Facultat de Matemàtiques i Estadística
Recent Submissions
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Robotic manipulation of cloth: mechanical modeling and perception
(Universitat Politècnica de Catalunya, 2023-03-30)
Doctoral thesis
Open Access(Eng) In this work we study various mathematical problems arising from the robotic manipulation of cloth. First, we develop a locking-free continuous model for the physical simulation of inextensible textiles. We present ... -
Homoclinic and chaotic phenomena to L3 in the restricted 3-Body Problem
(Universitat Politècnica de Catalunya, 2022-11-25)
Doctoral thesis
Open Access(English) The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the ... -
Design of a hysteresis predictive control strategy with engineering application cases
(Universitat Politècnica de Catalunya, 2021-12-10)
Doctoral thesis
Open AccessThis doctoral thesis exposes the development of a redesigned Predictive Control strategy that uses hysteresis to improve the performance of the controlled systems in different fields of application. The approach may use ... -
Multiscale clutch models for cell mechanics
(Universitat Politècnica de Catalunya, 2022-07-22)
Doctoral thesis
Open AccessIntegrin-based cell adhesion is a key mechanism in fundamental biological processes such as cell migration and wound healing, and in diseases like osteoporosis and cancer. For example, during migration, cells form adhesion ... -
Local preconditioning for parallel iterative solvers
(Universitat Politècnica de Catalunya, 2022-04-22)
Doctoral thesis
Open AccessThis thesis aims at improving the convergence of iterative solvers, used for algebraic systems coming from the discretization of partial differential equations (PDE), in the context of large scale simulations and high ... -
Disentangling ecological networks in marine microbes
(Universitat Politècnica de Catalunya, 2021-11-29)
Doctoral thesis
Open AccessThere is a myriad of microorganisms on Earth contributing to global biogeochemical cycles, and their interactions are considered pivotal for ecosystem function. Previous studies have already determined relationships between ... -
p-adic L-functions, p-adic Gross-Zagier formulas and plectic points
(Universitat Politècnica de Catalunya, 2022-04-19)
Doctoral thesis
Open AccessIn this work we generalize the construction of p-adic anticyclotomic L-functions associated to an elliptic curve E/F and a quadratic extension K/F, by defining a measure µ_f^p attached to K/F and an automorphic form. In ... -
Probabilistic and extremal studies in additive combinatorics
(Universitat Politècnica de Catalunya, 2022-01-26)
Doctoral thesis
Open AccessThe results in this thesis concern extremal and probabilistic topics in number theoretic settings. We prove sufficient conditions on when certain types of integer solutions to linear systems of equations in binomial ... -
Geometrical aspects of contact mechanical systems and field theories
(Universitat Politècnica de Catalunya, 2021-12-17)
Doctoral thesis
Open AccessMany important theories in modern physics can be stated using the tools of differential geometry. It is well known that symplectic geometry is the natural framework to deal with autonomous Hamiltonian mechanics. This admits ... -
Threshold phenomena involving the connected components of random graphs and digraphs
(Universitat Politècnica de Catalunya, 2021-12-13)
Doctoral thesis
Open AccessWe consider some models of random graphs and directed graphs and investigate their behavior near thresholds for the appearance of certain types of connected components. Firstly, we look at the critical window for the ... -
A census for curves and surfaces with diophantine stability over finite fields
(Universitat Politècnica de Catalunya, 2021-10-29)
Doctoral thesis
Open AccessAn algebraic variety defined over a field is said to have Diophantine stability for an extension of this field if the variety does not acquire new points in the extension. Diophantine stability has a growing interest due ... -
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 ...
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