COMPARISON RESULTS FOR CONJUGATE AND FOCAL POINTS IN SEMI-RIEMANNIAN GEOMETRY VIA MASLOV INDEX

We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications to the study of conjugate and focal points along a geodesic in a semi-Riemannian manifold.

O impacto de reestruturação e privatização na gestão integrada do setor de energia elétrica: análise do setor a partir da abordagem de redes

The Brazilian energetic sector is passing through deep transformations. The restructure is mainly characterized by the passage from a vertical and centrally coordinated system, in hands of the State, to a more horizontal one, with characteristics of a network, in which organizations, such as the National Agency of Electric Energy (ANEEL), the new regulator entity, the Wholesaler Market of Electric Energy (MAE), the National Operator of Electric System (ONS), Eletrobrás and the National Bank of Economic and Social Development (BNDES) are designated as the principals integrators of the system. The objective of the present work was to analyze the influence of the privatization and restructuring processes in the integration of the Brazilian system of electric energy. The analysis was based on the instruments offered by the network approach. The results of the research show that the Brazilian sector of electric energy cannot be considered as a highly integrated network. In this new horizontal configuration, the social actors are affirming its roles, functions and objectives, while the key-organization like ANEEL, ONS, MAE, Eletrobrás, and BNDES are being structured to strengthen its integrative role.

A Framework supporting collaboration on the distributed design of integrated systems

The work described in this thesis aims to support the distributed design of integrated systems and considers specifically the need for collaborative interaction among designers. Particular emphasis was given to issues which were only marginally considered in previous approaches, such as the abstraction of the distribution of design automation resources over the network, the possibility of both synchronous and asynchronous interaction among designers and the support for extensible design data models. Such issues demand a rather complex software infrastructure, as possible solutions must encompass a wide range of software modules: from user interfaces to middleware to databases. To build such structure, several engineering techniques were employed and some original solutions were devised. The core of the proposed solution is based in the joint application of two homonymic technologies: CAD Frameworks and object-oriented frameworks. The former concept was coined in the late 80's within the electronic design automation community and comprehends a layered software environment which aims to support CAD tool developers, CAD administrators/integrators and designers. The latter, developed during the last decade by the software engineering community, is a software architecture model to build extensible and reusable object-oriented software subsystems. In this work, we proposed to create an object-oriented framework which includes extensible sets of design data primitives and design tool building blocks. Such object-oriented framework is included within a CAD Framework, where it plays important roles on typical CAD Framework services such as design data representation and management, versioning, user interfaces, design management and tool integration. The implemented CAD Framework - named Cave2 - followed the classical layered architecture presented by Barnes, Harrison, Newton and Spickelmier, but the possibilities granted by the use of the object-oriented framework foundations allowed a series of improvements which were not available in previous approaches: - object-oriented frameworks are extensible by design, thus this should be also true regarding the implemented sets of design data primitives and design tool building blocks. This means that both the design representation model and the software modules dealing with it can be upgraded or adapted to a particular design methodology, and that such extensions and adaptations will still inherit the architectural and functional aspects implemented in the object-oriented framework foundation; - the design semantics and the design visualization are both part of the object-oriented framework, but in clearly separated models. This allows for different visualization strategies for a given design data set, which gives collaborating parties the flexibility to choose individual visualization settings; - the control of the consistency between semantics and visualization - a particularly important issue in a design environment with multiple views of a single design - is also included in the foundations of the object-oriented framework. Such mechanism is generic enough to be also used by further extensions of the design data model, as it is based on the inversion of control between view and semantics. The view receives the user input and propagates such event to the semantic model, which evaluates if a state change is possible. If positive, it triggers the change of state of both semantics and view. Our approach took advantage of such inversion of control and included an layer between semantics and view to take into account the possibility of multi-view consistency; - to optimize the consistency control mechanism between views and semantics, we propose an event-based approach that captures each discrete interaction of a designer with his/her respective design views. The information about each interaction is encapsulated inside an event object, which may be propagated to the design semantics - and thus to other possible views - according to the consistency policy which is being used. Furthermore, the use of event pools allows for a late synchronization between view and semantics in case of unavailability of a network connection between them; - the use of proxy objects raised significantly the abstraction of the integration of design automation resources, as either remote or local tools and services are accessed through method calls in a local object. The connection to remote tools and services using a look-up protocol also abstracted completely the network location of such resources, allowing for resource addition and removal during runtime; - the implemented CAD Framework is completely based on Java technology, so it relies on the Java Virtual Machine as the layer which grants the independence between the CAD Framework and the operating system. All such improvements contributed to a higher abstraction on the distribution of design automation resources and also introduced a new paradigm for the remote interaction between designers. The resulting CAD Framework is able to support fine-grained collaboration based on events, so every single design update performed by a designer can be propagated to the rest of the design team regardless of their location in the distributed environment. This can increase the group awareness and allow a richer transfer of experiences among them, improving significantly the collaboration potential when compared to previously proposed file-based or record-based approaches. Three different case studies were conducted to validate the proposed approach, each one focusing one a subset of the contributions of this thesis. The first one uses the proxy-based resource distribution architecture to implement a prototyping platform using reconfigurable hardware modules. The second one extends the foundations of the implemented object-oriented framework to support interface-based design. Such extensions - design representation primitives and tool blocks - are used to implement a design entry tool named IBlaDe, which allows the collaborative creation of functional and structural models of integrated systems. The third case study regards the possibility of integration of multimedia metadata to the design data model. Such possibility is explored in the frame of an online educational and training platform.

