A random version of Simons' inequality

The purpose of this paper is to provide a random version of Simons' inequality

A Model-Driven Approach for Business Process Management

The Business Process Management is a common mechanism recommended by a high number of standards for the management of companies and organizations. In software companies this practice is every day more accepted and companies have to assume it, if they want to be competitive. However, the effective definition of these processes and mainly their maintenance and execution are not always easy tasks. This paper presents an approach based on the Model-Driven paradigm for Business Process Management in software companies. This solution offers a suitable mechanism that was implemented successfully in different companies with a tool case named NDTQ-Framework.Ministerio de Educación y Ciencia TIN2010-20057-C03-02Junta de Andalucía TIC-578

On the generating function of weight multiplicities for the representations of the Lie algebra C2C_2

We use the generating function of the characters of $C_2$ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recurrence relations among the multiplicities and a simple graphical recipe to compute them.Comment: arXiv admin note: text overlap with arXiv:1304.720

Intra-household Time Allocation: Gender Differences in Caring for Children

Der vorliegende Beitrag untersucht auf Basis von Daten des Sozio-oekonomischen Panels für Deutschland (SOEP), inwieweit selbständige Ausländer in Deutschland überdurchschnittlich hohe Einkommen erzielen. Die Untersuchung zeigt, dass ausländische Selbständige insgesamt höhere Einkommen erzielen als angestellt tätige Ausländer und dass der Unterschied größer ist als bei Selbständigen deutscher Nationalität. Die Konsequenzen dieser Untersuchungsergebnisse für Wirtschaftspolitikund Gründungslehre werden diskutiert. Die Ergebnisse der Untersuchung zeigen differenzierten Forschungsbedarf im Hinblick auf unterschiedliche Optionen der Entrepreneurship Education. This paper analyses the intra-household allocation of time to show gender differences in childcare. In the framework of a general efficiency approach, hours spent on childcare by each parent are regressed against individual and household characteristics, for five samples (Denmark, France, Germany, Italy and Spain), with data being drawn from the European Community Household Panel-ECHP (1994-2001). Empirical results show a clear inequality in childcare between fathers and mothers, with this being more evident in Mediterranean countries. Panel data estimates reveal that, in general, caring tasks are mainly influenced by the presence of young children in the household, by the total non-labor income, and by the ratio of mothers' non-labor income to family's non-labor income, with this latter variable exhibiting a different behavior across genders and across countries.Childcare, gender differences, intra-household allocation, time use

Einstein constraints on a characteristic cone

We analyse the Cauchy problem on a characteristic cone, including its vertex, for the Einstein equations in arbitrary dimensions. We use a wave map gauge, solve the obtained constraints and show gauge conservation.Comment: 10 pages, to be published in the Proceedings of the 15th International Conference on Waves and Stability in Continuous Media, held in Palermo, 28th June to 1st July 200