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.

Examining the sustainability issues in UKOER projects : Developing a sustainable OER ecosystem in HE

The development of open educational resources (OERs) is becoming a strategic priority for governments and education institutions around the world, in response to funding cuts and rising costs in educational provision. In the United Kingdom, a government-sponsored Pilot Programme on Open Educational Recourses (JISC/HEA, 2009) was launched in 2009 with an initial budget of £5.7m. This paper reviews the key sustainability issues identified by the projects including the different approaches and models that have been adopted in order to sustain the continuing development and release of OER once funding has ended. The analysis also considers the challenges relating to the development and implementation of policies and processes for sustainable OER practice within institutions and among academics. The paper concludes by drawing on the experiences from the wider United Kingdom and international OER communities to develop a sustainable OER ecosystem model that can facilitate discussions on future development of OER initiatives.

Collective Intelligence for OER Sustainability

To thrive, the Open Educational Resource (OER) movement, or a given initiative, must make sense of a complex, changing environment. Since "sustainability" is a desirable systemic capacity that our community should display, we consider a number of principles that sharpen the concept: resilience, sensemaking and complexity. We outline how these motivate the concept of collective intelligence (CI), we give examples of what OER-CI might look like, and we describe the emerging Cohere CI platform we are developing in response to these requirements.

Building a Manifesto for OER sustainability : UK experiences

Evidence of sustainability, or the potential to achieve this, is increasingly a pre-requisite for OER activity, whether imposed by funders, by institutions requiring a 'business case' for OER, or practitioners themselves - academics, educational technologists and librarians, concerned about how to justify engagement with a unfamiliar, and unproven practices, in today's climate of limited resource. However, it is not clear what is meant by 'sustainability' in relation to OER, what will be needed to achieve or demonstrate this, nor who the expectation of sustainability relates to. This paper draws on experiences of UK OER projects to identify aspirations that those involved in delivering OER activity have for OER sustainability ¿ what a 'manifesto' for OER sustainability beyond project funding, based on OER use, might look like.

What do academic libraries have to do with Open Educational Resources? Theme : Long term sustainability of open education projects first steps to start up

This paper will discuss the possible roles of academic libraries in promoting, supporting, and sustaining institutional Open Educational Resource initiatives. It will note areas in which libraries or librarians have skills and knowledge that intersect with some of the needs of academic staff and students as they use and release OERs. It will also present the results of a brief survey of the views of some OER initiatives on the current and potential role of academic libraries.

Agriculture, technological change and environmental sustainability: Looking for a win-win water policy strategy

This paper analyses the effects that technological changes in agriculture would have on environmental, social and economic indicators. Specifically, our study is focused on two alternative technological improvements: the modernization of water transportation systems versus the increase in the total factor productivity of agriculture. Using a computable general equilibrium model for the Catalan economy, our results suggest that a water policy that leads to greater economic efficiency is not necessarily optimal if we consider social or environmental criteria. Moreover, improving environmental sustainability depends less on the type of technological change than on the institutional framework in which technological change occurs. Keywords: agricultural technological changes, computable general equilibrium model, economic impact, water policy

Investment, duration, and exit strategies for corporate and independent venture capital-backed start-ups

We propose a model of investment, duration, and exit strategies for start-ups backed by venture capital (VC) funds that accounts for the high level of uncertainty, the asymmetry of information between insiders and outsiders, and the discount rate. Our analysis predicts that start-ups backed by corporate VC funds remain for a longer period of time before exiting and receive larger investment amounts than those financed by independent VC funds. Although a longer duration leads to a higher likelihood of an exit through an acquisition, a larger investment increases the probability of an IPO exit. These predictions find strong empirical support.

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

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.

Generating Brand Equity through Corporate Social Responsibility to Key Stakeholders

In this paper we argue that socially responsible policies have a positive impact on a firm's brand equity in the short-term as well as in the long-term. Moreover, once we distinguish between different stakeholders, we posit that secondary stakeholders such as community are even more important than primary stakeholders (customers, shareholders, workers and suppliers) in generating brand equity. Policies aimed at satisfied community interests act as a mechanism to reinforce trust that gives further credibility to social responsible polices with other stakeholders. The result is a decrease in conflicts among stakeholders and greater stakeholder willingness to provide intangible resources that enhance brand equity. We provide support of our theoretical contentions making use of a panel data composed of 57 firms from 10 countries (the US, Japan, South Korea, France, the UK, Italy, Germany, Finland, Switzerland and the Netherlands) for the period 2002 to 2007. We use detailed information on brand equity obtained from Interbrand and on corporate social responsibility (CSR) provided by the SiRi Global Profile database, as compiled by the Sustainable Investment Research International Company (SiRi).

Beyond Smith's rule: An optimal dynamic index, rule for single machine stochastic scheduling with convex holding costs

Most research on single machine scheduling has assumedthe linearity of job holding costs, which is arguablynot appropriate in some applications. This motivates ourstudy of a model for scheduling $n$ classes of stochasticjobs on a single machine, with the objective of minimizingthe total expected holding cost (discounted or undiscounted). We allow general holding cost rates that are separable,nondecreasing and convex on the number of jobs in eachclass. We formulate the problem as a linear program overa certain greedoid polytope, and establish that it issolved optimally by a dynamic (priority) index rule,whichextends the classical Smith's rule (1956) for the linearcase. Unlike Smith's indices, defined for each class, ournew indices are defined for each extended class, consistingof a class and a number of jobs in that class, and yieldan optimal dynamic index rule: work at each time on a jobwhose current extended class has larger index. We furthershow that the indices possess a decomposition property,as they are computed separately for each class, andinterpret them in economic terms as marginal expected cost rate reductions per unit of expected processing time.We establish the results by deploying a methodology recentlyintroduced by us [J. Niño-Mora (1999). "Restless bandits,partial conservation laws, and indexability. "Forthcomingin Advances in Applied Probability Vol. 33 No. 1, 2001],based on the satisfaction by performance measures of partialconservation laws (PCL) (which extend the generalizedconservation laws of Bertsimas and Niño-Mora (1996)):PCL provide a polyhedral framework for establishing theoptimality of index policies with special structure inscheduling problems under admissible objectives, which weapply to the model of concern.