On the classification of binary shifts of finite commutant index

We provide a complete classification up to conjugacy of the binary shifts of finite commutant index on the hyperfinite II1, factor. There is a natural correspondence between the conjugacy classes of these shifts and polynomials over GF(2) satisfying a certain duality condition.

The operator algebra approach to quantum groups

A relatively simple definition of a locally compact quantum group in the C*-algebra setting will be explained as it was recently obtained by the authors. At the same time, we put this definition in the historical and mathematical context of locally compact groups, compact quantum groups, Kac algebras, multiplicative unitaries, and duality theory.

An endogenous rate of time preference, the Penrose effect, and dynamic optimality of environmental quality.

In the present paper, the endogenous theory of time preference is extended to analyze those processes of capital accumulation and changes in environmental quality that are dynamically optimum with respect to the intertemporal preference ordering of the representative individual of the society in question. The analysis is carried out within the conceptual framework of the dynamic analysis of environmental quality, as has been developed by a number of economists for specific cases of the fisheries and forestry commons. The duality principles on intertemporal preference ordering and capital accumulation are extended to the situation where processes of capital accumulation are subject to the Penrose effect, which exhibit the marginal decrease in the effect of investment in private and social overhead capital upon the rate at which capital is accumulated. The dynamically optimum time-path of economic activities is characterized by the proportionality of two systems of imputed, or efficient, prices, one associated with the given intertemporal ordering and another associated with processes of accumulation of private and social overhead capital. It is particularly shown that the dynamically optimality of the processes of capital accumulation involving both private and social overhead capital is characterized by the conditions that are identical with those involving private capital, with the role of social overhead capital only indirectly exhibited.

Pathways to quiescence: SHARDS view on the star formation histories of massive quiescent galaxies at 1.0 < z < 1.5

We present star formation histories (SFHs) for a sample of 104 massive (stellar mass M > 10^10 M_⊙) quiescent galaxies (MQGs) at z = 1.0–1.5 from the analysis of spectrophotometric data from the Survey for High-z Absorption Red and Dead Sources (SHARDS) and HST/WFC3 G102 and G141 surveys of the GOODS-North field, jointly with broad-band observations from ultraviolet (UV) to far-infrared (far-IR). The sample is constructed on the basis of rest-frame UVJ colours and specific star formation rates (sSFRs = SFR/Mass). The spectral energy distributions (SEDs) of each galaxy are compared to models assuming a delayed exponentially declining SFH. A Monte Carlo algorithm characterizes the degeneracies, which we are able to break taking advantage of the SHARDS data resolution, by measuring indices such as MgUV and D4000. The population of MQGs shows a duality in their properties. The sample is dominated (85 per cent) by galaxies with young mass-weighted ages, t_M t_M < 2 Gyr, short star formation time-scales, 〈τ〉 ∼ 60–200 Myr, and masses log(M/M_⊙) ∼ 10.5. There is an older population (15 per cent) with t_M t_M = 2–4 Gyr, longer star formation time-scales, 〈τ〉∼ 400 Myr, and larger masses, log(M/M_⊙) ∼ 10.7. The SFHs of our MQGs are consistent with the slope and the location of the main sequence of star-forming galaxies at z > 1.0, when our galaxies were 0.5–1.0 Gyr old. According to these SFHs, all the MQGs experienced a luminous infrared galaxy phase that lasts for ∼500 Myr, and half of them an ultraluminous infrared galaxy phase for ∼100 Myr. We find that the MQG population is almost assembled at z ∼ 1, and continues evolving passively with few additions to the population.

LR property of non-well-formed scales

This article studies generated scales having exactly three different step sizes within the language of algebraic combinatorics on words. These scales and their corresponding step-patterns are called non well formed. We prove that they can be naturally inserted in the Christoffel tree of well-formed words. Our primary focus in this study is on the left- and right-Lyndon factorization of these words. We will characterize the non-well-formed words for which both factorizations coincide. We say that these words satisfy the LR property and show that the LR property is satisfied exactly for half of the non-well-formed words. These are symmetrically distributed in the extended Christoffel tree. Moreover, we find a surprising connection between the LR property and the Christoffel duality. Finally, we prove that there are infinitely many Christoffel–Lyndon words among the set of non-well-formed words and thus there are infinitely many generated scales having as step-pattern a Christoffel–Lyndon word.

