On the Faria's inequality for the Laplacian and signless Laplacian spectra: a unified approach

Let p(G)p(G) and q(G)q(G) be the number of pendant vertices and quasi-pendant vertices of a simple undirected graph G, respectively. Let m_L±(G)(1) be the multiplicity of 1 as eigenvalue of a matrix which can be either the Laplacian or the signless Laplacian of a graph G. A result due to I. Faria states that mL±(G)(1) is bounded below by p(G)−q(G). Let r(G) be the number of internal vertices of G. If r(G)=q(G), following a unified approach we prove that mL±(G)(1)=p(G)−q(G). If r(G)>q(G) then we determine the equality mL±(G)(1)=p(G)−q(G)+mN±(1), where mN±(1) denotes the multiplicity of 1 as eigenvalue of a matrix N±. This matrix is obtained from either the Laplacian or signless Laplacian matrix of the subgraph induced by the internal vertices which are non-quasi-pendant vertices. Furthermore, conditions for 1 to be an eigenvalue of a principal submatrix are deduced and applied to some families of graphs.

Marriage and gender inequality: work–family arrangements of Portuguese and British highly qualified women

This article examines work–family reconciliation processes in order to understand if, over the course of marital life, women become socially closer or further away from their partner. Drawing on work–life interviews with highly qualified women in Portugal and Britain, we compare these processes in two societies with different historical and social backgrounds. Findings reveal three main configurations of social (in)equality which emerge during married life: growing inequality in favour of the man, in favour of the woman or equality between spouses. With due attention to the importance of national specific factors, we present three main conclusions. First, (in) equality is built up over the course of marital life and female strategies for reconciling family and work are at the core of this process. Second, the national specificities can mould the effects of cross-national gender mechanisms. Third, the intersection between cross-cultural phenomena such as conservative attitudes towards domestic work and national specificities (such as the availability of part-time options) is a rather complex process which needs further research.

Financial development and income inequality: evidence from African countries

This paper present empirical evidence on how financial development is related to income distribution in a panel data set covering 22 African countries for the period between 1990 to 2004. A dynamic panel estimation technique (GMM) is employ and the findings indicate that income inequality decrease as economies develop their financial sector, which is consistent with the bulk of theoretical and empirical research. The result also confirm that educational attainment play a significant role in making income distribution more equal. We also find no evidence supporting the Greenwood-Jovanovic hypothesis of an inverted-U- shaped relationship between financial sector development and inequality.

The role of income inequality on fiscal multipliers

A Work Project, presented as part of the requirements for the Award of a Masters Double Degree in Economics from the Nova School of Business and Economics and University of Maastricht

Gendered inequality in academia : exploring women's experiences during the pre-tenure stages of their academic career

This research uses the work of Pierre Bourdieu as a starting point for an examination of women's experiences during the pre-tenure stages of their academic career. This thesis is based on six semi-structured interviews with six tenured academic women in the Faculty of Social Sciences at a medium sized Ontario University. I explore the ranges of experiences that the women report encountering during their pre-tenure years, as well as demonstrate how these experiences are gendered. Through my analysis, I find that women's experiences in academia are shaped by a culture that legitimates their existence in the academic field insofar as they embody the dispositions that reinforce the gendered structure of the academic institution. I argue that being measured according to a prototypical male standard creates difficulties for academic women during their pre-tenure years.

Labor Market Institutions and Gender Differences in Wage Inequality.

In this paper, we present graphical and quantitative evidence on the important role played by changes in labor market institutions on the rise in wage inequality in the United States during the 1980s. We show that the decline in the real value of the minimium wage and in the rate of unionization explains over a third of the rise in inequality among men.

Market failure, inequality and redistribution

We consider the following question: does market failure justify redistribution? We argue that the general answer to this question is no, in the sense that policies for correcting market failures do not aim at producing a "desirable" income distribution. This follows from the fact that, by construction, market failure is a deviation from "efficiency" that does not involve any notion of a desirable distribution of welfare (or income). However, there are special cases where a "corrective measure" involving redistribution can offset a market failure, so this can provide a form of efficiency- based justification for redistribution.