Adoção do modelo MVNO no Brasil e consequências para a cadeia de valor de telecomunicações móveis

O modelo de negócio MVNO, acrônimo em inglês para operadoras móveis virtuais, foi introduzido no Brasil em Novembro de 2010 por uma regulamentação específica, visando aumentar a qualidade dos serviços e a competição entre as empresas do setor de Telecomunicações Móveis. O objetivo deste estudo é avaliar o fenômeno MVNO em seu estágio atual de adoção no Brasil, contrapondo as óticas dos atores de mercado, às teorias de Cadeia de Valor (PORTER, 1985), e decupagem da Cadeia de Valor (CHRISTENSEN et al, 2001; ANDERSON; WILLIAMS, 2004). Por se tratar de um fenômeno intrinsecamente ligado à desagregação de atividades de valor, em uma indústria originalmente verticalizada, a análise se concentrou nessa dinâmica, mas não se limitou a ela: o estudo também traz comparações com casos de MVNO estudados em diversos países e outras referências teóricas do campo da Tecnologia da Informação e Comunicação, tais como Economia da Informação (SHAPIRO; VARIAN, 1999), Inovação Disruptiva (CHRISTENSEN; BOWER, 1999), e Dimensões da Inovação (SAWHNEY et al, 2011). A pesquisa se baseou nas categorias conceituais da Abordagem Multinível (POZZEBON; DINIZ, 2011) – Contexto, Processo e Conteúdo – buscando conhecer os perfis e interesses de cada Grupo Social Relevante e a negociação entre os envolvidos. A partir dessa articulação, foi possível compreender o fenômeno e algumas de suas consequências para o cenário brasileiro de Telecomunicações Móveis, destacando-se entre os resultados encontrados: as linhas gerais da nova Cadeia de Valor em formação, a influência decisiva de um grupo social relevante para a adoção do modelo – os MVNE, que são integradores de MVNOs à estrutura das operadoras – e a utilização da regulação para incentivar negócios com aplicações máquina a máquina (M2M). A descrição do modelo e das características que vem assumindo no Brasil proporcionam insumos tanto para praticantes do mercado, quanto para acadêmicos. Estes últimos podem se beneficiar, além de um ponto de partida para pesquisas futuras sobre MVNO no Brasil, de uma inédita articulação da Abordagem Multinível com a teoria de Cadeia de Valor

Quebrando as regras: o poder discricionário na linha de frente do programa esportivo-social RIO 2016 um estudo sobre a situação do integrador de núcleo, um verdadeiro "sociological citizen"

Este estudo analisa o indivíduo que atua na linha de frente do RIO 2016, um programa social do Governo do Estado do Rio de Janeiro que opera 800 unidades de atendimento no Estado, com gestão da Secretaria de Estado de Esporte e Lazer. O indivíduo analisado nesta pesquisa é denominado Integrador de Núcleo Esportivo e é o responsável pela gestão de uma dessas unidades — Núcleo Esportivo — que atende em média 50 alunos de uma comunidade carente no Estado do Rio de Janeiro. Essa pesquisa analisa o Integrador de Núcleo Esportivo sob uma perspectiva inédita, entendendo-o como um agente que atua além do seu escopo burocrático de trabalho. Para esse estudo foram consideradas teorias sobre burocracia organizacional, lançando mão da literatura de Michel Crozier ―The Bureaucratic Phenomenon‖ (1964), que analisa as relações entre pessoas, grupos e poder para entender a influência da organização burocrática no indivíduo. O termo ―sociological citizen‖,desenvolvido por Silbey (2009), também foi considerado para classificar esse indivíduo que se mostra mais aplicado que outros nos serviço de seu mandato organizacional e legal. Silbey aplica também o termo ―relational regulation‖ para denominar esta forma particular de prática da ―cidadania sociológica‖ (tradução do autor), por meio da qual os agentes ―governam a lacuna existente entre as expectativas regulatórias e o desempenho requerido‖.

