Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix

We consider the correlation functions of eigenvalues of a unidimensional chain of large random hermitian matrices. An asymptotic expression of the orthogonal polynomials allows to find new results for the correlations of eigenvalues of different matrices of the chain. Eventually, we consider the limit of the infinite chain of matrices, which can be interpreted as a time dependent one-matrix model, and give the correlation functions of eigenvalues at different times.Comment: Tex-Harvmac, 27 pages, submitted to Journ. Phys.

Breakdown of universality in multi-cut matrix models

We solve the puzzle of the disagreement between orthogonal polynomials methods and mean field calculations for random NxN matrices with a disconnected eigenvalue support. We show that the difference does not stem from a Z2 symmetry breaking, but from the discreteness of the number of eigenvalues. This leads to additional terms (quasiperiodic in N) which must be added to the naive mean field expressions. Our result invalidates the existence of a smooth topological large N expansion and some postulated universality properties of correlators. We derive the large N expansion of the free energy for the general 2-cut case. From it we rederive by a direct and easy mean-field-like method the 2-point correlators and the asymptotic orthogonal polynomials. We extend our results to any number of cuts and to non-real potentials.Comment: 35 pages, Latex (1 file) + 3 figures (3 .eps files), revised to take into account a few reference

The Effects of Brand Relationship Norms on Consumer Attitudes and Behavior

Branding and brand-based differentiation are powerful means for creating and sustaining competitive advantage. Prior research has examined differences in how consumers perceive and evaluate brands, for example, through investigating brand equity (Keller 1993; McQueen, Foley, and Deighton 1993), brand personality (Aaker 1997; Plummer 1985) and brand extensions (Aaker and Keller 1990

Electronic Purse Applet Certification (Extended Abstract)

The paper describes the status of a joint project between Gemplus and ONERA. Gemplus developed an electronic purse running on Java enabled smart cards. The project goal is to verify security properties that should be enforced by the applets involved in this application. A security policy has been defined that associates levels to applet attributes and methods and defines authorized flows between levels. We propose a technique based on model checking to verify that actual information flows between applets are authorized. 1 Context and case study 1.1 Open smart cards A new type of smart cards is getting more and more attractive: multiapplication smart cards. The main characteristics of such cards are that applications can be loaded after the card issuance and that several applications run on the same card. A few operating systems have been proposed to manage multiapplication smart cards, namely Java Card 2 , Multos 3 and more recently Smart Cards for Windows 4 . In this paper, w..