Robust Solutions of MultiObjective Linear Semi-Infinite Programs under Constraint Data Uncertainty

The multiobjective optimization model studied in this paper deals with simultaneous minimization of finitely many linear functions subject to an arbitrary number of uncertain linear constraints. We first provide a radius of robust feasibility guaranteeing the feasibility of the robust counterpart under affine data parametrization. We then establish dual characterizations of robust solutions of our model that are immunized against data uncertainty by way of characterizing corresponding solutions of robust counterpart of the model. Consequently, we present robust duality theorems relating the value of the robust model with the corresponding value of its dual problem.

Challenges in Lifestyle Migration Research: Reflections and Findings about the Spanish Crisis

The lifestyle migration conceptual framework is based on the motivation for moving reported by the migrants themselves. We discuss the operability of this approach, which is built on the subjective assessments of individuals. It diminishes the actual importance of economic factors and has an underlying ideological element associated with the categorisation of people according to their nationality. A comparative analysis of residential variations by nationalities between 2005 and 2010 in Alicante (Spain) shows that, when faced with the economic crisis, the so-called lifestyle migrants are changing their mobility patterns in a way similar to the rest of the migrants. This calls into question the adequacy of juxtaposing lifestyle and labour migration. Both theory and research show that this duality, instead of clarifying applied research, makes it more difficult. We argue that the lifestyle migration framework is inadequate to study changes in mobility patterns, particularly when using a quantitative approach.

Behaviours, Processes and Probabilistic Environmental Functions in H-Open Systems

The Patten’s Theory of the Environment, supposes an impotent contribution to the Theoretical Ecology. The hypothesis of the duality of environments, the creaon and genon functions and the three developed propositions are so much of great importance in the field of the Applied Mathematical as Ecology. The authors have undertaken an amplification and revision of this theory, developing the following steps: 1) A theory of processes. 2) A definition of structural and behavioural functions. 3) A probabilistic definition of the environmental functions. In this paper the authors develop the theory of behavioural functions, begin the theory of environmental functions and give a complementary focus to the theory of processes that has been developed in precedent papers.

La disoccupazione giovanile in tempo di crisi: un monito all’Europa (continentale) per rifondare il diritto del lavoro? = Youth Unemployment in Recessionary Times: a Caveat to (Continental) Europe to Reconstruct its Labour Law. WP C.S.D.L.E. "Massimo D'Antona" .INT - 91/2012

The current debate taking place in continental Europe on the need to reform labour law to reduce the duality between labour market insiders and outsiders, thus giving new employment opportunities to young people seems to be, at its best, a consequence of the crisis, or at its worst, an excuse. The considerable emphasis placed on the power of legislation to reduce youth unemployment prevents real labour market problems from being clearly identified, thus reducing the scope to adopt more effective measures. Action is certainly required to help young people during the current crisis, yet interventions should not be exclusively directed towards increased flexibility and deregulation. This paper questions the “thaumaturgic power” wrongly attributed to legislative interventions and put forward a more holistic approach to solve the problem of youth employment, by focusing on the education systems, school-to-work transition and industrial relations. As a comparative analysis demonstrates, in order to effectively tackle the issue of youth employment, it is not enough to reform labour law. High quality education systems, apprenticeship schemes, efficient placement and employment services, cooperative industrial relations and flexible wage determination mechanisms are the key to success when it comes to youth employment, not only in times of recession.

Identifying Factor Productivity from Micro-data: The case of EU agriculture. Factor Markets Working Paper No. 34, January 2013

The classical problem of agricultural productivity measurement has regained interest owing to recent price hikes in world food markets. At the same time, there is a new methodological debate on the appropriate identification strategies for addressing endogeneity and collinearity problems in production function estimation. We examine the plausibility of four established and innovative identification strategies for the case of agriculture and test a set of related estimators using farm-level panel datasets from seven EU countries. The newly suggested control function and dynamic panel approaches provide attractive conceptual improvements over the received ‘within’ and duality models. Even so, empirical implementation of the conceptual sophistications built into these estimators does not always live up to expectations. This is particularly true for the dynamic panel estimator, which mostly failed to identify reasonable elasticities for the (quasi-) fixed factors. Less demanding proxy approaches represent an interesting alternative for agricultural applications. In our EU sample, we find very low shadow prices for labour, land and fixed capital across countries. The production elasticity of materials is high, so improving the availability of working capital is the most promising way to increase agricultural productivity.

Integrating Europeans: The Political Economy and Social Aspects of Europeanization. ACES Working Papers (Curriculum Development), 2012

This course, then, investigates the effects of integration on European citizens as well as the duality of the EU as a competitive and social model. It is sensitive to the involvement of social groups, protest, and domestic politics in the study of market integration. Some of the questions we explore are: What are the effects of regulatory policy-making on social actors, how do such actors’ strategies and behaviors change as a consequence, and how to they overcome their collective action problems? Why is it that the logic of integration has at times followed a logic of “permissive consensus” while at other times it has been described as a “constraining dissensus”? What is the importance of discourse in domestic politics in order to articulate and legitimate Europeanization? How do European identities change as a consequence of policymaking as well as of protest? To what extent do ordinary Europeans matter in terms of accepting and opposing the project of European integration, how do European citizens in core and peripheral EU states experience Europeanization, and how is their involvement in the integration project to be conceptualized?

