Programa de Doctorat en Matemàtica Aplicada: Recent submissions
Now showing items 121-140 of 194
Global instability in the elliptic restricted three body problem
The goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase space for certain ...
Propagation in reaction-diffusion equations with fractional diffusion
This thesis focuses on the long time behaviour of solutions to Fisher-KPP reaction-diffusion equations involving fractional diffusion. This type of equation arises, for example, in spatial propagation or spreading of ...
The inverse problem on finite networks
The aim of this thesis is to contribute to the field of discrete boundary value problems on finite networks. Boundary value problems have been considered both on the continuum and on the discrete fields. Despite working ...
Validation and generation of curved meshes for high-order unstructured methods
In this thesis, a new framework to validate and generate curved high-order meshes for complex models is proposed. The main application of the proposed framework is to generate curved meshes that are suitable for finite ...
A network approach for strapdown inertial kinematic gravimetry
Compared to the conventional ground measurement of gravity, airborne gravimetry is more efficient and cost-effective. Especially, the combination of GPS and INS is known to show very good performances recovering the gravity ...
Continuous-discontinuous modelling for quasi-brittle failure: propagating cracks in a regularised bulk
A new strategy to describe failure of quasi-brittle materials -concrete, for example- is presented. Traditionally, numerical simulation of quasi-brittle failure has been tackled from two different points of view: damage ...
The Removal Lemma: algebraic versions and applications
This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More specifically, it deals with the interaction between combinatorics, number theory and additive combinatorics. This area ...
Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds
In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing ...
Haar Wavelets-Based Methods for Credit Risk Portfolio Modeling
In this dissertation we have investigated the credit risk measurement of a credit portfolio by means of the wavelets theory. Banks became subject to regulatory capital requirements under Basel Accords and also to the ...
The equations of Rees algebras of ideals of almost-linear type
L’àlgebra de Rees R(I) d’un ideal I d’un anell Noetherià local R juga un paper molt important en àlgebra commutativa i geometria algebraica, perquè Proj(R(I)) és l’explosió (blowup) de l’esquema afí Spec(R) al llarg del ...
On geometric quantisation of integrable systems with singularities
This thesis shows an approach to geometric quantisation of integrable systems. It extends some results by Guillemin, Kostant, Rawnsley, Sniatycki and Sternberg in geometric quantisation, considering regular fibrations as ...
Contributions to secret sharing and other distributed cryptosystems
The present thesis deals with primitives related to the eld of distributed cryptography. First, we study signcryption schemes, which provide at the same time the functionalities of encryption and signature, where the ...
Hodge numbers of irregular varieties and fibrations
In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In the first one we ...
Explicit integration of some integrable systems of classical mechanics
The main objective of the thesis is the analytical and geometrical study of several integrable finite-dimentional dynamical systems of classical mechanics, which are closely related, namely: - the classical generalization ...
On the structure of graphs without short cycles
The objective of this thesis is to study cages, constructions and properties of such families of graphs. For this, the study of graphs without short cycles plays a fundamental role in order to develop some knowledge on ...
Neighborly and almost neighborly configurations, and their duals
This thesis presents new applications of Gale duality to the study of polytopes with extremal combinatorial properties. It consists in two parts. The first one is devoted to the construction of neighborly polytopes and ...
Homoclinic phenomena in conservative systems
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving maps and Hamiltonian systems). We consider homoclinic (bi-asymptotic) orbits either to saddle periodic orbits or to whiskered ...
Point-set manifold processing for computational mechanics: thin shells, reduced order modeling, cell motility and molecular conformations
In many applications, one would like to perform calculations on smooth manifolds of dimension d embedded in a high-dimensional space of dimension D. Often, a continuous description of such manifold is not known, and instead ...
Una Formalització de les construccions geomètriques
Geometric constructions have been studied by mathematicians from ancient Greece until now. Although most attention has been given by the ruler and compass, during the last decades interest in this subject has revived, and ...
Monodromías geométricas en familias de curvas de género 4
The goal of the thesis is the effective computation of the geometric monodromy, equivalently the monodromy in the fundamental group, for families of compact connected Riemann surfaces (complex algebraic curves) of genus ...
