Facultat de Matemàtiques i Estadística
Recent Submissions
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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 ... -
Bernstein-Sato polynomial of plane curves and Yano's conjecture
(Universitat Politècnica de Catalunya, 2020-04-16)
Doctoral thesis
Open AccessThe 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
(Universitat Politècnica de Catalunya, 2020-02-12)
Doctoral thesis
Open AccessThis 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
(Universitat Politècnica de Catalunya, 2020-01-28)
Doctoral thesis
Open AccessMy 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
(Universitat Politècnica de Catalunya, 2019-07-03)
Doctoral thesis
Open AccessDiscrete 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
(Universitat Politècnica de Catalunya, 2019-07-12)
Doctoral thesis
Open AccessFor 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 ...
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