On Truncated Versions of Certain Measures of Inequality and Stability

The present study focuses attention on defining certain measures of income inequality for the truncated distributions and characterization of probability distributions using the functional form of these measures, extension of some measures of inequality and stability to higher dimensions, characterization of bivariate models using the above concepts and estimation of some measures of inequality using the Bayesian techniques. The thesis defines certain measures of income inequality for the truncated distributions and studies the effect of truncation upon these measures. An important measure used in Reliability theory, to measure the stability of the component is the residual entropy function. This concept can advantageously used as a measure of inequality of truncated distributions. The geometric mean comes up as handy tool in the measurement of income inequality. The geometric vitality function being the geometric mean of the truncated random variable can be advantageously utilized to measure inequality of the truncated distributions. The study includes problem of estimation of the Lorenz curve, Gini-index and variance of logarithms for the Pareto distribution using Bayesian techniques.

Poverty, Inequality and Natural Resources Degradation

The present study is an attempt to understand the link between natural resource degradation and poverty among people dependent on these resources. This is done by examining the impact of depletion of marine resources on the livelihood and socio-economic condition of the small-scale marine fishery community in South Kerala. In Kerala, nearly ten lakh fisherfolk depend on the marine fishery resources for their livelihood. The overall level of education of the small-scale fishing community is lower than that of the State’s rural population. Almost all the households surveyed, is one way or other, depend on fishery resources for livelihood. Low levels percapita income and high levels of inequality imply the existence of a large proportion of poor people in the community who are vulnerable to external shocks. The study reveals that poverty was comparatively higher among households with no fishing assets, with only one earner, with more than two children, and depending entirely on pensions/remittances. The study has not provided any evidence to show that poverty in the community is the result of depletion of marine resources.

Bieberbach's Conjecture, the de Branges and Weinstein Functions and the Askey-Gasper Inequality

The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach in 1916 [Bieberbach1916]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function which maps the unit disk onto a radially slit plane. The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Louis de Branges in 1984 [deBranges1985] when some experts were rather trying to disprove it. It turned out that an inequality of Askey and Gasper [AskeyGasper1976] about certain hypergeometric functions played a crucial role in de Branges' proof. In this article I describe the historical development of the conjecture and the main ideas that led to the proof. The proof of Lenard Weinstein (1991) [Weinstein1991] follows, and it is shown how the two proofs are interrelated. Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer algebra come into the play, and computer demonstrations are given that show how important parts of the proofs can be automated.

Social Inequality and Social Policy outside the OECD

Almost all Latin American countries are still marked by extreme forms of social inequality – and to an extent, this seems to be the case regardless of national differences in the economic development model or the strength of democracy and the welfare state. Recent research highlights the fact that the heterogeneous labour markets in the region are a key source of inequality. At the same time, there is a strengthening of ‘exclusive’ social policy, which is located at the fault lines of the labour market and is constantly (re-)producing market-mediated disparities. In the last three decades, this type of social policy has even enjoyed democratic legitimacy. These dynamics challenge many of the assumptions guiding social policy and democratic theory, which often attempt to account for the specificities of the region by highlighting the purported flaws of certain policies. We suggest taking a different perspective: social policy in Latin American should not be grasped as a deficient or flawed type of social policy, but as a very successful relation of political domination. ‘Relational social analysis’ locates social policy in the ‘tension zone’ constituted by the requirements of economic reproduction, demands for democratic legitimacy and the relative autonomy of the state. From this vantage point, we will make the relation of domination in question accessible for empirical research. It seems particularly useful for this purpose to examine the recent shifts in the Latin American labour markets, which have undergone numerous reforms. We will examine which mechanisms, institutions and constellations of actors block or activate the potentials of redistribution inherent in such processes of political reform. This will enable us to explore the socio-political field of forces that has been perpetuating the social inequalities in Latin America for generations.

Essays on economics of education and inequality

El documento resume los resultados de los tres ensayos sobre economía de la educación y de igualdad de oportunidades que se realizaron para el caso de Colombia.