203 citations · 283 across the 16 of their papers we have counts for
20 papers
Outliers of perturbations of banded Toeplitz matrices
Charles Bordenave, François Chapon, Mireille Capitaine
Toeplitz matrices form a rich class of possibly non-normal matrices whose asymptotic spectral analysis in high dimension is well-understood. The spectra of these matrices are notor…
Strong convergence of tensor products of independent G.U.E. matrices
Serban Belinschi, Mireille Capitaine
Given tuples of properly normalized independent G.U.E. matrices and , we show that the tuple $(X_N^{(1)}\…
Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices
Serban Belinschi, Mireille Capitaine, Sandrine Dallaporta +1
We investigate the fluctuations around the mean of the Stieltjes transform of the empirical spectral distribution of any selfadjoint noncommutative polynomial in a Wigner matrix an…
Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices
Serban Belinschi, Charles Bordenave, Mireille Capitaine +1
We consider a square random matrix of size of the form where is a noncommutative polynomial, is a tuple of deterministic matrices converging in -distribu…
Non universality of fluctuations of outliers for Hermitian polynomials in a complex Wigner matrix and a spiked diagonal matrix
Mireille Capitaine
We study the fluctuations associated to the a.s. convergence, established by Belinschi-Bercovici-Capitaine, of the outliers of an Hermitian polynomial in a complex Wigner matrix an…
Non universality of fluctuations of outlier eigenvectors for block diagonal deformations of Wigner matrices
Mireille Capitaine, Catherine Donati-Martin
In this paper, we investigate the fluctuations of a unit eigenvector associated to an outlier in the spectrum of a spiked complex Deformed Wigner matrix : $M_N =W_…