– We derive a moderate deviations principle for matrices of the form XN = DN + WN where WN are Wigner matrices and DN is a sequence of deterministic matrices whose spectral measures converge in a strong sense to a limit μD . Our techniques are based on a dynamical approach introduced by Cabanal-Duvillard and Guionnet.  2003 Éditions scientifiques et médicales Elsevier SAS MSC: 60F99; 15A52

cet article est consacréà l’étude du dialogue dans enfance, récit autobiographique de nathalie sarraute qui contient des souvenirs de ses onze premières années. l’une des originalités de ce récit, se base sur la présence de deux voix narratives qui dialoguent tout au long du récit. l’une de ces dernières, joue le rôle d’une narratrice et l’autre représente le côté conscient de l’auteur qui suiv...

Abstract We study the empirical measure LAn of the eigenvalues of non-normal square matrices of the form An = UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure of the eigenvalues of Tn converges, and Tn satisfies some technical conditions, LAn converges towards a rotationally invariant measure μ on the complex plane...

The set U(n) of n × n unitary matrices forms a compact topological group with respect to the matrix multiplication and the usual topology, therefore there exists a unique (up to the scalar multiplication) translation invariant measure on U(n), the so-called Haar measure. We will consider a random variable Un which maps from a probability space to U(n), and take its values uniformly from U(n), i...

1 Jomo was an Assistant Secretary General in the United Nations system responsible for economic research during 2005-2015.; Chowdhury (Chief, Multi-Stakeholder Engagement & Outreach, Financing for Development Office, UN-DESA); Sharma (Senior Economic Affairs Officer, Financing for Development Office, UN-DESA); Platz (Economic Affairs Officer, Financing for Development Office, UN-DESA); correspo...

In a previous paper the authors developed a H−BMO theory for unbounded metric measure spaces (M, ρ, μ) of infinite measure that are locally doubling and satisfy two geometric properties, called “approximate midpoint” property and “isoperimetric” property. In this paper we develop a similar theory for spaces of finite measure. We prove that all the results that hold in the infinite measure case ...