Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Central limit theorems for eigenvalues of deformations of Wigner matrices - MaRDI portal

Central limit theorems for eigenvalues of deformations of Wigner matrices

From MaRDI portal
Publication:2428947

DOI10.1214/10-AIHP410zbMath1237.60007arXiv0903.4740MaRDI QIDQ2428947

Mireille Capitaine, Delphine Féral, Catherine Donati-Martin

Publication date: 22 April 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4740




Related Items (33)

Eigenvalues of stochastic blockmodel graphs and random graphs with low-rank edge probability matricesAsymptotic Theory of Eigenvectors for Random Matrices With Diverging SpikesFluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interactionStatistical inference for principal components of spiked covariance matricesOutliers in the single ring theoremSingular vector and singular subspace distribution for the matrix denoising modelMesoscopic perturbations of large random matricesEigenvalues outside the bulk of inhomogeneous Erdős-Rényi random graphsErratum to: Outliers in the spectrum of iid matrices with bounded rank perturbationsOutliers in the spectrum for products of independent random matricesTarget detection and characterization from electromagnetic induction dataCorrection to: ``Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interactionOutliers in spectrum of sparse Wigner matricesLarge deviations of the extreme eigenvalues of random deformations of matricesSample canonical correlation coefficients of high-dimensional random vectors with finite rank correlationsComplex outliers of Hermitian random matricesOn finite rank deformations of Wigner matricesSpiked multiplicative random matrices and principal componentsFinite rank perturbations of heavy-tailed Wigner matricesThe singular values and vectors of low rank perturbations of large rectangular random matricesThe outliers of a deformed Wigner matrixCanonical correlation coefficients of high-dimensional Gaussian vectors: finite rank caseFluctuations of matrix entries of regular functions of Wigner matricesFerromagnetic to paramagnetic transition in spherical spin glassSpectral statistics of non-Hermitian random matrix ensemblesRandom matrix ensembles with split limiting behaviorNon universality of fluctuations of outlier eigenvectors for block diagonal deformations of Wigner matricesNonuniversality of fluctuations of outliers for Hermitian polynomials in a complex Wigner matrix and a spiked diagonal matrixOn the spectrum of random anti-symmetric and tournament matricesOutlier Eigenvalues for Deformed I.I.D. Random MatricesEigenvector distribution in the critical regime of BBP transitionLimiting distribution of the sample canonical correlation coefficients of high-dimensional random vectorsThe Isotropic Semicircle Law and Deformation of Wigner Matrices



Cites Work


This page was built for publication: Central limit theorems for eigenvalues of deformations of Wigner matrices