Add to ORKGWe prove that any non commutative polynomial of r independent copies of Wigner matrices converges a.s. towards the polynomial of r free semicircular variables in operator norm. This result extends a previous work of Haagerup and Thorbjornsen where GUE matrices are considered, as well as the classical asymptotic freeness for Wigner matrices (i.e. convergence of the moments) proved by Dykema. We also study the Wishart case
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
We study Hermitian non-commutative quadratic polynomials of multiple independent Wigner matrices. We...
AbstractThe free Meixner laws arise as the distributions of orthogonal polynomials with constant-coe...
We prove that any non commutative polynomial of r independent copies of Wigner matrices converges a....
We study products of functions applied in self-adjoint polynomials in deterministic matrices and ind...
A combinatorial proof of Wigner’s semicircle law for the Gaussian Unitary Ensemble (GUE) is presente...
The thesis fits into the random matrix theory, in intersection with free probability and operator al...
We investigate the asymptotic behavior of the eigenvalues of spiked perturbations of Wigner matrices...
Cette thèse s'inscrit dans la théorie des matrices aléatoires, à l'intersection avec la théorie des ...
It is known that the joint limit distribution of independent Wigner matrices satisfies a very specia...
Let $X^N = (X_1^N,\dots, X^N_d)$ be a d-tuple of $N\times N$ independent GUE random matrices and $Z^...
63 pagesInternational audienceLet $\mathbf X_N= (X_1^{(N)} \etc X_p^{(N)})$ be a family of $N \times...
11 pagesWe show that, for sequences of vectors of multiple Wigner integrals with respect to a free B...
AbstractIn this paper we give new and purely analytical proofs of a number of classical results on t...
AbstractWe study the asymptotics of sums of matricially free random variables, called random pseudom...
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
We study Hermitian non-commutative quadratic polynomials of multiple independent Wigner matrices. We...
AbstractThe free Meixner laws arise as the distributions of orthogonal polynomials with constant-coe...
We prove that any non commutative polynomial of r independent copies of Wigner matrices converges a....
We study products of functions applied in self-adjoint polynomials in deterministic matrices and ind...
A combinatorial proof of Wigner’s semicircle law for the Gaussian Unitary Ensemble (GUE) is presente...
The thesis fits into the random matrix theory, in intersection with free probability and operator al...
We investigate the asymptotic behavior of the eigenvalues of spiked perturbations of Wigner matrices...
Cette thèse s'inscrit dans la théorie des matrices aléatoires, à l'intersection avec la théorie des ...
It is known that the joint limit distribution of independent Wigner matrices satisfies a very specia...
Let $X^N = (X_1^N,\dots, X^N_d)$ be a d-tuple of $N\times N$ independent GUE random matrices and $Z^...
63 pagesInternational audienceLet $\mathbf X_N= (X_1^{(N)} \etc X_p^{(N)})$ be a family of $N \times...
11 pagesWe show that, for sequences of vectors of multiple Wigner integrals with respect to a free B...
AbstractIn this paper we give new and purely analytical proofs of a number of classical results on t...
AbstractWe study the asymptotics of sums of matricially free random variables, called random pseudom...
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
We study Hermitian non-commutative quadratic polynomials of multiple independent Wigner matrices. We...
AbstractThe free Meixner laws arise as the distributions of orthogonal polynomials with constant-coe...