Hyperplane arrangements, interval orders, and trees.

A hyperplane arrangement is a finite set of hyperplanes in a real affine space. An especially important arrangement is the braid arrangement, which is the set of all hyperplanes xi - xj = 1, 1

Propriedades magnéticas de trímeros de FexCo1-x depositados em Pt(111)

Quais propriedades magnéticas são modificadas quando se agrupam átomos de Fe/Co para formar estruturas quasi-2D, se comparadas aos nanofios (quasi-1D) de FexCo1-x? E como estas propriedades reagem com a variação da proporção de Fe/Co nos aglomerados? A fim de responder a estas questões, trímeros de FexCo1-x depositados em Pt(111) são investigados utilizando o método de primeiros princípios Real Space-Linear Muffin-Tin Orbital-Atomic Sphere Approximation (RS-LMTO-ASA) no âmbito da Teoria do Funcional da Densidade (DFT). Diferentes configurações de trímeros triangulares são consideradas, variando-se as posições e a concentração dos átomos de Fe/Co. Neste trabalho, demonstra-se a ocorrência de uma tendência não-linear estritamente decrescente dos momentos orbitais médios como função da concentração de Fe, distinta do encontrado tanto para os nanofios de FexCo1-x (dependência linear) quanto para a monocamada correspondente (dependência não-linear). Os resultados obtidos mostram ainda que os momentos orbitais variam com o ambiente local e com a direção de magnetização, especialmente quando associados aos átomos de Co, em concordância com publicações anteriores. A mudança de dimensionalidade quasi-1D (nanofios) para quasi-2D (trímeros compactos) não afeta o comportamento dos momentos de spin, que permanecem descritos por uma função linear com respeito à proporção de Fe/Co. Ambos o formato e a concentração de Fe nos sistemas apresentam um papel importante nos valores de energia de anisotropia magnética. Em adição, observou-se que o subtrato de Pt opera ativamente na definição das propriedades magnéticas dos aglomerados. Embora todas as configurações lineares e compactas dos aglomerados de FexCo1-x sejam estáveis e exibam interações fortemente ferromagnéticas entre os primeiros vizinhos, nem todas revelaram o ordenamento colinear como estado fundamental, apresentando uma interação de Dzyaloshinskii-Moriya não-desprezível induzida pelo acoplamento spin-órbita. Estes casos específicos são: o trímero triangular de Co puro e o trímero linear (nanofio) de Fe puro, para o qual foi verificado o acoplamento do tipo Ruderman-Kittel-Kasuya-Yosida entre os átomos de Fe constituintes. Os resultados obtidos contribuem para o entendimento de quais mecanismos definem o magnetismo nos trímeros de FexCo1-x/Pt(111), e discutem as questões presentes atualmente na literatura no contexto destes sistemas.

La cooperación triangular: los donantes tradicionales ante la cooperación Sur-Sur

La cooperación triangular constituye una modalidad novedosa con relevantes potencialidades para el sistema internacional de ayuda y para la cooperación española. Además de constituirse como un instrumento mediante el que impulsar la cooperación Sur-Sur, de creciente interés en la nueva arquitectura de la ayuda, le otorga a la cooperación española claras oportunidades para dar contenido práctico a la agenda con los países de renta media y, específicamente, con América Latina. Conocedora de estas implicaciones, España inició su andadura en esta modalidad de ayuda en 2005, con una actividad centrada en los países latinoamericanos. Sin embargo, no existen estudios que analicen estas intervenciones y sus implicaciones. Esto es lo que motivó un estudio promovido por la Fundación Carolina sobre dos experiencias concretas de cooperación triangular. El presente artículo presenta las principales enseñanzas extraídas de ese análisis sobre el terreno, al tiempo que recoge algunas orientaciones que puedan ser de utilidad para la práctica futura en este ámbito.

A public key cryptosystem based on block upper triangular matrices

We propose a public key cryptosystem based on block upper triangular matrices. This system is a variant of the Discrete Logarithm Problem with elements in a finite group, capable of increasing the difficulty of the problem while maintaining the key size. We also propose a key exchange protocol that guarantees that both parties share a secret element of this group and a digital signature scheme that provides data authenticity and integrity.

Money for structural reforms in the eurozone: making sense of contractual arrangements. Egmont Paper 57, May 2013

Executive Summary. Both the Commission’s proposal for a ‘Competitiveness and Convergence Instrument’ and the ‘contractual arrangement’ presented by President Van Rompuy share a common concept: associating EU money with national structural reforms under a binding arrangement. The targeted ‘structural reforms’ are the labour market reforms and product and services market reforms in eurozone ‘peripheral’ countries facing the most severe external imbalances. Their implementation would speed up and facilitate the ‘internal devaluation’ process of these countries. In the worst case scenario, failure to adopt the necessary reforms and to adjust wages and prices downwards may lead the most vulnerable countries to leave the eurozone under social and political pressure. Contracts seek to reduce this risk by increasing compliance with the country-specific recommendations for structural reforms issued by the EU institutions within the European Semester, and in particular with the Macroeconomic Imbalance Procedure (MIP). As for the financial support, it follows two different, albeit overlapping rationales. First, the perspective of obtaining EU funding would incentivize the governments of vulnerable countries to adopt reforms that would bear a high political and social cost in the short term. That is, without some form of incentive, it is unlikely that the necessary reforms would be undertaken and this could have significant negative consequences for the EMU as a whole. The second rationale amounts to outright solidarity: EU support is needed to cushion the inevitable socio-economic costs implied not only by the structural reform, but also by the internal devaluation taking place. To make sense of contractual arrangements, some points should be considered in future discussions: 1. Contracts on a voluntary basis only: Contracts cannot be mandatory unlike initially suggested in the Van Rompuy report. This stems not only from the inherent definition of a ‘contract’ – where mutual consent is key – but also from the non-binding nature of the preventive arm of the MIP. Making the country-specific recommendations issued by the EU institutions systematically binding would imply transfers of sovereignty from the national to the EU level that go well beyond the present discussion. Instead, contracts would introduce the possibility of making the preventive arm binding for some countries where corrections are most needed and urgent for the EMU as a whole.

Free movement of workers in the EU. Legal aspects of the transitional arrangements. ZEI Discussion Paper No. 217, 2013

From the Introduction. There are four fundamental freedoms which lay the foundation of the European Union. Those are the free movement of goods, free movement of capital, free movement of services and free movement of persons. They guarantee the existence and effective functioning of an area without internal borders within which goods, capital, services and people move freely. Despite the pivotal importance of these freedoms, there are cases where some freedoms can be partially or fully restricted within the territory of some member states or the Union as a whole. This thesis is going to analyze the restrictions of one of these freedoms: the free movement of persons, resulting from the arrangements applying to new member states. The focus will be the free movement of workers from new to old member states for a transitional period following the date of accession.