Discrete sub- and supersolutions method

Mención Internacional en el título de doctorThis thesis develops the discrete sub- and supersolutions method and applies it to prove the convergence of the nonlinear finite element method applied to the generalized di usive logistic equation......Este trabajo ha sido desarrollado en el Departamento de Matemáticas de la Universidad Carlos III de Madrid (UC3M) bajo la dirección de la profesora Marcela Molina Meyer. Se contó con una beca de la UC3M de ayuda al estudio de máster de dos años de duración y posteriormente con un contrato de investigador en formación de la UC3M durante tres años más. Adicionalmente se recibió una ayuda de la UC3M para realizar una estancia de investigación, financiada por el programa "Ayudas para la movilidad de investigadores de la Universidad Carlos III de Madrid en centros de investigación nacionales o extranjeros, Convocatoria 2015. Modalidad B: investigadores en formación predoctoral". La estancia de investigación se realizó en el Departamento de Matematicas de Heriot-Watt University (Edimburgo). Además, esta tesis ha sido respaldada parcialmente por el Ministerio de Economía y Competitividad de España con el proyecto MTM2015-65899-P y por el Ministerio de Ciencia, Innovación y Universidades de España con el proyecto PGC2018-097104-B-100.Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de MadridPresidente: John Werner Peter Volker.- Secretario: Julia María Novo Martín.- Vocal: Sara Polloc

Adventive-diffusive equations of population dynamics

Tesis inédita de la Universidad Complutense de Madrid, Facultad de Ciencias Matemáticas, Departamento de Matemática Aplicada, leída el 17-12-2015Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasTRUEunpu

Vector Centrality in Hypergraphs

Identifying the most influential nodes in networked systems is of vital importance to optimize their function and control. Several scalar metrics have been proposed to that effect, but the recent shift in focus towards network structures which go beyond a simple collection of dyadic interactions has rendered them void of performance guarantees. We here introduce a new measure of node's centrality, which is no longer a scalar value, but a vector with dimension one lower than the highest order of interaction in a hypergraph. Such a vectorial measure is linked to the eigenvector centrality for networks containing only dyadic interactions, but it has a significant added value in all other situations where interactions occur at higher-orders. In particular, it is able to unveil different roles which may be played by the same node at different orders of interactions -- information that is otherwise impossible to retrieve by single scalar measures. We demonstrate the efficacy of our measure with applications to synthetic networks and to three real world hypergraphs, and compare our results with those obtained by applying other scalar measures of centrality proposed in the literature.Comment: 10 pages, 9 figure

Antisaccades and memory-guided saccades in genetic generalized epilepsy and temporal lobe epilepsy

Objective: Oculomotor tasks can be used to measure volitional control of behavior sensitive to frontal dysfunction. This study aimed to examine the saccadic eye movement in Genetic Generalized Epilepsy (GGE) which could correlate with the abnormality of the frontal lobe or the thalamo-frontal network. Methods: Twenty-one patients with GGE were compared with 22 patients with Temporal Lobe Epilepsy (TLE) and 39 healthy controls. Visual-guided saccades, Antisaccades, and Memory-guided saccades as oculomotor tasks were performed using a novel gaze-tracker designed for clinical practice use. Results: Patients with epilepsy (either GEE or TLE) had similar latency, accuracy, and velocity in visual-guided saccades and memory-guided saccades. Patients with epilepsy had similar latencies and correct antisaccade number. However, healthy volunteers, matched by age, had faster responses and more accurate results than patients with epilepsy. Conclusions: Our investigations did not reveal differences between TLE and GGE patients' groups in visually guided saccades, antisaccades, and memory-guided saccades, thus suggesting that the frontal cortical mechanisms responsible for them are not explicitly impaired in patients with GGE.Peer reviewe

New Generation CERN LHC Injection Dump - Assembly and Installation (TDIS)

During CERN’s LS2, several upgrades were performed to beam intercepting devices in the framework of the HL-LHC Project. Upgraded equipment includes two internal beam dumps (TDIS) intended for machine protection located at the injection points from the SPS to the LHC. These two devices have been assembled, tested, and installed around LHC Point 2 and Point 8 and are currently ready to get commissioned with the beam. They are 5.8m-long, three-module-segmented vacuum chambers, with large aperture to accommodate the injected and circulating beam and equipped with absorbing materials, These comprise graphite and higher Z alloys that are embedded on sub-assemblies reinforced with back-stiffeners made of TZM. The current contribution covers three main matters. First, it details the TDIS design and its key technical features. The second topic discussed is the outcome of an experiment where a prototype module was tested under high-energy beam impacts at CERN’s HiRadMat facility. To conclude it is presented the return of experience from the pre-series construction, validation and installation in the LHC tunnel