203 citations · 283 across the 16 of their papers we have counts for
18 papers · 1 filter
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…
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_…
Limiting eigenvectors of outliers for Spiked Information-Plus-Noise type matrices
Mireille Capitaine
We consider an Information-Plus-Noise type matrix where the Information matrix is a spiked matrix. When some eigenvalues of the random matrix separate from the bulk, we study how t…