Distributional chaos of C0-semigroups of operators

El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva para aplicaciones del intervalo compacto en sí mismo. El caos distribucional para operadores fue estudiado por primera vez en [Opr06] y fue analizado en el contexto lineal de dimensión infinita en [MGOP09]. El concepto de caos distribucional para un operador (semigrupo) consiste en la existencia de un conjunto no numerable y un numero real positivo ¿ tal que para dos elementos distintos cualesquiera del conjunto no numerable, tanto la densidad superior del conjunto de iteraciones (tiempos) en las cuales la diferencia entre las órbitas de dichos elementos es mayor que ¿, como la densidad superior del conjunto de iteraciones (tiempos) en las cuales dicha diferencia es tan pequeña como se quiera, es igual a uno. Esta tesis est'a dividida en seis capítulos. En el primero, hacemos un resumen del estado actual de la teoría de la din'amica caótica para C0-semigrupos de operadores lineales. En el segundo capítulo, mostramos la equivalencia entre el caos distribucional de un C0-semigrupo y el caos distribucional de cada uno de sus operadores no triviales. Tambi'en caracterizamos el caos distribucional de un C0-semigrupo en t'erminos de la existencia de un vector distribucionalmente irregular. La noción de hiperciclicidad de un operador (semigrupo) consiste en la existencia de un elemento cuya órbita por el operador (semigrupo) sea densa. Si adem'as el conjunto de puntos periódicos es denso, diremos que el operador (semigrupo) es caótico en el sentido de Devaney. Una de las herramientas mas útiles para comprobar si un operador es hipercíclico es el Criterio de Hiperciclicidad, enunciado inicialmente por Kitai en 1982. En [BBMGP11], Bermúdez, Bonilla, Martínez-Gim'enez y Peris presentan elCriterio para Caos Distribucional (CDC en ingl'es) para operadores. Enunciamos y probamos una versión del CDC para C0-semigrupos. En el contexto de C0-semigrupos, Desch, Schappacher y Webb tambi'en estudiaron en [DSW97] la hiperciclicidad y el caos de Devaney para C0-semigrupos, dando un criterio para caos de Devaney basado en el espectro del generador in¿nitesimal del C0- semigrupo. En el tercer capítulo, establecemos un criterio de existencia de una variedad distribucionalmente irregular densa (DDIM en sus siglas en ingl'es) en t'erminos del espectro del generador in¿nitesimal del C0-semigrupo. En el Capítulo 4, se dan algunas condiciones su¿cientes para que el C0-semigrupo de traslación en espacios L p ponderados sea distribucionalmente caótico en función de la función peso admisible. Ademas, establecemos una analogía completa entre el estudio del caos distribucional para el C0-semigrupo de traslación y para los operadores de desplazamiento hacia atras o ¿backward shifts¿ en espacios ponderados de sucesiones. El capítulo quinto está dedicado al estudio de la existencia de C0-semigrupos para los cuales todo vector no nulo es un vector distribucionalmente irregular. Tambi'en damos un ejemplo de uno de dichos C0-semigrupos que además no es hipercíclico. En el Capítulo 6, el criterio DDIM se aplica a varios ejemplos de C0-semigrupos. Algunos de ellos siendo los semigrupos de solución de ecuaciones en derivadas parciales, como la ecuación hiperbólica de transferencia de calor o la ecuación de von Foerster-Lasota y otros son la solución de un sistema in¿nito de ecuaciones diferenciales ordinarias usado para modelizar la dinámica de una población de c'elulas bajo proliferación y maduración simultáneas.Barrachina Civera, X. (2013). Distributional chaos of C0-semigroups of operators [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/28241TESISPremiad

A freshmen mentoring program at the Universitat Politècnica de València over the period 2000-2010

Purpose: We quantify the dedication of mentors and mentees in a double-mentor program for freshmen. We also analyze the fulfillment of the expectations of all the participants and the utility of each mentor during the meetings. Design/methodology/approach: A questionnaire addressed to the participants was designed and took to all of them. Findings: We see that the mentees are highly satisfied with the mentoring program. Despite of mentors want mentees to participate more intensively in the program, mentees consider that their participation in the program is sufficient. Student and teacher mentors agree that freshmen could take more profit of the program. We also observe that the student mentor is slightly more implicated in the program than the teacher mentor. Research limitations/implications: Our results depend on the opinion of the mentors and the mentees. It would be fruitful to know the opinion of the freshmen who are not enrolled in the program. Practical implications: Our research confirms the validity of the system. We hope that our conclusions will be fruitful for other institutions that would like to implement a double-mentor program for freshmen. Originality/value: Many mentoring programs have been designed basing on a big brother/sister system. We analyze the development of a double-mentor program. The last law concerning university students, approved in Spain in 2011, indicates that mentoring programs should be designed in the frame of every degree, and they should be conducted by teachers and by technical staff. With our formula, both approaches are combined.Peer Reviewe

Design of conceptual maps for Massive Open Online Courses (MOOCS)

Massive Open Online Courses have opened a new perspective for learning. The fragmentation of their contents made them easier to follow and permits a faster access to each single video where a content is presented. Nevertheless, this fragmentation is also a handicap in order to set the connections between different contents. We propose the use of concept maps for showing the interconnection of the contents of the course. These maps are elaborated by the teachers and offered as a material of the course. We also expect that these maps will facilitate a deeper learning and the retention of the students in the course.The development of the MOOC and this research has been supported by the Departamento de Matemática Aplicada of the Universitat Politècnica de València under the project Aplicaciones de la Teoría de Grafos a la vida real, within the call Ayudas para proyectos de innovación docente en el DMA de la UPV (PID-DMA 2013).Barrachina, X.; Conejero, JA.; Jordan-Lluch, C.; Murillo Arcila, M. (2015). Design of conceptual maps for Massive Open Online Courses (MOOCS). En INTED2015 Proceedings. IATED. 2074-2078. http://hdl.handle.net/10251/70493S2074207

