Singular random matrix decompositions: distributions.

Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for central and non-central, non-singular and singular cases, as well as their relationship to the Wishart and Pseudo-Wishart generalized singular and non-singular distributions. We present a particular example for the Karhunen-Lòeve decomposition. Some of these results are also applied to two particular subfamilies of elliptical distributions, the singular matrix variate normal distribution and the singular matrix variate symmetric Pearson type VII distribution

SINGULAR RANDOM MATRIX DECOMPOSITIONS: DISTRIBUTIONS.

Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for central and non-central, non-singular and singular cases, as well as their relationship to the Wishart and Pseudo-Wishart generalized singular and non-singular distributions. We present a particular example for the Karhunen-Lòeve decomposition. Some of these results are also applied to two particular subfamilies of elliptical distributions, the singular matrix variate normal distribution and the singular matrix variate symmetric Pearson type VII distribution.

El acoso en el trabajo : una visión general del Reino Unido

El acoso sexual sepresenta en la actualidad como upa proble^iui laboral que tiene su principal víctima en la im.cjer. En nuestro país son nunicrosos los estudios sobre esta cuestión, por lo que se prefiere aportar una fisión conzpu ceda. Para ello se analiza la regulación existente en el Reino Unido sobre el acoso sexual. El modelo anglosajón requiere que cualquier estudio jurídico se apoye no sólo en la normativa existente sino en las decisiones Judiciales que forman el common law. El artículo se cierra con una visión práctica del acoso puesta de manifesto en los resultados de diversas encuestas._______________________________Nowadays sexual harassment is presented as a working problem in which its main victim is a woman. In this country there are many studies on this issue and thus it is intended to give a comparative point of view. Therefore, it is analyzed the current regulation of sexual harassment in the LTK. It is a requirement of the AngloSaxon model that any juridical study be based not only on the current regulation but also on the judicial decisions (common law). The article concludes by giving a practical view of harassment which is based on the results of different surveys

El diálogo social como vehículo dinamizador en escenarios de crisis económica

El diálogo social constituye un elemento esencial para hacer frente a problemas económicos y sociales. Sin embargo no es una solución exenta de problemas, puesto que en cada momento histórico las relaciones laborales de cada país imponen el camino a seguir. En este artículo se examinan las distintas variantes del diálogo social en España y cómo se orienta para los próximos años a la hora de aportar soluciones a la crisis económica. Además, al analizar este tema, debe aludirse al diálogo social europeo como referencia de actuaciones que luego aterrizarán en los diferentes Estados miembros. Así, se exponen las principales líneas que desde la Unión Europea se pretenden alcanzar.______________________________________The social dialogue as a dynamic vehicle in the face of an economic crisis. However, it is not a solution without consequences because, depending on the historical context, the working relations of each country, guide the path to be followed. In the present article, we examine the different variables of the social dialogue is established in the following years to find solutions for the recession. Moreover, when we analyze this topic, we should refer to the European social dialogue for reference about how to proceed. Eventually, the different members of EU would follow the same reference. In this way, the main goals that the EU wants to achieve are explained

Spectropolarimetric analysis of an active region filament. I. Magnetic and dynamical properties from single component inversions

The determination of the magnetic filed vector in solar filaments is possible by interpreting the Hanle and Zeeman effects in suitable chromospheric spectral lines like those of the He I multiplet at 10830 A. We study the vector magnetic field of an active region filament (NOAA 12087). Spectropolarimetric data of this active region was acquired with the GRIS instrument at the GREGOR telescope and studied simultaneously in the chromosphere with the He I 10830 A multiplet and in the photosphere with the Si I 10827 A line. As it is usual from previous studies, only a single component model is used to infer the magnetic properties of the filament. The results are put into a solar context with the help of the Solar Dynamic Observatory images. Some results clearly point out that a more complex inversion had to be done. Firstly, the Stokes $V$ map of He I does not show any clear signature of the presence of the filament. Secondly, the local azimuth map follows the same pattern than Stokes $V$ as if the polarity of Stokes $V$ were conditioning the inference to very different magnetic field even with similar linear polarization signals. This indication suggests that the Stokes $V$ could be dominated by the below magnetic field coming from the active region, and not, from the filament itself. Those and more evidences will be analyzed in depth and a more complex inversion will be attempted in the second part of this series.Comment: 18 pages, 19 figures, accepted for publication in A&

A microscopic NN to NN*(1440) potential

By means of a NN to NN*(1440) transition potential derived in a parameter-free way from a quark-model based NN potential, we determine simultaneously the $\pi NN^*(1440)$ and $\sigma NN^*(1440)$ coupling constants. We also present a study of the target Roper excitation diagram contributing to the $p(d,d')$ reaction.Comment: Talk presented at the Fourth International Conference on Perspectives in Hadronic Physics (ICTP, Trieste, Italy, May 2003). To appear in EPJA. 6 pages, 9 figures, needs svepj.clo and svjour.cl