Recent Submissions

  • Bernstein-Sato polynomial of plane curves and Yano's conjecture 

    Blanco Fernández, Guillem (Universitat Politècnica de Catalunya, 2020-04-16)
    Doctoral thesis
    Open Access
    The 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 

    Roy, Mallika (Universitat Politècnica de Catalunya, 2020-02-12)
    Doctoral thesis
    Open Access
    This 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 

    Miraglio, Pietro (Universitat Politècnica de Catalunya, 2020-01-28)
    Doctoral thesis
    Open Access
    My 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 

    Mohan, Prahu (Universitat Politècnica de Catalunya, 2019-07-03)
    Doctoral thesis
    Open Access
    Discrete 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 

    Calvo Schwarzwälder, Marc (Universitat Politècnica de Catalunya, 2019-07-12)
    Doctoral thesis
    Open Access
    For 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 ...
  • Stratification theory of matrix pairs under equivalence and contragredient equivalence 

    Klymchuk, Tetiana (Universitat Politècnica de Catalunya, 2019-06-21)
    Doctoral thesis
    Open Access
    We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an ...
  • Stable solutions of nonlinear fractional elliptic problems 

    Sanz Perela, Tomás (Universitat Politècnica de Catalunya, 2019-06-18)
    Doctoral thesis
    Open Access
    This thesis is devoted to study integro-differential equations. This type of equations constitutes nowadays a very active field of research which has important applications in modeling real-life phenomena where nonlocal ...
  • On the role of oscillatory dynamics in neural communication 

    Pérez Cervera, Alberto (Universitat Politècnica de Catalunya, 2019-04-04)
    Doctoral thesis
    Open Access
    In this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ...
  • Inverse Jacobian and related topics for certain superelliptic curves 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2019-03-28)
    Doctoral thesis
    Open Access
    Covenantee:  Universiteit Leiden
    Given an elliptic curve E over the complex numbers (CC) given by y^2 = x^3 + ax + b, there exists a lattice L in CC such that the group E(CC) of complex points on E is isomorphic to the complex analytic group CC/L. This ...
  • Parallel Lagrangian particle transport : application to respiratory system airways 

    Olivares Mañas, Edgar (Universitat Politècnica de Catalunya, 2018-11-09)
    Doctoral thesis
    Open Access
    This thesis is focused on particle transport in the context of high computing performance (HPC) in its widest range, from the numerical modeling to the physics involved, including its parallelization and post-process. The ...
  • A theoretical and computational study of soft adhesion mediated by mobile binders 

    Kaurin, Dimitri (Universitat Politècnica de Catalunya, 2018-10-29)
    Doctoral thesis
    Open Access
    We examine a classical problem in soft-matter physics: the specific adhesion between deformable elastic objects, such as vesicles, mediated by mobile adhesion molecules. This problem is relevant to cell-cell adhesion. To ...
  • Multimodal ventricular tachycardia analysis : towards the accurate parametrization of predictive HPC electrophysiological computational models 

    López-Yunta, Mariña (Universitat Politècnica de Catalunya, 2018-07-30)
    Doctoral thesis
    Open Access
    After a myocardial infarction, the affected areas of the cardiac tissue suffer changes in their electrical and mechanical properties. This post-infarction scar tissue has been related with a particular type of arrhythmia: ...

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