Recent trends on analytic properties of matrix orthonormal polynomials

In this paper we give an overview of recent results on analytic properties of matrix orthonormal polynomials. We focus our attention on the distribution of their zeros as well as on the asymptotic behavior of such polynomials under some restrictions about the measure of orthogonality.The first author was supported by Ministerio de Ciencia y Tecnología (Dirección General de Investigación) of Spain under grant BHA2000-0206-C04-0

Recent trends on analytic properties of matrix orthonormal polynomials

Abstract. In this paper we give an overview of recent results on analytic properties of matrix orthonormal polynomials. We focus our attention on the distribution of their zeros as well as on the asymptotic behavior of such polynomials under some restrictions about the measure of orthogonality. Key words. matrix orthogonal polynomials, zeros, asymptotic behavior. AMS subject classifications. 42C05, 15A15, 15A23

Rethinking the dissemination of management fashion: accounting for 'intellectual capital' in UK case firms

In research on management knowledge, a tension often exists between perspectives that stress the effects of structural and institutional forces on the spread of new knowledge within managerial communities versus a more action-focused and organizationally embedded perspective on dissemination. This article contributes to the critique of dissemination theory by exploring the fashion for Intellectual Capital Accounting. ICA is a set of accounting models for managing knowledge-based assets and represents a poorly institutionalized variable type of fashion. The findings from case studies of ICA in six UK firms are at variance with the image of packages of knowledge being transferred into organizations. They confirm a process of dissemination that was much more a function of operational constraints and the level to which internal controls had developed; firms seemed to come to ideas via distinctive processes internally constructed around current problems and agendas, technical constraints, and the actions of a range of sponsoring groups

Large deviations and a new sum rule for spectral matrix measures of the Jacobi ensemble

International audienceWe continue to explore the connections between large deviations for objects coming from random matrix theory and sum rules. This connection was established in [Sum rules via large deviations, J. Funct. Anal. 270(2) (2016) 509-559] for spectral measures of classical ensembles (Gauss-Hermite, Laguerre, Jacobi) and it was extended to spectral matrix measures of the Hermite and Laguerre ensemble in [Sum rules and large deviations for spectral matrix measures, Bernoulli 25(1) (2018) 712-741]. In this paper, we consider the remaining case of spectral matrix measures of the Jacobi ensemble. Our main results are a large deviation principle for such measures and a sum rule for matrix measures with reference measure the Kesten-McKay law. As an important intermediate step, we derive the distribution of matricial canonical moments of the Jacobi ensemble

Networking and internationalization of SMEs in emerging economies

Internationalization, Networking, Small- to medium-sized enterprises (SMEs), Emerging economies, Institutional support, Malaysia,