Departament de Matemàtiques
Recent Submissions
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The embedding problem for Markov matrices
(Universitat Politècnica de Catalunya, 2021-05-18)
Doctoral thesis
Open AccessThe goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ... -
On the fractional Yamabe problem with isolated singularities and related issues
(Universitat Politècnica de Catalunya, 2016-12-19)
Doctoral thesis
Open AccessMy research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some of the classical local ... -
Stark-Heegner points and p-adic L-functions
(Universitat Politècnica de Catalunya, 2016-10-28)
Doctoral thesis
Open Access
Covenantee: Université de BordeauxLet K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant ... -
Multiplier ideals in two-dimensional local rings with rational singularities
(Universitat Politècnica de Catalunya, 2016-06-13)
Doctoral thesis
Open Access
Covenantee: Katholieke Universiteit te LeuvenThe aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ... -
Descent in Lawson homology and morphic cohomology
(Universitat Politècnica de Catalunya, 2016-01-26)
Doctoral thesis
Open AccessThe traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However, in the beginnings of the 90's, Blaine Lawson and Eric Friedlander developed a different way to study algebraic cycles on ... -
The variational approach to brittle fracture in materials with anisotropic surface energy and in thin sheets
(Universitat Politècnica de Catalunya, 2016-03-08)
Doctoral thesis
Open AccessFracture mechanics of brittle materials has focused on bulk materials with isotropic surface energy. In this situation different physical principles for crack path selection are very similar or even equivalent. The situation ... -
Rheological models for tissue relaxation and fluidisation
(Universitat Politècnica de Catalunya, 2016-03-04)
Doctoral thesis
Open AccessWe present a cell-centred model for the simulation of multicellular soft tissues that takes into account the underlying active process at the cytoskeletal level, and allows for active and passive cell-cell reorganisation ... -
Ecuaciones en diferencias lineales de segundo orden y su aplicación al análisis matricial
(Universitat Politècnica de Catalunya, 2016-02-04)
Doctoral thesis
Open AccessIt is well known the important role that difference equations play in several problems of the engineering or of the science. However, whereas the expression of the solutions when the coefficients of the equations are ... -
Estudi de l'evolució i el tractament del càncer des d'una perspectiva de la biologia de sistemes
(Universitat Politècnica de Catalunya, 2016-01-29)
Doctoral thesis
Open AccessCancer can be defined as a family of complex disease characterized by a cellular hyperproliferation and the capacity of the cell to invade surrounding tissue and metastasize to other organs in the body. The development and ... -
Aportaciones al estudio de los sistemas electorales
(Universitat Politècnica de Catalunya, 2016-01-28)
Doctoral thesis
Open AccessAn important question that modern societies have to decide is the election of some people who represent them and can also make some decisions. Mechanisms to do it are called Electoral Systems. In fact, there are a lot of ... -
Design and validation of structural health monitoring system based on bio-inspired algotithms
(Universitat Politècnica de Catalunya, 2016-07-15)
Doctoral thesis
Open AccessThe need of ensure the proper performance of the structures in service has made of structural health monitoring (SHM) a priority research area. Researchers all around the world have focused efforts on the development of ...
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