Neutrino masses and mixing in A4 models with three Higgs doublets

We study neutrino masses and mixing in the context of flavor models with A4 symmetry, three scalar doublets in the triplet representation, and three lepton families. We show that there is no representation assignment that yields a dimension-five mass operator consistent with experiment. We then consider a type-I seesaw with three heavy right-handed neutrinos, explaining in detail why it fails, and showing with a numerical example that agreement with the present neutrino oscillation data can be recovered with the inclusion of dimension-three heavy neutrino mass terms that break softly the A4 symmetry.Comment: 10 pages, RevTex, 3 figures. v2: much expanded section on softly broken A4; refs adde

Hermite polynomials, linear flows on the torus, and an uncertainty principle for roots

We study a recent result of Bourgain, Clozel and Kahane, a version of which states that a sufficiently nice function $f:\mathbb{R} \rightarrow \mathbb{R}$ that coincides with its Fourier transform and vanishes at the origin has a root in the interval $(c, \infty)$, where the optimal $c$ satisfies $0.41 \leq c \leq 0.64$. A similar result holds in higher dimensions. We improve the one-dimensional result to $0.45 \leq c \leq 0.594$, and the lower bound in higher dimensions. We also prove that extremizers exist, and have infinitely many double roots. With this purpose in mind, we establish a new structure statement about Hermite polynomials which relates their pointwise evaluation to linear flows on the torus, and applies to other families of orthogonal polynomials as well.Comment: 26 pages, 4 figure

A differential game approach to urban drainage systems control

© 20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Urban drainage systems (UDSs) are complex large-scale systems that carry stormwater and wastewater throughout urban areas. During heavy rain scenarios, UDSs are not able to handle the amount of extra water that enters the network and flooding occurs. Usually, this might happen because the network is not being used efficiently, i.e., some structures remain underused while many others are overused. This paper proposes a control methology based on differential game theory that aims to efficiently use the existing network elements in order to minimize overflows and properly manage the water resource. The proposed controller is tested on a typical UDS and is compared with a centralized MPC achieving similar results in terms of flooding minimization and network usage, but only using local information on distributed controllers.Peer ReviewedPostprint (author's final draft

Inovação e produtividade: aspectos para uma abordagem intersetorial

XX Encontro Nacional de Economia Política: desenvolvimento Latino-Americano, Integração e Inserção Internacional - UNILA, Foz do Iguaçu, 26 a 29 de maio de 2015O objetivo deste artigo é analisar a relação entre inovação e produtividade através de uma resenha da literatura teórica e empírica sobre o tema, focando, principalmente, nas metodologias de mensuração e causalidade dessas duas variáveis. Trata-se de uma abordagem em nível da fi rma e em nível setorial, com a proposição de demonstrar a importância do fl uxo de tecnologia e das inovações de produto entre as empresas e entre os setores para perceber como esse processo resulta em ganhos de produtividade. Buscam-se também alguns dados sobre as variáveis de produtividade e inovação no BrasilBanco Nacional de Desenvolvimento Econômico e Social (BNDES); Usina Hidrelétrica de Itaipu (ITAIPU); Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) e Universidade Federal da Integração Latino-Americana (UNILA

Revisión crítica de los audiovisuales animados chilenos

Este texto comunica los principales aspectos formales del reciente proyecto de investigación científica realizado en el marco FONDECYT de Iniciación, informando sobre las dimensiones y el alcance de éste. En dicho trabajo analizamos las estructuras narrativas de los audiovisuales animados chilenos realizados entre los años 2000-2008. El objetivo de la investigación fue comprender las leyes que se establecen en la relación sintáctico-semántica de la estructura compositiva formal, evidentes en cada muestra del estudio. Es un trabajo que abre una nueva línea investigación en Chile, y sus resultados proponen la proyección de nuevas investigaciones asociativas que incluyan variados enfoques disciplinares.This text presents the main formal aspects, the dimenions and scope of the recent scientific research project carried away under the frame of the FONDECYT Introductory program. Said research analyzes the narrative structures of the Chilean animation audiovisuals produced between 2000 and 2008. The research aimed at understanding the laws established in the sintactic-semantic relationship of the formal compositive structure, evident in any studio sample. This work inaugurates a new research line in Chile and the obtained results project towards new associative investigations including diverse disciplinary approaches