Making decisions in the absence of clear facts: a historical perspective

Recently, a claim has been made that executive decisions makers, far from being fact collectors, are actually fact users and integrators. As such, the claim continues, executive decision makers need help in understanding how to interpret facts, as well as guidance in making decisions in the absence of clear facts. This report justifies this claim against the backdrop of the modern history of decision making, from 1956 to the present. The historical excursion serves to amplify and clarify the claim, as well as to develop a theoretical framework for making decisions in the absence of clear facts. Two essential issues are identified that impact upon decision making in the absence of clear facts, as well criteria for decision making effectiveness under such circumstances. Methodological requirements and practical objectives round off the theoretical framework. The historical analysis enables the identification of one particular established methodology as claiming to meet the methodological requirements of the theoretical framework. Since the methodology has yet to be tried on information-poor situations, a further project is proposed that will test its validity.

A Numerical method for the semilinear stochastic transport equation

Trabalho apresentado no XXXV CNMAC, Natal-RN, 2014.

A Higher order and stable method for the numerical integration of Random Differential Equations

Trabalho apresentado no Congresso Nacional de Matemática Aplicada à Indústria, 18 a 21 de novembro de 2014, Caldas Novas - Goiás

On invariant Rings of Sylow subgroups of finite classical groups

In this thesis we study the invariant rings for the Sylow p-subgroups of the nite classical groups. We have successfully constructed presentations for the invariant rings for the Sylow p-subgroups of the unitary groups GU(3; Fq2) and GU(4; Fq2 ), the symplectic group Sp(4; Fq) and the orthogonal group O+(4; Fq) with q odd. In all cases, we obtained a minimal generating set which is also a SAGBI basis. Moreover, we computed the relations among the generators and showed that the invariant ring for these groups are a complete intersection. This shows that, even though the invariant rings of the Sylow p-subgroups of the general linear group are polynomial, the same is not true for Sylow p-subgroups of general classical groups. We also constructed the generators for the invariant elds for the Sylow p-subgroups of GU(n; Fq2 ), Sp(2n; Fq), O+(2n; Fq), O-(2n + 2; Fq) and O(2n + 1; Fq), for every n and q. This is an important step in order to obtain the generators and relations for the invariant rings of all these groups.

First-order actions: A new view

We analyse systems described by first-order actions using the Hamilton-Jacobi (HJ) formalism for singular systems. In this study we verify that generalized brackets appear in a natural way in HJ approach, showing us the existence of a symplectic structure in the phase space of this formalism.

The Faddeev-Jackiw approach and the conformal affine sl(2) Toda model coupled to the matter field

The conformal affine sl(2) Toda model coupled to the matter field is treated as a constrained system in the context of Faddeev-Jackiw and the (constrained) symplectic schemes. We recover from this theory either the sine-Gordon or the massive Thirring model, through a process of Hamiltonian reduction, considering the equivalence of the Noether and topological currrents as a constraint and gauge fixing the conformal symmetry. (C) 2000 Academic Press.

Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences

We consider a real Lagrangian off-critical submodel describing the soliton sector of the so-called conformal affine sl(3)((1)) Toda model coupled to matter fields. The theory is treated as a constrained system in the context of Faddeev-Jackiw and the symplectic schemes. We exhibit the parent Lagrangian nature of the model from which generalizations of the sine-Gordon (GSG) or the massive Thirring (GMT) models are derivable. The dual description of the model is further emphasized by providing the relationships between bilinears of GMT spinors and relevant expressions of the GSG fields. In this way we exhibit the strong/weak coupling phases and the (generalized) soliton/particle correspondences of the model. The sl(n)((1)) case is also outlined. (C) 2002 American Institute of Physics.

Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Effect of robust torus on the dynamical transport

In the present work, we quantify the fraction of trajectories that reach a specific region of the phase space when we vary a control parameter using two symplectic maps: one non-twist and another one twist. The two maps were studied with and without a robust torus. We compare the obtained patterns and we identify the effect of the robust torus on the dynamical transport. We show that the effect of meandering-like barriers loses importance in blocking the radial transport when the robust torus is present.

The Noether theorem for geometric actions and area preserving diffeomorphisms on the torus

We find that within the formalism of coadjoint orbits of the infinite dimensional Lie group the Noether procedure leads, for a special class of transformations, to the constant of motion given by the fundamental group one-cocycle S. Use is made of the simplified formula giving the symplectic action in terms of S and the Maurer-Cartan one-form. The area preserving diffeomorphisms on the torus T2=S1⊗S1 constitute an algebra with central extension, given by the Floratos-Iliopoulos cocycle. We apply our general treatment based on the symplectic analysis of coadjoint orbits of Lie groups to write the symplectic action for this model and study its invariance. We find an interesting abelian symmetry structure of this non-linear problem.