Infinite index subgroups and finiteness properties of intersections of geometrically finite groups

We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.

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.

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.

Index theory for basic Dirac operators on Riemannian foliations

In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs.

When the mummy is digital : preservation and dissemination

Most educational institutions include nowadays a digital repository as part of their development and positioning strategy. The main goals of a digital repository are preservation and dissemination, which are some how contradictory, especially if the repository follows an open approach, as it is designed, built and managed from an institutional perspective, although it is intended to be used by teachers and learners. This fact may lead to a low level of usage, as final users are not able to integrate the learning object repository into their learning process. In this paper we will discuss how to promote open educational resources by connecting open repositories with open social networks, bridging the gap between resources and final users (teachers and learners).

WePreserve 2009: DPE/Planets/CASPAR/nestor Joint Training Event: The Preservation challenge: basic concepts and practical applications (Barcelona, 23-27 març 2009)

Reseña del congreso WePreserve 2009 que tuvo lugar los pasados 23 al 27 de marzo en Barcelona, organizadopor la Facultad de Biblioteconomía y Documentación de la Universitat de Barcelona, con la colaboración del Institut d'Estudis Catalans, la Biblioteca de Catalunya y el Consorci de Biblioteques de Barcelona. El seminario 2009 WePreserve se celebra anualmente desde el año 2007 y participan todas las figuras de referencia europeas en materia de investigación en sistemas y metodologías que garantizan la preservación digital de los documentos: Digital Preservation Europe (DPE), Preservation and Long-term Access Through Networked Services (Planets), Cultural Artistic and Scientific Knowledge for Preservation, Access and Retrieval (CASPAR), y Network of expertise in Digital long-term preservation (nestor).

Scoring Methods for Ordinal Multidimensional Forced-Choice Items

In most psychological tests and questionnaires, a test score is obtained bytaking the sum of the item scores. In virtually all cases where the test orquestionnaire contains multidimensional forced-choice items, this traditionalscoring method is also applied. We argue that the summation of scores obtained with multidimensional forced-choice items produces uninterpretabletest scores. Therefore, we propose three alternative scoring methods: a weakand a strict rank preserving scoring method, which both allow an ordinalinterpretation of test scores; and a ratio preserving scoring method, whichallows a proportional interpretation of test scores. Each proposed scoringmethod yields an index for each respondent indicating the degree to whichthe response pattern is inconsistent. Analysis of real data showed that withrespect to rank preservation, the weak and strict rank preserving methodresulted in lower inconsistency indices than the traditional scoring method;with respect to ratio preservation, the ratio preserving scoring method resulted in lower inconsistency indices than the traditional scoring method

Application of the european customer satisfaction index to postal services. Structural equation models versus partial least squars

Customer satisfaction and retention are key issues for organizations in today’s competitive market place. As such, much research and revenue has been invested in developing accurate ways of assessing consumer satisfaction at both the macro (national) and micro (organizational) level, facilitating comparisons in performance both within and between industries. Since the instigation of the national customer satisfaction indices (CSI), partial least squares (PLS) has been used to estimate the CSI models in preference to structural equation models (SEM) because they do not rely on strict assumptions about the data. However, this choice was based upon some misconceptions about the use of SEM’s and does not take into consideration more recent advances in SEM, including estimation methods that are robust to non-normality and missing data. In this paper, both SEM and PLS approaches were compared by evaluating perceptions of the Isle of Man Post Office Products and Customer service using a CSI format. The new robust SEM procedures were found to be advantageous over PLS. Product quality was found to be the only driver of customer satisfaction, while image and satisfaction were the only predictors of loyalty, thus arguing for the specificity of postal services

Using a Parameterization of a Radiative Transfer Model to Build High-Resolution Maps of Typical Clear-Sky UV Index in Catalonia, Spain

To perform a climatic analysis of the annual UV index (UVI) variations in Catalonia, Spain (northeast of the Iberian Peninsula), a new simple parameterization scheme is presented based on a multilayer radiative transfer model. The parameterization performs fast UVI calculations for a wide range of cloudless and snow-free situations and can be applied anywhere. The following parameters are considered: solar zenith angle, total ozone column, altitude, aerosol optical depth, and single-scattering albedo. A sensitivity analysis is presented to justify this choice with special attention to aerosol information. Comparisons with the base model show good agreement, most of all for the most common cases, giving an absolute error within 0.2 in the UVI for a wide range of cases considered. Two tests are done to show the performance of the parameterization against UVI measurements. One uses data from a high-quality spectroradiometer from Lauder, New Zealand [45.04°S, 169.684°E, 370 m above mean sea level (MSL)], where there is a low presence of aerosols. The other uses data from a Robertson–Berger-type meter from Girona, Spain (41.97°N, 2.82°E, 100 m MSL), where there is more aerosol load and where it has been possible to study the effect of aerosol information on the model versus measurement comparison. The parameterization is applied to a climatic analysis of the annual UVI variation in Catalonia, showing the contributions of solar zenith angle, ozone, and aerosols. High-resolution seasonal maps of typical UV index values in Catalonia are presented

