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Publications Influence

Around the circular law

- C. Bordenave, Djalil CHAFAÏ
- Mathematics, Physics
- 15 September 2011

These expository notes are centered around the circular law theorem, which states that the empirical spectral distribution of a nxn random matrix with i.i.d. entries of variance 1/n tends to the… Expand

137 19- PDF

The circular law

The circular law theorem states that the empirical spectral distribution of a n×n random matrix with i.i.d. entries of variance 1/n tends to the uniform law on the unit disc of the complex plane as… Expand

174 17- PDF

Channel selection methods for infrared atmospheric sounding interferometer radiances

- F. Rabier, N. Fourrie, Djalil CHAFAÏ, P. Prunet
- Mathematics
- 1 April 2002

Advanced infrared sounders will provide thousands of radiance data at every observation location. The number of individual pieces of information is not usable in an operational numerical… Expand

141 9- PDF

Sur les in'egalit'es de Sobolev logarithmiques

- C. Ané, S. Blachère, +5 authors G. Scheffer
- Mathematics
- 2000

On logarithmic Sobolev inequalities). — This book is an overview on logarithmic Sobolev inequalities. These inequalities turned out to be a subject of intense activity during the past years, from… Expand

135 8- PDF

Interactions between compressed sensing, random matrices, and high dimensional geometry

- Djalil CHAFAÏ, O. Guédon, Guillaume Lecué, A. Pajor
- Computer Science
- 31 December 2012

TLDR

77 7- PDF

BINOMIAL-POISSON ENTROPIC INEQUALITIES AND THE M/M/∞ QUEUE

- Djalil CHAFAÏ
- Mathematics
- 1 September 2006

This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/∞ queue. They describe in particular the… Expand

36 7- PDF

First order global asymptotics for confined particles with singular pair repulsion

- Djalil CHAFAÏ, N. Gozlan, Pierre-Andr'e Zitt
- Mathematics, Physics
- 29 April 2013

We study a physical system of N interacting particles in Rd, subject to pair repulsion and confined by an external field. We establish a large deviations principle for their empirical distribution as… Expand

74 7- PDF

Entropies, convexity, and functional inequalities : On Phi-entropies and Phi-Sobolev inequalities

- Djalil CHAFAÏ
- Mathematics
- 2004

Our aim is to provide a short and self contained synthesis which generalise and unify various related and unrelated works involving what we call Phi-Sobolev functional inequalities. Such inequalities… Expand

85 6

A Note on the Second Order Universality at the Edge of Coulomb Gases on the Plane

- Djalil CHAFAÏ, S. Péché
- Mathematics, Physics
- 2 October 2013

We consider in this note a class of two-dimensional determinantal Coulomb gases confined by a radial external field. As the number of particles tends to infinity, their empirical distribution tends… Expand

36 6- PDF

On gradient bounds for the heat kernel on the Heisenberg group

- D. Bakry, Fabrice Baudoin, M. Bonnefont, Djalil CHAFAÏ
- Mathematics
- 16 October 2007

It is known that the couple formed by the two dimensional Brownian motion and its Levy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The… Expand

80 6- PDF