Devaney chaos and distributional chaos in the solution of certain partial differential equations

The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic. © 2012 Xavier Barrachina and J. Alberto Conejero.This work is supported in part by MEC and FEDER, Project MTM2010-14909, by Generalitat Valenciana, Project GV/2010/091, and by Universitat Politecnica de Valencia, Project PAID-06-09-2932. X. Barrachina also wants to acknowledge the support of the Grant FPI-UPV 2009-04 from Programa de Ayudas de Investigacion y Desarrollo de la Universitat Politecnica de Valencia. The authors also thank the referees for helpful comments that improved the presentation of the paper.Barrachina Civera, X.; Conejero Casares, JA. (2012). Devaney chaos and distributional chaos in the solution of certain partial differential equations. Abstract and Applied Analysis. 2012:1-11. https://doi.org/10.1155/2012/457019S111201

FaST-LMM for two-way Epistasis tests on high performance clusters

[EN] We introduce a version of the epistasis test in FaST-LMM for clusters of multithreaded processors. This new software maintains the sensitivity of the original FaST-LMM while delivering acceleration that is close to linear on 12-16 nodes of two recent platforms, with respect to improved implementation of FaST-LMM presented in an earlier work. This efficiency is attained through several enhancements on the original single-node version of FaST-LMM, together with the development of a message passing interface (MPI)-based version that ensures a balanced distribution of the workload as well as a multigraphics processing unit (GPU) module that can exploit the presence of multiple GPUs per node.The researchers from the Universitat Jaume I were supported by projects TIN2014-53495-R and TIN2017-82972-R of the MINECO and FEDER.Martínez, H.; Barrachina, S.; Castillo, M.; Quintana Ortí, ES.; Rambla De Argila, J.; Farre, X.; Navarro, A. (2018). FaST-LMM for two-way Epistasis tests on high performance clusters. Journal of Computational Biology. 25(8):862-870. https://doi.org/10.1089/cmb.2018.0087S86287025

A freshmen mentoring program at the Universitat Politècnica de València

Purpose: We quantify the dedication of mentors and mentees in a double-mentor program for freshmen. We also analyze the fulfillment of the expectations of all the participants and the utility of each mentor during the meetings. Design/methodology/approach: A questionnaire addressed to the participants was designed and took to all of them. Findings: We see that the mentees are highly satisfied with the mentoring program. Despite of mentors want mentees to participate more intensively in the program, mentees consider that their participation in the program is sufficient. Student and teacher mentors agree that freshmen could take more profit of the program. We also observe that the student mentor is slightly more implicated in the program than the teacher mentor. Research limitations/implications: Our results depend on the opinion of the mentors and the mentees. It would be fruitful to know the opinion of the freshmen who are not enrolled in the program. Practical implications: Our research confirms the validity of the system. We hope that our conclusions will be fruitful for other institutions that would like to implement a double-mentor program for freshmen. Originality/value: Many mentoring programs have been designed basing on a big brother/sister system. We analyze the development of a double-mentor program. The last law concerning university students, approved in Spain in 2011, indicates that mentoring programs should be designed in the frame of every degree, and they should be conducted by teachers and by technical staff. With our formula, both approaches are combined. © Journal of Industrial Engineering and Management, 2011.Barrachina Civera, X.; Conejero Casares, JA.; García Félix, VE. (2011). A freshmen mentoring program at the Universitat Politècnica de València. Journal of Industrial Engineering and Management. 4(1):146-162. doi:10.3926/jiem.2011.v4n1.p146-162S1461624

Distributional chaos for the Forward and Backward Control traffic model

The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery model were already known to be chaotic. We consider the linear Forward and Backward Control traffic model for an infinite number of cars on a track. We show the existence of solutions with a chaotic behaviour by using some results of linear dynamics of C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions. © 2015 Elsevier Inc. All rights reserved.The first three authors were supported by MTM2013-47093-P. The first author was supported by the ERC grant HEVO no. 2177691. The third author was also supported by MTM2013-47093-P and by a grant from the FPU program of MEC (AP 2010-4361).Barrachina Civera, X.; Conejero, JA.; Murillo Arcila, M.; Seoane-Sepulveda, JB. (2015). Distributional chaos for the Forward and Backward Control traffic model. Linear Algebra and its Applications. 479:202-215. https://doi.org/10.1016/j.laa.2015.04.010S20221547

Sports, morality and body. The voices of sportswomen under Franco's dictatorship

The aim of this research is to study sportswomen's perceptions and experiences of women's sport in Francoist Spain (1939-1975). The main objective is to analyse the social, moral and aesthetic elements that are present in the experience of these athletes. This study was carried out with an intentional sample of 24 women from Andalusia, Aragon, Asturias, Basque Country, Catalonia and Valencia. They were interviewed by a network of researchers from six universities. Outstanding results show the existence of social limitations to start sports practice (particularly in the post-war period); the importance of sport as a character-building aspect; sport's remarkable influence on their body self-concept; and the incidence on sports of the mainstream moral discourse, which created a female model that even affected sports clothing. The main conclusion is that sportswomen in that period were pioneers and had to fight against most of society in order to develop their facet as athletes, as they would not follow the established model