Facultat de Matemàtiques i Estadística
Recent Submissions
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Active superelasticity in three-dimensional epithelia of controlled shape
(Universitat Politècnica de Catalunya, 2021-02-19)
Doctoral thesis
Open AccessFundamental 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
(Universitat Politècnica de Catalunya, 2021-02-17)
Doctoral thesis
Open AccessIn 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
(Universitat Politècnica de Catalunya, 2020-09-30)
Doctoral thesis
Open AccessThis 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
(Universitat Politècnica de Catalunya, 2019-04-03)
Doctoral thesis
Open AccessThis 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
(Universitat Politècnica de Catalunya, 2020-12-21)
Doctoral thesis
Open AccessThis 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
(Universitat Politècnica de Catalunya, 2020-11-24)
Doctoral thesis
Open AccessThe 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
(Universitat Politècnica de Catalunya, 2020-10-02)
Doctoral thesis
Open AccessIn 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
(Universitat Politècnica de Catalunya, 2020-11-30)
Doctoral thesis
Open AccessThis 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
(Universitat Politècnica de Catalunya, 2020-09-14)
Doctoral thesis
Open AccessThe 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
(Universitat Politècnica de Catalunya, 2020-09-15)
Doctoral thesis
Open AccessEs 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
(Universitat Politècnica de Catalunya, 2020-07-03)
Doctoral thesis
Open AccessArithmetic 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
(Universitat Politècnica de Catalunya, 2020-06-25)
Doctoral thesis
Open AccessThis 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 ...
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