Rodolfo Kusch y la constitución de lo popular en la Argentina

De la vasta obra del filósofo argentino Rodolfo Kusch (1922-1979), quién desarrollara diversas líneas de reflexión-investigación, abordaremos sus tesis sobre la constitución de lo popular en la Argentina. Para ello nos detendremos en dos momentos: por un lado, desarrollaremos su peculiar lectura sobre el ciclo político de la independencia y sobre el período de la organización nacional-estatal argentina, centrándonos en su debate con el clásico binomio sarmientino "civilización o barbarie" y subrayando el parentesco de ciertos conceptos de nuestro autor con aportes más recientes del paradigma de la modernidad / colonialidad. En una segunda instancia, nos referiremos a la persistencia de lo indígena en la constitución de lo popular en nuestro país, en diálogo con otras posiciones del pensamiento nacional y latinoamericano, y derivaremos de allí ciertas conclusiones para la investigación en ciencias sociales.

Education and Development : A spatial-econometric approach on spatial change and permanence in southern Brazil

The Brazilian state of Paraná exhibits a violent geography of inequality and duality, hosting both the most developed city in the country, internationally recognized by its urban and environmental innovations, and southern Brazil’s most concentrated cluster of poverty and underdevelopment. Over the course of the past decades, the state underwent a major economic transformation, modernizing and increasing its industrial structure and shifting to the service sector with a larger participation of the knowledge economy. This study is concerned on the interplay between formal education and socioeconomic development during this process, and above all its spatial character. It attempts make sense of the rich literature on education and growth and/or development, discussing it through the lenses of human geography and planning. In order for the analysis to be possible, this study created a consistent database of municipal scores of education over the course of 40 years, dealing with changing census methodologies and municipal boundaries. Making use of modern exploratory spatial data analysis combined with spatial regressions, the study identifies a clustered, time-persistent interplay between education and development that is stronger for low and basic levels of education. Moreover, it provides evidence that not only education is a predictor of future development, but also that analyses of this kind must take into consideration spatial autocorrelation in order to be accurate.

Governança corporativa e custo de agência: uma visão do mercado brasileiro

Esse trabalho investiga empiricamente a relação entre custo de agência e as medidas de monitoramento interno disponíveis aos investidores brasileiros nas empresas nacionais, utilizando amostras de companhias abertas entre os anos de 2010 e 2014, totalizando 134 empresas analisadas e 536 observações. Para medir tal relação, foram utilizadas, como variáveis de monitoramento interno, informações sobre a remuneração variável dos executivos, entre elas o uso de outorgas de opções de compra de ações, a composição do conselho de administração, dando ênfase à representatividade dos conselheiros independentes e à dualidade entre Chairman e CEO, e o percentual do capital social das companhias que está sob propriedade dos executivos. Como proxy para custo de agência, foram utilizados os indicadores Asset Turnover Ratio e General & Administrative Expenses (G&A) como percentual da Receita Líquida. Neste contexto, foram estabelecidas duas hipóteses de pesquisa e estimados modelos de regressão em painel controlados por efeitos fixos de tempo e empresa, empregando como variável dependente as variáveis proxy do custo de agência e utilizando as variáveis endividamento e tamanho das empresas como variáveis de controle. Os resultados dos modelos demonstram que, na amostra selecionada, há uma relação positiva e significativa entre o percentual da remuneração variável e as proxies de custo de agência, comportamento este contrário ao esperado originalmente. Conclui-se assim que as empresas que apresentam uma maior composição variável no total remunerado ao executivo, incorrem em um maior custo de agência, o que leva à conclusão de que tais ferramentas não são boas estratégias de alinhamento de interesses entre executivos e acionistas. As demais variáveis de monitoramento interno não apresentaram significância.

Price stabilization and the risk-averse firm

An analytically simple and tractable approach to firm-level welfare analysis of complete and partial mean-preserving price stabilization for producers with general risk-averse preferences facing a stochastic technology is developed. Necessary and sufficient conditions for price stabilization to be welfare enhancing are derived under different assumptions of the producer's preferences and the producer's technology. Existing stabilization results for the risk-averse firm are shown to be corollaries of these more general results.