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The single ring theorem - MaRDI portal

The single ring theorem (Q640810)

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Language	Label	Description	Also known as
English	The single ring theorem	scientific article

Statements

scholarly article

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The single ring theorem (English)

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Manjunath Krishnapur

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Annals of Mathematics. Second Series

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publication date

20 October 2011

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full work available at URL

https://arxiv.org/abs/0909.2214

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zbMATH Keywords

noncommutative measure

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random matrices

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Schwinger-Dyson equation

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eigenvalues

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Feinberg-Zee single ring theorem

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MaRDI profile type

MaRDI publication profile

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An Introduction to Random Matrices

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Computation of some examples of Brown's spectral measure in free probability

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Asymptotics of unitary and orthogonal matrix integrals

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Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism

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On the mean density of complex eigenvalues for an ensemble of random matrices with prescribed singular values

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Statistical Ensembles of Complex, Quaternion, and Real Matrices

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The circular law for random matrices

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Large random matrices: Lectures on macroscopic asymptotics. École d'Été des Probabilités de Saint-Flour XXXVI -- 2006

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Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras

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Invariant subspaces for operators in a general \(\text{II}_{1}\)-factor

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Brown measures of unbounded operators affiliated with a finite von Neumann algebra

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A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group

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On the Eigenvalues of a Matrix with Prescribed Singular Values

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Eigenvalue statistics of random real matrices

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$R$-diagonal pairs - a common approach to Haar unitaries and circular elements

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Circular law, extreme singular values and potential theory

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Bulk universality and related properties of Hermitian matrix models

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Smoothed Analysis of the Condition Numbers and Growth Factors of Matrices

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Random regularization of Brown spectral measure

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RANDOM MATRICES: THE CIRCULAR LAW

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Random matrices: universality of ESDs and the circular law

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Limit laws for random matrices and free products

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The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information

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Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

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Truncations of random unitary matrices

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Identifiers

zbMATH Open document ID

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10.4007/annals.2011.174.2.10

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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:640810

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