Programa de Doctorat en Matemàtica Aplicada: Recent submissions
Now showing items 101-120 of 200
Ecuaciones en diferencias lineales de segundo orden y su aplicación al análisis matricial
It is well known the important role that difference equations play in several problems of the engineering or of the science. However, whereas the expression of the solutions when the coefficients of the equations are ...
Estudi de l'evolució i el tractament del càncer des d'una perspectiva de la biologia de sistemes
Cancer can be defined as a family of complex disease characterized by a cellular hyperproliferation and the capacity of the cell to invade surrounding tissue and metastasize to other organs in the body. The development and ...
Aportaciones al estudio de los sistemas electorales
An important question that modern societies have to decide is the election of some people who represent them and can also make some decisions. Mechanisms to do it are called Electoral Systems. In fact, there are a lot of ...
Random combinatorial structures with low dependencies : existence and enumeration
En aquesta tesi s'estudien diferents problemes en el camp de la combinatòria i la teoria de grafs, utilitzant el mètode probabilístic. Aquesta tècnica, introduïda per Erdős , ha esdevingut una eina molt potent per tal de ...
On the consistency of hysteresis models
Hysteresis is a nonlinear behavior encountered in a wide variety of processes including biology, optics, electronics, ferroelectricity, magnetism, mechanics, structures, among other areas. One of the main features of ...
Contribucions a la teoria de l'aresta-acoloriment de grafs : snarks i multipols
A graph where every vertex has three neighboring vertices is a cubic graph. An edge-coloring is an assignment of colors to the edges of a graph in such a way that the edges incident to a vertex have no repeated colors. An ...
Singular phenomena in the length spectrum of analytic convex curves
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0<p<q relatively prime integers, there exist at least two (p,q)-periodic trajectories inside Q. The main goal of this thesis ...
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 ...
Propagació d'informació en grafs i digrafs que modelen xarxes d'interconnexió simètriques
L'objectiu d'aquesta tesi és aprofondir en l'estudi d'una certa família de dígrafs, els dígrafs de prefix-cicle, donant nous detalls sobre la seva estructura, noves maneres d'enfocar el seu estudi, i dissenyant bons esquemes ...
Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony
The main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting of invariant manifolds ...
Engineering patterns of wrinkles and bubbles in supported graphene through modeling and simulation
Graphene deposited on a substrate often exhibits out-of-plane deformations with different features and origins. Networks of localized wrinkles have been observed in graphene synthesized through CVD, as a result of compressive ...
Subespacios hiperinvariantes y característicos : una aproximación geométrica
The aim of this thesis is to study the hyperinvariant and characteristic subspaces of a matrix, or equivalently, of an endomorphism of a finite dimensional vector space. We restrict ourselves to the case of matrices A with ...
Machine learning in multiscale modeling and simulations of molecular systems
Collective variables (CVs) are low-dimensional representations of the state of a complex system, which help us rationalize molecular conformations and sample free energy landscapes with molecular dynamics simulations. ...
Application of dynamical system methods to galactic dynamics : from warps to double bars
Most galaxies have a warped shape when they are seen from an edge-on point of view. In this work we apply dynamical system methods to find an explanation of this phenomenon that agrees with its abundance among galaxies, ...
Diffusion through non-transverse heteroclinic chains : a long-time instability for the NLS
En l'article [CKSTT] els autors proven una inestabilitat global per a l'equació de Schrödinger cúbica desenfocant en el tor 2-dimensional. Per aconseguir-ho, detecten un sistema finit d'equacions diferencials ordinàries, ...
A cotangent bundle Hamiltonian tube theorem and its applications in reduction theory
The Marle-Guillemin-Sternberg (MGS) model is an extremely important tool for the theory of Hamiltonian actions on symplectic manifolds. It has been extensively used to prove many local results both in symplectic geometry ...
Estimación bayesiana de cópulas extremales en procesos de Poisson
The estimation of occurrence probabilities of extremal quantities is essential in the study of hazards associated with natural phenomena. The extremal quantities of interest usually correspond to phenomena characterized ...
Matroids : h-vectors, zonotopes, and Lawrence polytopes
The main objects of study in this thesis are matroids. In particular we are interested in three particular classes matroids: regular matroids, arithmetic matroids, and internally perfect matroids. Of these families, regular ...
Evolutionary dynamics of populations with genotype-phenotype map
In this thesis we develop a multi-scale model of the evolutionary dynamics of a population of cells, which accounts for the mapping between genotype and phenotype as determined by a model of the gene regulatory network. ...
Rational points on Shimura curves and Galois representations
This thesis explores one of the essential arithmetical and diophantine properties of Shimura curves and their Atkin-Lehner quotients: the existence of rational points on these families of curves over both number fields and ...
