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Mixed correlation function and spectral curve for the 2-matrix model
latex, 1 figure, 55 pages -
Around the circular law
Added: one reference and few comments. -
Nonparametric probabilistic approach of uncertainties for elliptic boundary v...
International audience -
A computational inverse method for identification of non-Gaussian random fiel...
International audience -
Stochastic reduced order models for uncertain infinite-dimensional geometrica...
International audience -
Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Tr...
International audience -
Statistical inference in a high-dimensional spiked population model
This thesis deals with the statistical inference of large dimensional data. The random matrix theory allows to take into account this framework, since most asymptotic... -
Uniform uncertainty principle for Bernoulli and subgaussian ensembles
International audience -
RANDOM TRUNCATIONS OF HAAR DISTRIBUTED MATRICES AND BRIDGES
Let $U$ be a Haar distributed matrix in $\mathbb U(n)$ or $\mathbb O (n)$. In a previous paper, we proved that after centering, the two-parameter process \[T^{(n)}... -
Circular law for random matrices with unconditional log-concave distribution
We explore the validity of the circular law for random matrices with non-i.i.d. entries. Let M be an n × n random real matrix obeying, as a real random vector, a... -
Moments method for random matrices with applications to wireless communication.
In this thesis, we focus on the analysis of the moments method, showing its importance in the application of random matrices to wireless communication. This study is... -
Almost sure convergence of products of $2\times2$ nonnegative matrices
We study the almost sure convergence of the normalized columns in an infinite product of nonnegative matrices, and the almost sure rank one property of its limit... -
Eigenvectors of Sample Covariance Matrices : Universality of global fluctuations
nombre de pages: 21 -
Cooperation and Competition in Wireless Networks
The first chapter provides a long CV of the author (May 2010). The second chapter describes selected contributions to networks of wireless terminals equipped with... -
Séminaire de Probabilités XLV
International audience -
Spectra of large diluted but bushy random graphs
24 pages, 5 figures. -
Random symmetric matrices on Clifford algebras
We consider Brownian motions and other processes (Ornstein-Uhlenbeck processes, spherical Brownian motions) on various sets of symmetric matrices constructed from... -
Estimation and fluctuations of functionals of large random matrices
The principal objective of this thesis is : the study of the fluctuations of functionals of spectrum for large random matrices, the construction of consistent...
