Facultat de Matemàtiques i Estadística: Recent submissions
Now showing items 41-60 of 116
Arithmetic applications of the Euler systems of Beilinson-Flach elements and diagonal cycles
The main objective of this dissertation is the exploration of certain arithmetic applications of the Euler systems of Beilinson--Flach elements and diagonal cycles. Euler systems have been proved to be a very powerful tool ...
Active superelasticity in three-dimensional epithelia of controlled shape
Fundamental processes in development and physiology are determined by the three-dimensional architecture of epithelial sheets. How these sheets deform and fold into complex structures has remained unclear, however, because ...
New geometrical and dynamical techniques for problems in celestial mechanics
In this thesis, we study the application of symplectic geometry, regular and singular, to symplectic dynamical systems.We start with a motivating case: the relation between symplectic foliations and global transverse ...
bm-Symplectic manifolds: symmetries, classification and stability
This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic away from a ...
Development of a Large-Eddy simulation framework for engineering applications using the finite element method
This thesis develops a large eddy simulation framework for engineering applications using the finite element method. It focuses on the numerical formulation, the wall modelling approach as well as the generation of turbulent ...
Desarrollo de un sistema de monitorización de la integridad estructural para aplicaciones en ingeniería mediante técnicas de reducción de la dimensionalidad
This thesis describes a structural health monitoring (SHM) strategy to detect and classify changes in structures that can be equipped with sensors. SHM is an area of great interest, because its main objective is to verify ...
Estudio y caracterización de soluciones para juegos cooperativos y bicooperativos
The first part of this thesis focuses on cooperative games and specifically on the study of semivalues and probabilistic values. Each semivalue, as a solution concept defined on cooperative games with a finite set of ...
Global Hamiltonian dynamics on singular symplectic manifolds
In this thesis, we study the Reeb and Hamiltonian dynamics on singular symplectic and contact manifolds. Those structures are motivated by singularities coming from classical mechanics and fluid dynamics. We start by ...
Locally adaptive phase-field models and transition to fracture
This thesis proposes a new computational model for the efficient simulation of crack propagation, through the combination of a phase-field model in small subdomains around crack tips and a discontinuous model in the rest ...
(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 ...
Diffusion processes and nanoparticle growth
Es conocido que muchas propiedades de las nanopartículas, como la luminiscencia, la fotoestabilidad, la eficiencia de la radiación óptica y las propiedades eléctricas, dependen del tamaño. Por lo tanto, la capacidad de ...
Additive structures and randomness in combinatorics
Arithmetic Combinatorics, Combinatorial Number Theory, Structural Additive Theory and Additive Number Theory are just some of the terms used to describe the vast field that sits at the intersection of Number Theory and ...
Generalized Delaunay triangulations : graph-theoretic properties and algorithms
This thesis studies different generalizations of Delaunay triangulations, both from a combinatorial and algorithmic point of view. The Delaunay triangulation of a point set S, denoted DT(S), has vertex set S. An edge uv ...
Bernstein-Sato polynomial of plane curves and Yano's conjecture
The main aim of this thesis is the study of the Bernstein-Sato polynomial of plane curve singularities. In this context, we prove a conjecture posed by Yano about the generic b-exponents of a plane irreducible curve. In ...
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 ...
Estimates and rigidity for stable solutions to some nonlinear elliptic problems
My thesis deals with the study of elliptic PDE. It is divided into two parts, the first one concerning a nonlinear equation involving the p-Laplacian, and the second one focused on a nonlocal problem. In the first part, ...
Product of digraphs, (super) edge-magic valences and related problems
Discrete Mathematics, and in particular Graph Theory, has gained a lot of popularity during the last 7 decades. Among the many branches in Graph Theory, graph labelings has experimented a fast development, in particular ...
Non-classical thermal transport and phase change at the nanoscale
For 200 years, Fourier’s law has been used to describe heat transfer with excellent results. However, as technology advances, more and more situations arise where heat conduction is not well described by the classical ...
Stable solutions of nonlinear fractional elliptic problems
This thesis is devoted to study integro-differential equations. This type of equations constitutes nowadays a very active field of research which has important applications in modeling real-life phenomena where nonlocal ...
Stratification theory of matrix pairs under equivalence and contragredient equivalence
We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an ...
