Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials

We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of multiple orthogonal polynomials. We show how these asymptotic zero distributions are related to the Fuss-Catalan distribution.Comment: 19 pages, 2 figures. Some minor corrections and four new references adde

Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients

We look at some extensions of the Stieltjes-Wigert weight functions. First we replace the variable x by x^2 in a family of weight functions given by Askey in 1989 and we show that the recurrence coefficients of the corresponding orthogonal polynomials can be expressed in terms of a solution of the q-discrete Painlev\'e III equation. Next we consider the q-Laguerre or generalized Stieltjes-Wigert weight functions with a quadratic transformation and derive recursive equations for the recurrence coefficients of the orthogonal polynomials. These turn out to be related to the q-discrete Painlev\'e V equation. Finally we also consider the little q-Laguerre weight with a quadratic transformation and show that the recurrence coefficients of the orthogonal polynomials are again related to q-discrete Painlev\'e V.Comment: 19 page

Zero distribution of polynomials satisfying a differential-difference equation

In this paper we investigate the asymptotic distribution of the zeros of polynomials $P_{n}(x)$ satisfying a first order differential-difference equation. We give several examples of orthogonal and non-orthogonal families.Comment: 26 pages, 2 figure

Modularity and the Organization of International Production

In recent decades, complex manufacturing sectors such as electronics have transformed from an industry dominated by vertically integrated firms that source locally to an industry dominated by horizontally specialized firms that source globally. To account for this, we build an two-country industry-equilibrium model in which firms concurrently choose (i) a product architecture, (ii) an ownership structure and (iii) a location for production. In industries with partial input specificity and economies of scale in input production, we find that the industry transformation can be explained by a reduction in synergistic specificity, a reduction in the cost of internationalizing and an increase in industry demand. Au cours des dernières décennies, les secteurs manufacturiers complexes, tels que celui de l’électronique, se sont transformés, passant d’une industrie dominée par des firmes intégrées verticalement et s’approvisionnant localement, à une industrie dominée par des firmes spécialisées horizontalement et s’approvisionnant sur les marchés mondiaux. Pour expliquer ce phénomène, nous construisons un modèle d’équilibre industriel entre deux pays, dans lequel les entreprises choisissent simultanément (i) l’architecture du produit, (ii) la structure de propriété et (iii) le lieu de production. Dans les industries caractérisées par une spécificité partielle d’intrants et des économies d’échelle liées à la production de ceux-ci, nous constatons que la transformation qu’a connue l’industrie peut s’expliquer par une réduction de la spécificité synergique, une réduction du coût d’internationalisation et une augmentation de la demande au sein de l’industrie.input specificity, modularity, outsourcing, product architecture, architecture du produit, impartition, modularité, spécificité des intrants

Are we measuring what we want to measure?

The social context of survey interviews is likely to be important in survey measurement in developing countries, where respondents expect to benefit from participation. In the recent literature on survey measurement, however, there are few attempts to analyze the impact of the respondents’ social context on response error, and they tend to be limited to developed countries. This paper follows the narrow path traced by these attempts. The opportunity for this study is offered by a set of 134 unplanned re-interviews collected during the fieldwork operations of a household panel survey in rural Malawi. Personal benefit was the main reason some respondents were willing to be re-interviewed, since the survey compensated them with an additional gift for the second interview. By comparing the answers to the first and second interview given by the re-interviewed respondents, this paper therefore assesses how the search for personal benefit (which captures some aspects of the respondents’ social context) biased the results.AIDS/HIV, consistency, Malawi, response error, social interaction, survey measurement, surveys