Universality of local spectral statistics of random matrices (Q4899972): Difference between revisions

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+Random matrices: universality of local eigenvalue statistics
+Normal rank
+Similarity Score: 0.96532476Amount 0.96532476
Unit 1
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+.96532476
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+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Random matrices: universality of local spectral statistics of non-Hermitian matrices
+Normal rank
+Similarity Score: 0.9536425Amount 0.9536425
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+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
+Normal rank
+Similarity Score: 0.94796264Amount 0.94796264
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-Amount
+.94796264
 Unit
+Recommender Run: Recommender Run 3
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+Universality of local eigenvalue statistics in random matrices with external source
+Normal rank
+Similarity Score: 0.94108415Amount 0.94108415
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+.94108415
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+Recommender Run: Recommender Run 3
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+Random matrices: Universality of local eigenvalue statistics up to the edge
+Normal rank
+Similarity Score: 0.93954873Amount 0.93954873
Unit 1
-Amount
+.93954873
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Random covariance matrices: universality of local statistics of eigenvalues
+Normal rank
+Similarity Score: 0.9268004Amount 0.9268004
Unit 1
-Amount
+.9268004
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Universality of random matrices and local relaxation flow
+Normal rank
+Similarity Score: 0.91956246Amount 0.91956246
Unit 1
-Amount
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+Recommender Run: Recommender Run 3
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+Universality of the distribution functions of random matrix theory
+Normal rank
+Similarity Score: 0.9179326Amount 0.9179326
Unit 1
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+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+The local relaxation flow approach to universality of the local statistics for random matrices
+Normal rank
+Similarity Score: 0.91659975Amount 0.91659975
Unit 1
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+Recommender Run: Recommender Run 3
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+Universality of local eigenvalue statistics for some sample covariance matrices
+Normal rank
+Similarity Score: 0.91459477Amount 0.91459477
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Latest revision as of 17:24, 8 May 2025

scientific article; zbMATH DE number 6124308

Language	Label	Description	Also known as
English	Universality of local spectral statistics of random matrices	scientific article; zbMATH DE number 6124308

Statements

scholarly article

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Universality of local spectral statistics of random matrices (English)

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László Erdős

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Bulletin of the American Mathematical Society

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publication date

10 January 2013

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full work available at URL

https://arxiv.org/abs/1106.4986

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http://www.ams.org/journals/bull/2012-49-03/S0273-0979-2012-01372-1

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zbMATH Keywords

random matrix

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local semicircle law

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sine kernel

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Tracy-Widom distribution

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Dyson Brownian motion

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eigenvalues

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Wigner matrices

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invariant ensembles

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Hermitian matrices

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MaRDI profile type

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An Introduction to Random Matrices

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On the \(1/n\) expansion for some unitary invariant ensembles of random matrices

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Poisson convergence for the largest eigenvalues of heavy tailed random matrices

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Convergence rates of the spectral distributions of large Wigner matrices

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Universality of local eigenvalue statistics for some sample covariance matrices

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Level clustering in the regular spectrum

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Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

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Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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Correlations of nearby levels induced by a random potential

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A generalization of the Lindeberg principle

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Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.

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Universality in Random Matrix Theory for orthogonal and symplectic ensembles

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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Matrix models for beta ensembles

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Statistical Theory of the Energy Levels of Complex Systems. I

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A Brownian-Motion Model for the Eigenvalues of a Random Matrix

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Correlations between eigenvalues of a random matrix

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Quantum diffusion and eigenfunction delocalization in a random band matrix model

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Quantum diffusion and delocalization for band matrices with general distribution

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Bulk universality for Wigner matrices

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Bulk universality for Wigner Hermite matrices with subexponential decay

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Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation

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Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

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Local semicircle law and complete delocalization for Wigner random matrices

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Wegner Estimate and Level Repulsion for Wigner Random Matrices

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Universality of random matrices and local relaxation flow

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A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices

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Bulk universality for generalized Wigner matrices

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Universality for generalized Wigner matrices with Bernoulli distribution

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The isomonodromy approach to matrix models in 2D quantum gravity

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Sur la loi limite de l'espacement des valeurs propres d'une matrice ale´atoire

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Concentration of the spectral measure for large matrices

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The planar approximation. II

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Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices

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Universality for certain Hermitian Wigner matrices under weak moment conditions

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Eigenvector distribution of Wigner matrices

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A new approach to universality limits involving orthogonal polynomials

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A note on correlations between eigenvalues of a random matrix

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On the density of Eigenvalues of a random matrix

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Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles

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Bulk universality and related properties of Hermitian matrix models

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Eigenvector localization for random band matrices with power law band width

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On the lower bound of the spectral norm of symmetric random matrices with independent entries

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Wigner random matrices with non-symmetrically distributed entries

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Orthogonal and symplectic matrix models: universality and other properties

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A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices

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The Tracy-Widom law for some sparse random matrices

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Universality at the edge of the spectrum in Wigner random matrices.

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Random matrices: universality of local eigenvalue statistics

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Random matrices: Universality of local eigenvalue statistics up to the edge

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Random covariance matrices: universality of local statistics of eigenvalues

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Random matrices: universal properties of eigenvectors

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The Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices

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Level-spacing distributions and the Airy kernel

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On orthogonal and symplectic matrix ensembles

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Continuum limits of random matrices and the Brownian carousel

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On the relation between orthogonal, symplectic and unitary matrix ensembles

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Characteristic vectors of bordered matrices with infinite dimensions

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Relative entropy and hydrodynamics of Ginzburg-Landau models

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Identifiers

zbMATH Open document ID

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10.1090/S0273-0979-2012-01372-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4899972

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