The Paralympic Village: a barrier-free city

Article describing the design standards and their use for Paralympic facilities. This article was published in the book entitled Olympic Villages: a hundred years of urban planning and shared experiences compiling the papers given at the 1997 International Symposium on International Chair in Olympism (IOC-UAB).

Subgroups of small index in Aut(Fn) and Kazhdan's property (T)

We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Aut(F3) and infinite abelianization. This implies that Aut(F3) does not have Kazhdan’s property (T) (see [3] and [6] for another proofs). We proved also that every subgroup of finite index in Aut(Fn), n &= 3, which contains the subgroup of IA-automorphisms, has a finite abelianization.

Brown representability does not come for free

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On the intersection of free subgroups in free products of groups

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Free Mobility and Taste-Homogeneity of Jurisdiction Structures

We consider a population of agents distributed on the unit interval. Agents form jurisdictions in order to provide a public facility and share its costs equally. This creates an incentive to form large entities. Individuals also incur a transportation cost depending on their location and that of the facility which makes small jurisdictions advantageous. We consider a fairly general class of distributions of agents and generalize previous versions of this model by allowing for non-linear transportation costs. We show that, in general, jurisdictions are not necessarily homogeneous. However, they are if facilities are always intraterritory and transportation costs are superadditive. Superadditivity can be weakened to strictly increasing and strictly concave when agents are uniformly distributed. Keywords: Consecutiveness, stratification, local public goods, coalition formation, country formation. JEL Classification: C71 (Cooperative Games), D71 (Social Choice; Clubs; Committees; Associations), H73 (Interjurisdictional Differentials and Their Effects).

On uniform conjugators in torsion-free hyperbolic groups

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Measuring intergenerational earnings mobility in Spain: a selection-bias-free approach

This paper analyses intergenerational earnings mobility in Spain correcting for different selection biases. We address the co-residence selection problem by combining information from two samples and using the two-sample two-stage least square estimator. We find a small decrease in elasticity when we move to younger cohorts. Furthermore, we find a higher correlation in the case of daughters than in the case of sons; however, when we consider the employment selection in the case of daughters, by adopting a Heckman-type correction method, the diference between sons and daughters disappears. By decomposing the sources of earnings elasticity across generations, we find that the correlation between child's and father's occupation is the most important component. Finally, quantile regressions estimates show that the influence of the father's earnings is greater when we move to the lower tail of the offspring's earnings distribution, especially in the case of daughters' earnings.

Cognition, Resources, and Institutions in the Explanation of Attitudes to Free Trade

This article proposes a framework for the analysis of attitudes to foreign trade policies that challenges the traditional skill-endowment approach. The traditional approach assumes informed individuals who calculate the costs and benefits of alternative policies. We propose that individuals lack information and that their positions rest on economic vulnerability, as mediated through risk-aversion. We also stress the role of environmental signals and political endorsements in guiding individuals' views on trade policy. We test this alternative approach with a Spanish survey conducted in May 2009 and the ISSP survey conducted in 2003 in a large number of less developed and more developed countries. The Spanish data show that the population is largely uninformed and that their ideas about the consequences of free trade policy do not explain attitudes among different socio-demographic groups. Meanwhile, the ISSP data contradict important aspects of the traditional approach and are consistent with the alternative approach.

Bounding the residual finiteness of free groups

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Statistical properties of subgroups of free groups

The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k-tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though equally natural point of view: we investigate the statistical properties of the same objects, but with respect to the so-called graph-based distribution, recently introduced by Bassino, Nicaud and Weil. Here, subgroups (and finite presentations) are determined by randomly chosen Stallings graphs whose number of vertices tends to infinity. Our results show that these two distributions behave quite differently from each other, shedding a new light on which properties of finitely generated subgroups can be considered frequent or rare. For example, we show that malnormal subgroups of a free group are negligible in the raph-based distribution, while they are exponentially generic in the word-based distribution. Quite surprisingly, a random finite presentation generically presents the trivial group in this new distribution, while in the classical one it is known to generically present an infinite hyperbolic group.

Is the Spanish Inheritance and Gift Tax incompatible with the free movement of workers and capital?: The reasoned opinion of the EU Commission IP/10/513

The aim of my speech is answering to the question if the Spanish Inheritance and Gift Tax is incompatible with the free movement of workers and capital. We are going to pay special attention to the European Commission’s request to Spain to change its Inheritance and Gift Tax provisions for Non-Residents or Assets held abroad. In order to answer to the question mentioned above five points will be explained. At first place I am going to describe the infrengement procedure established in the Article 258 that the EU Commission can follow when a Member State doesn’t comply with Community Law. At second place, we are going to explain what is the content of the EU Commission delivered on 5th of may 2010 regarding the spanish Inheritance and Gift Tax. Then, we will analise what establishes the Community Law regarding the freedom of workers and capital and how they are understood by the EU Court of Justice in similar cases. Finally, we are going to provide possible amendments that Spain could undertake.

The eta invariant and equivariant index of transversally elliptic operators

We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a G-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications, we obtain an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years.

Gender gap index in Spain by regions

Every year, the World Economic Forum publishes the World Gender Gap Report mainly based on the results of the Global Gender Gap Index (GGGI) computed by country. This index is made out of four subindexes to capture the magnitude of the gender gap in 4 areas: educational attainment, economic participation and opportunity, political empowerment, and health and survival; its methodology was reformed in 2006. In this paper we adapt the GGGI to construct a Regional Gender Gap Index (RGGI) and we compute it by regions (Comunidades Autónomas) in Spain with 2006 data. The RGGI could be applied to other regions. Results of the RGGI show that not only are there gender gap differences between Spanish regions in Spain, but that there are at the political empowerment and economic participation and opportunity categories that those differences are strongest. Geographic distribution of the gender gap shows that the deepest gaps are, in general, located in the northern regions (Euskadi, with a high score, and Murcia and Extremadura, with low scores, being exceptions); this is mainly due to the poor participation in politics of women in those regions.

The eta invariant and equivariant index of transversally elliptic operators

We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a G-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications, we obtain an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years.