Facultat de Matemàtiques i Estadística
Enviaments recents
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A study of cortical network models with realistic connectivity
(Universitat Politècnica de Catalunya, 2018-03-23)
Tesi
Accés obertStructure 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
(Universitat Politècnica de Catalunya, 2018-03-16)
Tesi
Accés obertIn 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
(Universitat Politècnica de Catalunya, 2017-11-11)
Tesi
Accés obertThis 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
(Universitat Politècnica de Catalunya, 2017-11-24)
Tesi
Accés obertIn 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
(Universitat Politècnica de Catalunya, 2017-09-04)
Tesi
Accés obertIn 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
(Universitat Politècnica de Catalunya, 2017-02-09)
Tesi
Accés obertThe 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 ... -
A theoretical and computational study of the mechanics of biomembranes at multiple scales
(Universitat Politècnica de Catalunya, 2017-07-11)
Tesi
Accés obertLipid 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
(Universitat Politècnica de Catalunya, 2017-07-18)
Tesi
Accés obertA 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 ... -
Extensions of free groups: algebraic, geometric, and algorithmic aspects
(Universitat Politècnica de Catalunya, 2017-09-15)
Tesi
Accés obertIn 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 ... -
Advanced cryptographic techniques for building verifiable and transparent electronic voting protocols
(Universitat Politècnica de Catalunya, 2017-07-21)
Tesi
Accés obertElectronic 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
(Universitat Politècnica de Catalunya, 2016-12-21)
Tesi
Accés obertThe 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
(Universitat Politècnica de Catalunya, 2017-03-27)
Tesi
Accés obertIn 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 ...
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