Programa de Doctorat en Matemàtica Aplicada: Enviaments recents
Ara mostrant els elements 81-100 de 200
A study of cortical network models with realistic connectivity
Structure is fundamental in shaping the types of computations that neuronal circuits can perform. Explaining the laws that determine the connectivity properties of brain networks and their implications in neuronal dynamics ...
Mathematical modelling of diffusion processes at the nanoscale
In this thesis we study diffusion processes of nanoparticle evolution and develop appropriate models with the aim of being able to optimise their functions according to the needs of industry. Two distinct diffusion processes ...
Hybrid cell-centred/vertex model for multicellular systems
This thesis presents a hybrid vertex/cell-centred approach to mechanically simulate planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell ...
On some spectral and combinatorial properties of distance-regular graphs and their generalizations
In this work we present the study we did in Graph Theory. In the firsts chapteres of the tesis we study the pieces of information that can be obtained from a graph: the spectrum of the adjacency matrix, the preintersection ...
Novel consensus strategies applied to spacecraft formation flight
In this thesis we consider the problem of developing distributed control strategies for spacecraft formation flying. In light of possible interferometric applications, the study is conducted in two different contexts: ...
Efficient solvers for power flow equations : parametric solutions with accuracy control assessment
The Power Flow model is extensively used to predict the behavior of electric grids and results in solving a nonlinear algebraic system of equations. Modeling the grid is essential for design optimization and control. Both ...
Extensions of free groups: algebraic, geometric, and algorithmic aspects
In this work we use geometric techniques in order to study certain natural extensions of free groups, and solve several algorithmic problems on them. To this end, we consider the family of free-abelian times free groups ...
A theoretical and computational study of the mechanics of biomembranes at multiple scales
Lipid membranes are thin objects that form the main separation structure in cells. They have remarkable mechanical properties; while behaving as a solid shell against bending, they exhibit in-plane fluidity. These two ...
Completion and decomposition of hypergraphs by domination hypergraphs
A graph consists of a finite non-empty set of vertices and a set of unordered pairs of vertices, called edges. A dominating set of a graph is a set of vertices D such that every vertex not in D is adjacent to some vertex ...
Advanced cryptographic techniques for building verifiable and transparent electronic voting protocols
Electronic voting presents many challenges due to its multiple security requirements. Some of the challenges are related to guaranteeing voters' privacy and system's transparency, which are hard to satisfy simultaneously. ...
Integrable systems on b-symplectic manifolds
The study of b-symplectic manifolds was initiated in 2012 by the works of Victor Guillemin, Eva Miranda and Ana Rita Pires (Adv. Math. 264 (2014), 864¿896). These manifolds, which can be understood as symplectic manifolds ...
Graph enumeration and random graphs
In this thesis we use analytic combinatorics to deal with two related problems: graph enumeration and random graphs from constrained classes of graphs. We are interested in drawing a general picture of some graph families ...
On the fractional Yamabe problem with isolated singularities and related issues
My 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
Let 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
The 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
The 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 ...
Monotonicity preserving shock capturing techniques for finite elements
The main object of study of this thesis is the development of artificial diffusion shock capturing techniques for continuous and discontinuous Galerkin (cG and dG) approximations of the convection-diffusion problem. Special ...
On iterative methods to solve nonlinear equations
Many of the problems in experimental sciences and other disciplines can be expressed in the form of nonlinear equations. The solution of these equations is rarely obtained in closed form. With the development of computers, ...
The variational approach to brittle fracture in materials with anisotropic surface energy and in thin sheets
Fracture 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
We 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 ...
