A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc

We compute Poisson kernels for integer weight parameter standard weighted biharmonic operators in the unit disc with Dirichlet boundary conditions. The computations performed extend the supply of explicit examples of such kernels and suggest similar formulas for these Poisson kernels to hold true in more generality. Computations have been carried out using the open source computer algebra package Maxima

Size-biased branching population measures and the multi-type xlog⁡xx\log x condition

We investigate the $x\log x$ condition for a general (Crump--Mode--Jagers) multi-type branching process with a general type space by constructing a size-biased population measure that relates to the ordinary population measure via an intrinsic martingale $W_t$. Sufficiency of the $x\log x$ condition for a non-degenerate limit of $W_t$ is proved and conditions for necessity are investigated.Comment: Published in at http://dx.doi.org/10.3150/09-BEJ211 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm

Stability or change in the Swedish Labour Market Regime?

From the late 1970s to the early 1990s Sweden diverted from the rest of Western Europe. The employment rate was high and unemployment was kept very low. But in the early 1990s unemployment started to rise also in Sweden. In this paper the worsened situation for low educated in general, and youth in particular, are related to two institutional factors: a changed organisation of vocational education in upper secondary schooling and changes in labour market policy, where changes in vocational education is understood as a cause and changes in labour market policy as an effect of rising obstacles for low educated. Of course, there are several other factors that have to be considered in order to get the full picture, but reforms in the upper secondary school system as well as in labour market policy are of great interest as they can be apprehended as parts of broader changes in the traditional Swedish labour market model. Studies of changes in the Swedish model can also be seen as part of a wider research interest concerning the effectiveness of competing institutional models of capitalism. It’s argued that changes in schooling are an important factor behind increasing social marginalisation and income dispersion. The focus is primarily on the ages between 20 and 24. Changes in upper secondary schooling are also valued in connection to the supply of youth measures connected to labour market policy. Since the beginning of the 1990s, there has been a huge increase of participants in programs directed to youth. This is a direct effect of rising unemployment and increasing troubles for those with unfinished upper secondary education. But it’s also possible to trace changes in labour market policy to broader institutional transformations in the Swedish labour market model. These changes will first and foremost be analysed as an expression of stronger segmentation forces.Swedish Labour Market; low educated; young adults

The detached dust and gas shells around the carbon star U Ant

Context: Geometrically thin, detached shells of gas have been found around a handful of carbon stars. --Aims: Previous observations of scattered stellar light in the circumstellar medium around the carbon star U Ant were taken through filters centred on the resonance lines of K and Na. These observations could not separate the scattering by dust and atoms. The aim of this paper is to remedy this situation. --Methods: We have obtained polarization data on stellar light scattered in the circumstellar medium around U Ant through filters which contain no strong lines, making it possible to differentiate between the two scattering agents. Kinematic, as well as spatial, information on the gas shells were obtained through high-resolution echelle spectrograph observations of the KI and NaD lines. --Results: We confirm the existence of two detached shells around U Ant. The inner shell (at a radius of approx 43" and a width of approx 2") consists mainly of gas, while the outer shell (at a radius of approx 50" and a width of approx 7") appears to consist exclusively of dust. Both shells appear to have an over-all spherical geometry. The gas shell mass is estimated to be 2x10^-3 M(Sun), while the mass of the dust shell is estimated to be 5x10^-5 M(Sun). The derived expansion velocity, from the KI and NaD lines, of the gas shell, 19.5 km/s, agrees with that obtained from CO radio line data. The inferred shell age is 2700 years. There is structure, e.g. in the form of arcs, inside the gas shell, but it is not clear whether these are due to additional shells. --Conclusions: Our results support the hypothesis that the observed geometrically thin, detached shells around carbon stars are the results of brief periods of intense mass loss, probably associated with thermal pulses, and subsequent wind-wind interactions

Classifying the secondary component of the binary star W Aquilae

AIMS: The object W Aql is an asymptotic giant branch (AGB) star with a faint companion. By determining more carefully the properties of the companion, we hope to better constrain the properties of the AGB star. METHODS: We present new spectral observations of the binary star W Aql at minimum and maximum brightness and new photometric observations of W Aql at minimum brightness. RESULTS: The composite spectrum near minimum light is predominantly from the companion at wavelengths $\lambda$ < 6000 $\AA$. This spectrum can be classified as F8 to G0, and the brightness of the companion is that of a dwarf star. Therefore, it can be concluded that the companion is a main sequence star. From this, we are able to constrain the mass of the AGB component to 1.04 - 3 $M_\odot$ and the mass of the W Aql system to 2.1 - 4.1 $M_\odot$ . Our photometric results are broadly consistent with this classification and suggest that the main sequence component suffers from approximately 2 mag of extinction in the V band primarily due to the dust surrounding the AGB component.Comment: 5 pages, 1 figure, research not

Mapping rail wear transitions

This paper outlines work carried out to produce maps of rail material wear coefficients taken from laboratory tests run on twin disc and pin-on-disc machines as well as those derived from measurements taken in the field. Wear transitions are identified using the maps and defined in terms of slip and contact pressure. Wear regimes are related to expected wheel/rail contact conditions and contact points (rail head/wheel tread and rail gauge/wheel flange). Surface and sub-surface morphologies are discussed and comparisons are made between field and laboratory data