Facultat de Matemàtiques i Estadística
Recent Submissions
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Genomics tools in the cloud: the new frontier in omics data analysis
(Universitat Politècnica de Catalunya, 2021-10-19)
Doctoral thesis
Open AccessSubstantial technological advancements in next generation sequencing (NGS) have revolutionized the genomic field. Over the last years, the speed and throughput of NGS technologies have increased while their costs have ... -
A study on structure recovery and the broadcasting problem
(Universitat Politècnica de Catalunya, 2021-09-17)
Doctoral thesis
Open AccessThe thesis contains a study of two problems of combinatorial statistics. The first one is structure learning for partial correlation graphs and the second one is the broadcasting problem on certain families of random ... -
Ejection-collision orbits in the restricted three-body problem
(Universitat Politècnica de Catalunya, 2021-07-06)
Doctoral thesis
Open AccessThe main objective of this dissertation is the study of the ejection-collision (EC) orbits in the circular and planar Restricted Three Body Problem (RTBP from now on). In particular, we will focus on the analytical and ... -
An effective method to study the Hopf-Galois module structure of certain extensions of fields
(Universitat Politècnica de Catalunya, 2021-07-02)
Doctoral thesis
Open AccessWe develop a method to compute a basis of the associated order in a Hopf Galois structure H of the ring of integers O_L of an extension of number or p-adic fields L/K. We state and prove a necessary and sufficient condition ... -
Algebraic and semi-algebraic phylogenetic reconstruction
(Universitat Politècnica de Catalunya, 2021-07-22)
Doctoral thesis
Open AccessPhylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent ... -
Qualitative properties of solutions to integro-differential elliptic problems
(Universitat Politècnica de Catalunya, 2021-07-14)
Doctoral thesis
Open AccessThe thesis is devoted to the analysis of elliptic PDEs and related problems. It is mainly focused on the study of qualitative and regularity properties of solutions to integro-differential equations. The study of such ... -
The geometry and topology of steady Euler flows, integrability and singular geometric structures
(Universitat Politècnica de Catalunya, 2021-05-26)
Doctoral thesis
Open AccessIn this thesis, we make a deep investigation of the geometry and dynamics of several objects (singular or not) appearing in nature. The main goal is to study rigidity versus flexibility dynamical behavior of the objects ... -
A theoretical and computational study of the interaction between biomembranes and curved proteins
(Universitat Politècnica de Catalunya, 2021-04-30)
Doctoral thesis
Open AccessOrganelles are the smallest functional parts of eukaryotic cells. Among them, some are membrane-bound such as the nucleus, the endoplasmic reticulum, or the Golgi apparatus, each of them with essential biological functions. ... -
A hesitant fuzzy perceptual-based approach to model linguistic assessments
(Universitat Politècnica de Catalunya, 2021-04-07)
Doctoral thesis
Open AccessMultiple-criteria or multiple-attribute group decision-making is a sub-field of operations research that seek to find a common and representative solution given the preferences elicited by a pre-defined group, over a set ... -
Long-term privacy in electronic voting systems
(Universitat Politècnica de Catalunya, 2021-04-14)
Doctoral thesis
Open AccessThis PhD thesis focuses on lattice-based cryptography and how to apply it to build post-quantum online voting systems. It is the result of the research done by the author at Scytl in close collaboration with Dr. Paz Morillo, ... -
Special values of the triple product p-adic L-function
(Universitat Politècnica de Catalunya, 2021-03-19)
Doctoral thesis
Open AccessLet E be an elliptic curve defined over the field of rational numbers and let f be the corresponding newform of weight 2. Let g,h be two weight one newforms whose nebentype characters are mutually inverse. Let V be the ... -
Arithmetic applications of the Euler systems of Beilinson-Flach elements and diagonal cycles
(Universitat Politècnica de Catalunya, 2021-02-12)
Doctoral thesis
Open AccessThe main objective of this dissertation is the exploration of certain arithmetic applications of the Euler systems of Beilinson--Flach elements and diagonal cycles. Euler systems have been proved to be a very powerful tool ...
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