The single ring theorem

From MaRDI portal
Publication:640810

DOI10.4007/annals.2011.174.2.10zbMath1239.15018arXiv0909.2214OpenAlexW2137616317MaRDI QIDQ640810

Ofer Zeitouni, Manjunath Krishnapur, Alice Guionnet

Publication date: 20 October 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2214



Related Items

Outliers in the single ring theorem, Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates, Exact relation between singular value and eigenvalue statistics, Eta-diagonal distributions and infinite divisibility for R-diagonals, Orthogonal polynomials for a class of measures with discrete rotational symmetries in the complex plane, Permanental processes from products of complex and quaternionic induced Ginibre ensembles, Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach, An inequality for the distance between densities of free convolutions, Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method, Smallest singular value and limit eigenvalue distribution of a class of non-Hermitian random matrices with statistical application, Local circular law for random matrices, The norm of polynomials in large random and deterministic matrices, Support convergence in the single ring theorem, Local single ring theorem on optimal scale, Limiting spectral distribution of the product of truncated Haar unitary matrices, Quantitative invertibility of non-Hermitian random matrices, The Brown measure of a family of free multiplicative Brownian motions, Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials, Random matrices with prescribed eigenvalues and expectation values for random quantum states, Random normal matrices in the almost-circular regime, Around the circular law, An induced real quaternion spherical ensemble of random matrices, Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem, Unnamed Item, Convergence of the spectral measure of non-normal matrices, On estimation in the reduced-rank regression with a large number of responses and predictors, Invertibility of random matrices: Unitary and orthogonal perturbations, On the singularity of adjacency matrices for random regular digraphs, Local law of addition of random matrices on optimal scale, Eigenvectors of non normal random matrices, Circular law for the sum of random permutation matrices, Local inhomogeneous circular law, Invertibility of sparse non-Hermitian matrices, Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds, Limiting spectral distribution of random \(k\)-circulants, Spectral gap of sparse bistochastic matrices with exchangeable rows, Brown measure and asymptotic freeness of elliptic and related matrices, The circular law for random regular digraphs, On the extreme value statistics of normal random matrices and 2D Coulomb gases: Universality and finiteNcorrections, REGULARIZATION OF NON-NORMAL MATRICES BY GAUSSIAN NOISE—THE BANDED TOEPLITZ AND TWISTED TOEPLITZ CASES, Outlier Eigenvalues for Deformed I.I.D. Random Matrices, Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices, Spectral rigidity for addition of random matrices at the regular edge, On eigenvalue distributions of large autocovariance matrices, Discrete integrable systems and random Lax matrices, Circular law for random matrices with unconditional log-concave distribution, The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element



Cites Work