Time delays for 11 gravitationally lensed quasars revisited

We test the robustness of published time delays for 11 lensed quasars by using two techniques to measure time shifts in their light curves. We chose to use two fundamentally different techniques to determine time delays in gravitationally lensed quasars: a method based on fitting a numerical model and another one derived from the minimum dispersion method introduced by Pelt and collaborators. To analyse our sample in a homogeneous way and avoid bias caused by the choice of the method used, we apply both methods to 11 different lensed systems for which delays have been published: JVAS B0218+357, SBS 0909+523, RX J0911+0551, FBQS J0951+2635, HE 1104-1805, PG 1115+080, JVAS B1422+231, SBS 1520+530, CLASS B1600+434, CLASS B1608+656, and HE 2149-2745 Time delays for three double lenses, JVAS B0218+357, HE 1104-1805, and CLASS B1600+434, as well as the quadruply lensed quasar CLASS B1608+656 are confirmed within the error bars. We correct the delay for SBS 1520+530. For PG 1115+080 and RX J0911+0551, the existence of a second solution on top of the published delay is revealed. The time delays in four systems, SBS 0909+523, FBQS J0951+2635, JVAS B1422+231, and HE 2149-2745 prove to be less reliable than previously claimed. If we wish to derive an estimate of H_0 based on time delays in gravitationally lensed quasars, we need to obtain more robust light curves for most of these systems in order to achieve a higher accuracy and robustness on the time delays

Re-encoding reformulation and application to Welch-Berlekamp algorithm

The main decoding algorithms for Reed-Solomon codes are based on a bivariate interpolation step, which is expensive in time complexity. Lot of interpolation methods were proposed in order to decrease the complexity of this procedure, but they stay still expensive. Then Koetter, Ma and Vardy proposed in 2010 a technique, called re-encoding, which allows to reduce the practical running time. However, this trick is only devoted for the Koetter interpolation algorithm. We propose a reformulation of the re-encoding for any interpolation methods. The assumption for this reformulation permits only to apply it to the Welch-Berlekamp algorithm

The Steiner tree problem revisited through rectifiable G-currents

The Steiner tree problem can be stated in terms of finding a connected set of minimal length containing a given set of finitely many points. We show how to formulate it as a mass-minimization problem for $1$-dimensional currents with coefficients in a suitable normed group. The representation used for these currents allows to state a calibration principle for this problem. We also exhibit calibrations in some examples

Misunderstood or lacking legitimacy?

In spite of the rising interest in marketing within professional service firms in the last twenty years, past research has identified a reluctant acceptance and application of marketing within these organisations. The present paper will debate whether this is due to lack of understanding of the role of marketing, lack of acceptance as a valid management discipline suitable for professional services or lack of legitimacy as a profession in its own right. A brief overview of the role of marketing will be followed by a discussion on the professions, professional legitimacy and the professional organisation. Qualitative research was done in the form of in-depth interviews with marketing executives and accountancy and law professionals in fourteen firms across the UK. The research has revealed generational differences, misconceptions and outright conflict leading to resistance in the introduction and application of marketing, although the professionals have individually practiced a wide variety of marketing activities in their pursuit of gaining and maintaining clients. There has been a conspicuous resistance to the acceptance of marketing as a management tool within certain firms. The findings have opened up the spectre of inter-professional competition on legitimacy grounds