Programa de Doctorat en Matemàtica Aplicada: Recent submissions
Now showing items 81-100 of 193
A theoretical and computational study of the mechanics of biomembranes at multiple scales
Lipid membranes are thin objects that form the main separation structure in cells. They have remarkable mechanical properties; while behaving as a solid shell against bending, they exhibit in-plane fluidity. These two ...
Completion and decomposition of hypergraphs by domination hypergraphs
A graph consists of a finite non-empty set of vertices and a set of unordered pairs of vertices, called edges. A dominating set of a graph is a set of vertices D such that every vertex not in D is adjacent to some vertex ...
Advanced cryptographic techniques for building verifiable and transparent electronic voting protocols
Electronic voting presents many challenges due to its multiple security requirements. Some of the challenges are related to guaranteeing voters' privacy and system's transparency, which are hard to satisfy simultaneously. ...
Integrable systems on b-symplectic manifolds
The study of b-symplectic manifolds was initiated in 2012 by the works of Victor Guillemin, Eva Miranda and Ana Rita Pires (Adv. Math. 264 (2014), 864¿896). These manifolds, which can be understood as symplectic manifolds ...
Graph enumeration and random graphs
In this thesis we use analytic combinatorics to deal with two related problems: graph enumeration and random graphs from constrained classes of graphs. We are interested in drawing a general picture of some graph families ...
On the fractional Yamabe problem with isolated singularities and related issues
My research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some of the classical local ...
Stark-Heegner points and p-adic L-functions
Let K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant ...
Multiplier ideals in two-dimensional local rings with rational singularities
The aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ...
Descent in Lawson homology and morphic cohomology
The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However, in the beginnings of the 90's, Blaine Lawson and Eric Friedlander developed a different way to study algebraic cycles on ...
Monotonicity preserving shock capturing techniques for finite elements
The main object of study of this thesis is the development of artificial diffusion shock capturing techniques for continuous and discontinuous Galerkin (cG and dG) approximations of the convection-diffusion problem. Special ...
On iterative methods to solve nonlinear equations
Many of the problems in experimental sciences and other disciplines can be expressed in the form of nonlinear equations. The solution of these equations is rarely obtained in closed form. With the development of computers, ...
The variational approach to brittle fracture in materials with anisotropic surface energy and in thin sheets
Fracture mechanics of brittle materials has focused on bulk materials with isotropic surface energy. In this situation different physical principles for crack path selection are very similar or even equivalent. The situation ...
Rheological models for tissue relaxation and fluidisation
We present a cell-centred model for the simulation of multicellular soft tissues that takes into account the underlying active process at the cytoskeletal level, and allows for active and passive cell-cell reorganisation ...
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 ...
