Failure detectors and communication efficiency in the crash and general omisión failure models

122 p.

Exact solutions and transformation properties of nonlinear partial differential equations from general relativity

Various families of exact solutions to the Einstein and Einstein-Maxwell field equations of General Relativity are treated for situations of sufficient symmetry that only two independent variables arise. The mathematical problem then reduces to consideration of sets of two coupled nonlinear differential equations.

The physical situations in which such equations arise include: a) the external gravitational field of an axisymmetric, uncharged steadily rotating body, b) cylindrical gravitational waves with two degrees of freedom, c) colliding plane gravitational waves, d) the external gravitational and electromagnetic fields of a static, charged axisymmetric body, and e) colliding plane electromagnetic and gravitational waves. Through the introduction of suitable potentials and coordinate transformations, a formalism is presented which treats all these problems simultaneously. These transformations and potentials may be used to generate new solutions to the Einstein-Maxwell equations from solutions to the vacuum Einstein equations, and vice-versa.

The calculus of differential forms is used as a tool for generation of similarity solutions and generalized similarity solutions. It is further used to find the invariance group of the equations; this in turn leads to various finite transformations that give new, physically distinct solutions from old. Some of the above results are then generalized to the case of three independent variables.

Distributed optimization in power networks and general multi-agent systems

The dissertation studies the general area of complex networked systems that consist of interconnected and active heterogeneous components and usually operate in uncertain environments and with incomplete information. Problems associated with those systems are typically large-scale and computationally intractable, yet they are also very well-structured and have features that can be exploited by appropriate modeling and computational methods. The goal of this thesis is to develop foundational theories and tools to exploit those structures that can lead to computationally-efficient and distributed solutions, and apply them to improve systems operations and architecture.

Specifically, the thesis focuses on two concrete areas. The first one is to design distributed rules to manage distributed energy resources in the power network. The power network is undergoing a fundamental transformation. The future smart grid, especially on the distribution system, will be a large-scale network of distributed energy resources (DERs), each introducing random and rapid fluctuations in power supply, demand, voltage and frequency. These DERs provide a tremendous opportunity for sustainability, efficiency, and power reliability. However, there are daunting technical challenges in managing these DERs and optimizing their operation. The focus of this dissertation is to develop scalable, distributed, and real-time control and optimization to achieve system-wide efficiency, reliability, and robustness for the future power grid. In particular, we will present how to explore the power network structure to design efficient and distributed market and algorithms for the energy management. We will also show how to connect the algorithms with physical dynamics and existing control mechanisms for real-time control in power networks.

The second focus is to develop distributed optimization rules for general multi-agent engineering systems. A central goal in multiagent systems is to design local control laws for the individual agents to ensure that the emergent global behavior is desirable with respect to the given system level objective. Ideally, a system designer seeks to satisfy this goal while conditioning each agent’s control on the least amount of information possible. Our work focused on achieving this goal using the framework of game theory. In particular, we derived a systematic methodology for designing local agent objective functions that guarantees (i) an equivalence between the resulting game-theoretic equilibria and the system level design objective and (ii) that the resulting game possesses an inherent structure that can be exploited for distributed learning, e.g., potential games. The control design can then be completed by applying any distributed learning algorithm that guarantees convergence to the game-theoretic equilibrium. One main advantage of this game theoretic approach is that it provides a hierarchical decomposition between the decomposition of the systemic objective (game design) and the specific local decision rules (distributed learning algorithms). This decomposition provides the system designer with tremendous flexibility to meet the design objectives and constraints inherent in a broad class of multiagent systems. Furthermore, in many settings the resulting controllers will be inherently robust to a host of uncertainties including asynchronous clock rates, delays in information, and component failures.

Descripción y defensa de la lengua vasca durante los siglos XVI y XVII

Ed. por Antonio Manuel González Carrillo

El sector agrario guipuzcoano en la encrucijada de los siglos XVI y XVII

[ES]La presente investigación pretende analizar la situación del sector agrario guipuzcoano durante los siglos XVI y XVII, período en el que el sector agropecuario guipuzcoano experimentó una serie de cambios profundos, adoptando una nueva fisionomía, que se consolidó durante los siglos XVIII y XIX, principalmente debido al impacto de la expansión del maíz. Lejos de generalizar a todo el territorio las diferentes dinámicas, se intentará analizar la geografía y ritmo de dichos cambios y transformaciones; la diversidad de situaciones fue importante, teniendo en cuenta que se partía de diferentes condiciones ortográficas, climáticas y económicas.

Yantares de palacio en la Corte de los Reyes de Navarra y comilonas de aldea (siglos XIV-XV)

Conferencia impartida en Alegria-Dulantzi (Alava) el 26 de enero de 2013.

Where Tori fear to tread : hypermassive neutron star remnants and absolute event horizons Or topics in computational general relativity

Computational general relativity is a field of study which has reached maturity only within the last decade. This thesis details several studies that elucidate phenomena related to the coalescence of compact object binaries. Chapters 2 and 3 recounts work towards developing new analytical tools for visualizing and reasoning about dynamics in strongly curved spacetimes. In both studies, the results employ analogies with the classical theory of electricity and magnitism, first (Ch. 2) in the post-Newtonian approximation to general relativity and then (Ch. 3) in full general relativity though in the absence of matter sources. In Chapter 4, we examine the topological structure of absolute event horizons during binary black hole merger simulations conducted with the SpEC code. Chapter 6 reports on the progress of the SpEC code in simulating the coalescence of neutron star-neutron star binaries, while Chapter 7 tests the effects of various numerical gauge conditions on the robustness of black hole formation from stellar collapse in SpEC. In Chapter 5, we examine the nature of pseudospectral expansions of non-smooth functions motivated by the need to simulate the stellar surface in Chapters 6 and 7. In Chapter 8, we study how thermal effects in the nuclear equation of state effect the equilibria and stability of hypermassive neutron stars. Chapter 9 presents supplements to the work in Chapter 8, including an examination of the stability question raised in Chapter 8 in greater mathematical detail.

Market Instruments and CO2 Mitigation: A General Equilibrium Analysis for Spain

25 p.

Autonomia da vontade, consensualismo e arbitragem: A extensão da cláusula compromissória a partes não-signatárias fundamentada na teoria dos grupos de sociedades. A prática da Corte Internacional de Arbitragem da Câmara de Comércio Internacional (CCI) e sua compatibilidade com o ordenamento jurídico brasileiro

A prática da arbitragem comercial internacional tem se deparado, há pelos menos quatro décadas, com a problemática da extensão da cláusula compromissória a uma parte não-signatária, integrante do mesmo grupo de sociedades a que pertence uma das partes integrantes da convenção, em razão do comportamento adotado pela parte não-signatária nas fases de negociação do contrato, execução ou extinção. Nesse sentido, a prática da Corte Internacional de Arbitragem da Câmara de Comércio Internacional dos últimos trinta anos e reiteradas decisões judiciais em países de diferentes tradições jurídicas como a França, Suíça e Estados Unidos têm se manifestado favoravelmente a essa extensão subjetiva da convenção de arbitragem. O estudo da doutrina nacional e da jurisprudência do Superior Tribunal de Justiça sobre os grupos de sociedades e seus efeitos, e a análise detida de diversos precedentes do Superior Tribunal de Justiça e do Supremo Tribunal Federal sobre a homologação de sentenças arbitrais estrangeiras, revelam a compatibilidade da referida prática arbitral internacional com o ordenamento jurídico brasileiro.