open mathematical problems: the problem of algebraic integrability of polynomial foliations on $\mathbb{C}^2$ and the bounded negativity conjecture. For the first one, we identify $\mathbb{C}^2$ ...
Algebraic model theory for languages without equality
In our opinion, it is fair to distinguish two separate branches in the origins of model theory. The first one, the model theory of first-order logic, can be traced back to the pioneering work of L. Lowenheim, T. Skolem, ...
Algebraic tools in phylogenomics.
En aquesta tesi interdisciplinar desenvolupem eines algebraiques per a problemes en filogenètica i genòmica. Per estudiar l'evolució molecular de les espècies sovint s'usen models evolutius estocàstics. L'evolució es ...
Algorithms for l-sections on genus two curves over finite fields and applications
We study \ell-section algorithms for Jacobian of genus two over finite fields. We provide trisection (division by \ell=3) algorithms for Jacobians of genus 2 curves over finite fields \F_q of odd and even characteristic. ...
Algunos resultados sobre cohomología de las variedades kählerianas
En esta tesis doctoral se desarrollan diferentes propuestas sobre la cohomología de las variedades kählerianas, tomando como origen una variedad kähleriana “W” compacta y de dimensión compleja “n”. La tesis comienza con ...
Alguns punts d'àlgebra homotòpica
L'any 1967, D. Quillen introduí la noció de categoria de models, estructura adaptada a l'estudi de l'àlgebra homotòpica. Una estruc¬tura de categoria de models en una categoria donada consisteix en l'elecció de tres classes ...
An effective method to study the Hopf-Galois module structure of certain extensions of fields
We develop a method to compute a basis of the associated order in a Hopf Galois structure H of the ring of integers O_L of an extension of number or p-adic fields L/K. We state and prove a necessary and sufficient condition ...
Aplicaciones de la teoría de grafos al diseño de redes de interconexión de multiprocesadores
En este trabajo se estudia, mediante la Teoría de Grafos, el diseño de redes de interconexión para sistemas distribuidos. Los principales temas tratados son: 1. Se propone una metodología general para la obtención de redes ...
Aportaciones al estudio de soluciones para juegos cooperativos
El objetivo del trabajo consiste en la generalización y el estudio de modelos y métodos que han mostrado su eficiencia respecto a las soluciones para los juegos cooperativos propuestas por Shapley o por Banzhaf, así como ...
Aproximaciones sucesivas de las soluciones de ecuaciones en derivadas parciales de 3r orden
El presente trabajo tuvo su origen durante el transcurso de los estudios monográficos de Doctorado, correspondientes al curso académico 1952-1953 de la Sección de Matemáticas, en que nos fue propuesta en la Asignatura de ...
