Recent Submissions

  • Spectral gap of generalized MIT bag models 

    Duran Lamiel, Joaquim (Universitat Politècnica de Catalunya, 2024-01-24)
    Master thesis
    Open Access
    Covenantee:   Centre de Recerca Matemàtica
    We study some spectral properties of generalized MIT bag models. These are a family of Dirac operators $\{H_\tau\}_{\tau \in \mathbb R\cup \{-\infty, +\infty\}}$ used in the field of relativistic quantum mechanics to model ...
  • Development of predictive flight fuel consumption models 

    García Hernàndez, Sílvia (Universitat Politècnica de Catalunya, 2024-01-24)
    Master thesis
    Open Access
    Fuel consumption is a crucial consideration in the aviation industry. This last one, integral to global connectivity, faces significant environmental concerns due to the escalating demand for air travel and its substantial ...
  • Network creation games: NE graphs for high-price links 

    Gómez Arias, Mario (Universitat Politècnica de Catalunya, 2024-01-23)
    Master thesis
    Open Access
    Network Creation Games (NCGs) are a long-standing, well-studied setting in Algorithmic Game Theory. In this game, the players consist of nodes in a graph that purchase other nodes at cost α, a parameter of the game. In the ...
  • Interpolation and geometrical transition of minimal surfaces with differential adhesion 

    Pascual Mellado, Roger (Universitat Politècnica de Catalunya, 2023-10-16)
    Master thesis
    Open Access
    The observed shape of cells can be understood and simplified to a contractile surface with a volume preserving constraint. Vertex models are a suitable approach to simulate such systems and attempt to numerically simulate ...
  • Reconstructing a dynamic world: What is next? 

    Gastón Codony, Fernando (Universitat Politècnica de Catalunya, 2023-10-16)
    Master thesis
    Open Access
    In this thesis, we study the problem denoted as Non-Rigid Structure from Motion and tackle the two distinct parts of the problem: motion and shape estimation together with the corresponding temporal segmentation into ...
  • Succinct encodings of graphs and other combinatorial structures 

    Lumbreras Navarro, Raúl (Universitat Politècnica de Catalunya, 2023-10-16)
    Master thesis
    Open Access
    Considerem el següent problema. Donada una família de grafs amb un cert nombre de grafs amb n vèrtexs, volem trobar una representació per a qualsevol graf dins la família fent servir un nombre òptim de bits. És a dir, sigui ...
  • Variants and applications of Gehring's lemma 

    Navarro Arroyo, Vicent (Universitat Politècnica de Catalunya, 2023-10-18)
    Master thesis
    Open Access
    In this thesis, we present and prove the celebrated Gehring's Lemma in $\mathbb{R}^n$, that unveils a self-improving property of reverse Hölder inequalities, considering inhomogeneity. Subsequently, we apply the former ...
  • On the number of drawings of a combinatorial triangulations 

    Cruces Mateo, Belen (Universitat Politècnica de Catalunya, 2023-10-16)
    Master thesis
    Open Access
    Aquesta tesi explora la relació entre triangulacions combinatòries i geomètriques en geometria discreta i combinatòria. Per triangulacions combinatòries ens referim a grafs, mentre que per triangulacions geomètriques ens ...
  • Tècniques geomètriques en monogeneïcitat 

    Pedret Martínez, Francesc (Universitat Politècnica de Catalunya, 2023-10-17)
    Master thesis
    Open Access
    By the primitive element theorem, any number field K of degree n can be written as Q(α) for some α in K. However, the analogous affirmation is not always true in the case of the ring of integers. When the ring of integers ...
  • Limit distribution of Hodge spectral exponents of plane curve singularities 

    Gómez López, Roger (Universitat Politècnica de Catalunya, 2023-09-14)
    Master thesis
    Open Access
    K. Saito va formular la pregunta de si una distribució continua és el límit de la distribució dels exponents espectrals de Hodge a l'interval [0,1) d'una hipersuperfície quan aquesta es mou en un sentit que s'ha de precisar. ...
  • Counting subgroups using Stallings automata and generalizations 

    López Larios, Paloma (Universitat Politècnica de Catalunya, 2023-09-12)
    Master thesis
    Open Access
    L'estudi dels subgrups del grup lliure es pot dur a terme utilitzant la teoria desenvolupada per Stallings, que dóna una representació gràfica que codifica les propietats algebraiques d'aquests subgrups en forma d'autòmats ...
  • Neural network dynamics underlying stimulus categorization and estimation 

    Donderis De Vicente, Miguel (Universitat Politècnica de Catalunya, 2023-09-08)
    Master thesis
    Open Access

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