Facultat de Matemàtiques i Estadística: Recent submissions
Now showing items 6-25 of 116
High-performance computing fluid-structure interaction model of bioprosthetic aortic valve replacements
(English) Computational modeling and simulation (CM&S) provides a powerful cost- and time-efficient tool to access detailed mechanistic information of biomedical problems, which is not accessible in either clinical imaging ...
Unstable motions in the three body problem
(English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...
Theory and computation of multiscale epithelial mechanics : from active gels to vertex models
(English) Epithelial monolayers perform a variety of mechanical functions, which include maintaining a cohesive barrier or developing 3D shapes, while undergoing stretches over a wide range of magnitudes and loading rates. ...
Discrete operators and distances on subdivision networks
(English) The research we have carried out lies within the domain of diffusion problems for elliptic operators that are defined on discrete structures called networks, that are graphs that are capable of discriminating ...
Flexoelectricity at surface instabilities and stress singularities
(English) The flexoelectric effect, the two-way linear coupling between strain gradient and electric polarization (direct flexoelectricity) or electric field gradient and strain (converse flexoelectricity) universally ...
Mathematical and computational modeling of active cellular flows
(English) During development, cellular tissues undergo dramatic reconfigurations as a result of organized flows driven by active forces. Depending on the system, cellular flows and active forces can be understood from a ...
Mechanics of epithelial tissue subjected to controlled pressure
(English) Epithelial sheets form specialized 3D structures suited to their physiological roles, such as branched alveoli in the lungs, tubes in the kidney, and villi in the intestine. To generate and maintain these structures, ...
Theta correspondences and arithmetic intersections
(English) The thesis is mainly divided into two parts. In essence, the first one is an extension of the paper [Ter22]. Using the regularized Siege-Weil formula of [GQT14] we obtain an explicit expression for the truncated ...
First order logic of random sparse structures
(English) This work is dedicated to the study several models of random structures from the perspective of first-order logic. We prove that the asymptotic probabilities of first-order statements converge in a general model ...
A theoretical and computational study of the active self-organization of nematic patterns in thin cytoskeletal layers and their effect on curvature
(English)The structure and dynamics of important biological systems, ranging from cytoskeletal gels to tissues, are controlled by an interplay between activity, dissipation, nematic order, density, and geometry. In particular, ...
Lattice-based zero-knowledge proofs of knowledge
(English) The main goal of this dissertation is to develop new lattice-based cryptographic schemes. Most of the cryptographic protocols that each and every one of us use on a daily basis are only secure under the assumption ...
Metric-aware optimization of high-order meshes for curved adaptivity
(English) To enhance the simulation accuracy when the solution presents sharp curved features, the community of high-order methods has started to curve not only the boundary but also the interior of unstructured high-order ...
Nodal distributions on the high-dimensional simplex for high-order interpolation and integration
(English) To simulate unsteady phenomena on complex moving geometry, computational scientists and engineers have been interested in unstructured space-time discretizations. These space-time discretizations aim to overcome ...
Robotic manipulation of cloth: mechanical modeling and perception
(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
(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
This 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
Integrin-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
This 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
There 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
In 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 ...
