Normalized eigenvalue counting measure of the sum of two Hermitian (or real symmetric) matrices An and Bn rotated independently with respect to each other by the random unitary (or orthogonal) Haar distributed matrix Un (i.e. An + U∗ nBnUn) is studied in the limit of large matrix order n. Convergence in probability to a limiting nonrandom measure is established. A functional equation for the St...

Résumé. De nos jours, le statisticien n’a plus nécessairement le contrôle sur la récolte des données. Le besoin d’une analyse statistique vient dans un second temps, une fois les données récoltées. Par conséquent, un travail est à fournir lors de la phase de préparation des données afin de passer d’une représentation informatique à une représentation statistique adaptée au problème considéré. D...

The electronic exchange of business documents is an often communicated desire by enterprises and the public sector. Electronic business is currently mainly hindered by unresolved interoperability issues and a lack of tool support. Additionally, computer aided document exchange is cost intensive at the beginning and thus discourages small and medium-sized companies to adapt to new technologies. ...

Les arbres sont principalement la structure de donnée utilisés pour stocker des données ordonnées et d’après Knuth la plus importante structure non-linéaire intervenant dans l’informatique. Ils sont très utilisés dans tous les domaines, parce que bien adaptés à la représentation naturelle d’information organisée homogène, et d’une grande rapidité et commodité de manipulation. On trouve cette st...

The Fabry-Perot spectrometer can be applied to a wide range of problems in upper atmospheric spectroscopy. These vary from line-width measurements at high resolution to lowresolution problems requiring either high sensitivity or rapid time response. A number of such applications are described as have been used for measurements on the aurora, twilightglow, and dayglow from Saskatoon, Canada. Spa...

In recent work on nonequilibrium statistical physics, a certain Markovian exclusion model called an asymmetric annihilation process was studied by Ayyer and Mallick. In it they gave a precise conjecture for the eigenvalues (along with the multiplicities) of the transition matrix. They further conjectured that to each eigenvalue, there corresponds only one eigenvector. We prove the first of thes...

The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in th...