Estabilitat i diagènesis dels fitòlits de silici en els jaciments arqueològics

Estudi realitzat a partir d’una estada al Kimmel Center for Archaeological Research, Israel, entre 2010 i 2012. Els fitòlits són un dels components principals dels sediments arqueològics. Són relativament estables i menys propensos a la degradació biològica que altres restes vegetals, però també poden ser afectats per la diagènesis. Per entendre com la diagènesis afecta als fitòlits hem desenvolupat una aproximació experimental utilitzant solucions alcalines per determinar l’estabilitat individual de fitòlits fòssils i moderns. L’experimentació ha estat completada amb un estudi de camp a Izbet Sartah. Els resultats mostren com la diagènesis canvia la composició dels conjunts de fitòlits, i per tant afecta la interpretació arqueològica. Conseqüentment, hem desenvolupat un mètode per determinar l’estat de preservació dels fitòlits en els jaciments arqueològics. L’experimentació mostra com els fitòlits moderns són més solubles que els fitòlits fòssils. Tant els fitòlits fòssils com els moderns són menys estables si són cremats. No totes les morfologies es preserven igual, indicant així que hi ha unes morfologies més estables que unes altres. Els fitòlits amb decoracions delicades, especialment aquells formats a la inflorescència de gramínies, són més propensos a la dissolució que els de les fulles. L’avaluació de l’estat de preservació dels fitòlits en jaciments arqueològics es pot realitzar utilitzant un conjunt de tècniques com ara: l’Index de Variació de Fitòlits, el mètode de dissolució ràpida, la identificació de morfologies delicades i la utilització del FTIR. Proposem que la diagènesis dels fitòlits depèn directament de la quantitat inicial de fitòlits en els sediments, la velocitat de sedimentació, i la presència o absència de fitòlits i plantes modernes en l’àrea estudiada. Els resultats d’aquesta investigació han estat publicats en dos articles afegits al final de l’informe (Cabanes et al., 2011 i Cabanes et al., in press), presentats en congressos internacionals i utilitzats indirectament en altres investigacions.

Passive modernization? the new human development index and its components in Italy’s regions (1871-2007)

The article presents and discusses estimates of social and economic indicators for Italy’s regions in benchmark years roughly from Unification to the present day: life expectancy, education, GDP per capita at purchasing power parity, and the new Human Development Index (HDI). A broad interpretative hypothesis, based on the distinction between passive and active modernization, is proposed to account for the evolution of regional imbalances over the long-run. In the lack of active modernization, Southern Italy converged thanks to passive modernization, i.e., State intervention: however, this was more effective in life expectancy, less successful in education, expensive and as a whole ineffective in GDP. As a consequence, convergence in the HDI occurred from the late XIX century to the 1970s, but came to a sudden halt in the last decades of the XX century.

Is there really a backlash against multiculturalism policies? New evidence from the multiculturalism policy index

In much of the western world, and particularly in Europe, there is a widespread perception that multiculturalism has ‘failed’ and that governments who once embraced a multicultural approach to diversity are turning away, adopting a strong emphasis on civic integration. This reaction, we are told, “reflects a seismic shift not just in the Netherlands, but in other European countries as well” (JOPPKE 2007). This paper challenges this view. Drawing on an updated version of the Multiculturalism Policy Index introduced earlier (BANTING and KYMLICKA 2006), the paper presents an index of the strength of multicultural policies for European countries and several traditional countries of immigration at three points in time (1980, 2000 and 2010). The results paint a different picture of contemporary experience in Europe. While a small number of countries, including most notably the Netherlands, have weakened established multicultural policies during the 2000s, such a shift is the exception. Most countries that adopted multicultural approaches in the later part of the twentieth century have maintained their programs in the first decade of the new century; and a significant number of countries have added new ones. In much of Europe, multicultural policies are not in general retreat. As a result, the turn to civic integration is often being layered on top of existing multicultural programs, leading to a blended approach to diversity. The paper reflects on the compatibility of multiculturalism policies and civic integration, arguing that more liberal forms of civic integration can be combined with multiculturalism but that more illiberal or coercive forms are incompatible with a multicultural approach.

Panel index VAR models: Specification, Estimation, Testing and Leading Indicators

This paper proposes a method to conduct inference in panel VAR models with cross unit interdependencies and time variations in the coefficients. The approach can be used to obtain multi-unit forecasts and leading indicators and to conduct policy analysis in a multiunit setups. The framework of analysis is Bayesian and MCMC methods are used to estimate the posterior distribution of the features of interest. The model is reparametrized to resemble an observable index model and specification searches are discussed. As an example, we construct leading indicators for inflation and GDP growth in the Euro area using G-7 information.