On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

2000 Mathematics Subject Classification: 44A15, 44A35, 46E30

Theorems on the Convergence of Series in Generalized Lommel-Wright Functions

Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20

On the Convergence of (0,1,2) Interpolation

2000 Mathematics Subject Classification: 41A05.

The Graves Theorem Revisited II: Robust Convergence of the Newton Method

AMS subject classification: 65J15, 47H04, 90C30.

Viability, Optimality and Stability of Dynamical Systems and Estimation of Convergence of Numerical Schemes

AMS subject classification: 49N35,49N55,65Lxx.

On the convergence of the method of successive averages for calculating user equilibrium in traffic networks

Peer reviewed

The Spatial Convergence of Knowledge in Portugal

Human resources are an essential element in territorial development. When these are characterized by a high level of training, they also enhance a number of effects in fundamental areas of binomial territorial-social cohesion. In this respect, the existence of higher education institutions throughout the territory allows the spread of human resources’ qualification but, by itself, does not guarantee the retention of these resources in different regions. Thus, the objective of this paper is to undertake a spatial analysis of convergence of knowledge through studying the evolution of the percentage of population with higher education in the periods elapsed between the last three censuses in Portugal. Although that percentage has risen appreciably, the convergence is shown to be (very) insignificant.

On the spatial convergence of (un)employment in Portugal

Regarding the EU policies of territorial cohesion is common to assume that, having the same been successful (in Portugal), regional disparities decreased. The purpose of this article is to assess the veracity of this allegation, for that considering the values of employment and unemployment rates by municipalities, determined in the last two censuses held in Portugal, i.e. 2001 and 2011. In doing so, spatial econometric techniques are used, namely local indicators of spatial association and spatial clusters, in order to better understand the eventual process of spatial convergence that may have occurred in Portugal in that period. The results point towards a spatial convergence of employment rates (both in total and by genres) and also of female unemployment rates but a spatial divergence of male unemployment rates.

Worldwide convergence of IFRS: Evidence from the global automotive industry

Worldwide convergence of International Financial Reporting Standards (IFRS), ongoing since 2002, is a requirement if international comparability between publicly listed companies is to be ensured. Convergence is examined from the point of view of regulators, accountants, and users of financial information. For this purpose, data on 534 companies from the global automotive industry is used. This paper concludes that worldwide convergence is mostly being effective. Its triumph, however, varies depending on the set of accounting standards being compared to IFRS. Options within IFRS, national tax regulation, cultural differences, different company strategies and country resistance are found to hinder convergence.

Evaluating tests for convergence of economic series using Monte Carlo methods with an application to real GDP's per head.

Doutoramento em Economia.

Convergence of gender roles in a globalized world: international comparison of family and gender roles

This paper examines emerging and changing gender roles in different regions of the world. Using data on 12 countries from last three ISSP Special Modules “Family and Changing Gender Roles” (1994, 2002 and 2012), we compare the evolution of gender roles about motherhood and fatherhood and its relation with the extension of women as breadwinners around the world: four Western Europe countries, representatives of different models of Welfare State (Germany, United Kingdom, Norway and Spain) plus United States, three former Soviet nations (Russia, Poland and Czech Republic), two Latin American countries (Chile and Mexico) and two Asian nations (Japan and Taiwan). Data show that family change (measured both in terms of attitudes and social practices) is spreading from Western contexts to other regions of the world, although the pace of this change varies from one country to another, depending on cultural, economic and political factors.

RATE OF CONVERGENCE OF MAXIMUM LIKELIHOOD ESTIMATORS UNDER RELAXED SMOOTHNESS CONDITIONS ON THE LIKELIHOOD FUNCTION

This report reviews literature on the rate of convergence of maximum likelihood estimators and establishes a Central Limit Theorem, which yields an O(1/sqrt(n)) rate of convergence of the maximum likelihood estimator under somewhat relaxed smoothness conditions. These conditions include the existence of a one-sided derivative in θ of the pdf, compared to up to three that are classically required. A verification through simulation is included in the end of the report.

Analysis of a hyper-diverse seed dispersal network: modularity and underlying mechanisms

Mutualistic interactions involving pollination and ant-plant mutualistic networks typically feature tightly linked species grouped in modules. However, such modularity is infrequent in seed dispersal networks, presumably because research on those networks predominantly includes a single taxonomic animal group (e.g. birds). Herein, for the first time, we examine the pattern of interaction in a network that includes multiple taxonomic groups of seed dispersers, and the mechanisms underlying modularity. We found that the network was nested and modular, with five distinguishable modules. Our examination of the mechanisms underlying such modularity showed that plant and animal trait values were associated with specific modules but phylogenetic effect was limited. Thus, the pattern of interaction in this network is only partially explained by shared evolutionary history. We conclude that the observed modularity emerged by a combination of phylogenetic history and trait convergence of phylogenetically unrelated species, shaped by interactions with particular types of dispersal agents.

Analysis of a hyper-diverse seed dispersal network: modularity and underlying mechanisms

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A Class of Channels Resulting in Ill-Convergence for CMA in Decision Feedback Equalizers

This paper analyzes the convergence of the constant modulus algorithm (CMA) in a decision feedback equalizer using only a feedback filter. Several works had already observed that the CMA presented a better performance than decision directed algorithm in the adaptation of the decision feedback equalizer, but theoretical analysis always showed to be difficult specially due to the analytical difficulties presented by the constant modulus criterion. In this paper, we surmount such obstacle by using a recent result concerning the CM analysis, first obtained in a linear finite impulse response context with the objective of comparing its solutions to the ones obtained through the Wiener criterion. The theoretical analysis presented here confirms the robustness of the CMA when applied to the adaptation of the decision feedback equalizer and also defines a class of channels for which the algorithm will suffer from ill-convergence when initialized at the origin.