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Convergence of Wigner integrals to the tetilla law
International audience -
The singular values and vectors of low rank perturbations of large rectangula...
22 pages, presentation of the main results and of the hypotheses slightly modified. -
Free transport-entropy inequalities for non-convex potentials and application...
version 2 : suppression de l'usage superflu d'approximations matricielles dans la preuve de la proposition 2.4 -
Asymptotic Cramér type decomposition for Wiener and Wigner integrals
International audience -
The limiting distributions of large heavy Wigner and arbitrary random matrices
46 pages, 14 figures -
Marchenko-Pastur Theorem and Bercovici-Pata bijections for heavy-tailed or lo...
40 pages, 10 figures, some minor mistakes corrected. -
Convergence in law in the second Wiener/Wigner chaos
14 pages. This version corrects an error which, unfortunately, appears in the published version in ECP. -
Strong and false asymptotic freeness of large random matrices
The thesis fits into the random matrix theory, in intersection with free probability and operator algebra. It is part of a general approach which is common since the... -
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... -
Additive/multiplicative free subordination property and limiting eigenvectors...
International audience -
Spectrum of Markov generators on sparse random graphs
Correction in Proposition 4.3. Final version. -
Invariance principles for homogeneous sums of free random variables
International audience
