scientific article
From MaRDI portal
Publication:3128730
DOI10.1155/S1073792896000633zbMath0872.15018OpenAlexW158275900MaRDI QIDQ3128730
Publication date: 9 October 1997
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/s1073792896000633
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Random matrices (algebraic aspects) (15B52)
Related Items (53)
Wigner and Wishart ensembles for sparse Vinberg models ⋮ Local semicircle law for Curie-Weiss type ensembles ⋮ Matricial circular systems and random matrices ⋮ Large deviations for the largest eigenvalue of matrices with variance profiles ⋮ The limiting distributions of large heavy Wigner and arbitrary random matrices ⋮ Rectangular random matrices, related convolution ⋮ Analysis of the limiting spectral measure of large random matrices of the separable covariance type ⋮ Random matrices with log-range correlations, and log-Sobolev inequalities ⋮ Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach ⋮ Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem ⋮ Spectral properties for the Laplacian of a generalized Wigner matrix ⋮ Universality for general Wigner-type matrices ⋮ Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane ⋮ Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices ⋮ Matrix concentration inequalities and free probability ⋮ Cumulants for finite free convolution ⋮ A unified approach to infinitesimal freeness with amalgamation ⋮ Asymptotic freeness of unitary matrices in tensor product spaces for invariant states ⋮ Singular value distribution of dense random matrices with block Markovian dependence ⋮ The Dyson equation with linear self-energy: spectral bands, edges and cusps ⋮ Asymptotic properties of random matrices and pseudomatrices ⋮ On operator-valued semicircular random variables ⋮ Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup ⋮ Freeness over the diagonal for large random matrices ⋮ Deterministic equivalents for certain functionals of large random matrices ⋮ Local Semicircle Law under Moment Conditions: The Stieltjes Transform, Rigidity, and Delocalization ⋮ Traffic distributions of random band matrices ⋮ Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds ⋮ Cleaning large correlation matrices: tools from random matrix theory ⋮ On the asymptotic distribution of block-modified random matrices ⋮ Subordination methods for free deconvolution ⋮ Limit distributions of random matrices ⋮ Concentration of the empirical spectral distribution of random matrices with dependent entries ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth ⋮ Inhomogeneous circular law for correlated matrices ⋮ On fluctuations of global and mesoscopic linear statistics of generalized Wigner matrices ⋮ On the global fluctuations of block Gaussian matrices ⋮ Quadratic Vector Equations On Complex Upper Half-Plane ⋮ On the construction of free random variables ⋮ Empirical spectral distribution of a matrix under perturbation ⋮ A general solution to (free) deterministic equivalents ⋮ Two short pieces around the Wigner problem ⋮ Convolution powers in the operator-valued framework ⋮ Aspects of free analysis ⋮ Limit Theorems for Two Classes of Random Matrices with Dependent Entries ⋮ Hyperinvariant subspaces for some \(B\)-circular operators ⋮ Random regularization of Brown spectral measure ⋮ Typical relaxation of perturbed quantum many-body systems ⋮ Spectra of adjacency and Laplacian matrices of inhomogeneous Erdős–Rényi random graphs ⋮ Non-Hermitian random matrices with a variance profile. II: properties and examples ⋮ Linear eigenvalue statistics of random matrices with a variance profile ⋮ Multinomial identities arising from free probability theory. ⋮ A CLT for a band matrix model
This page was built for publication:
