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Deformed single ring theorems (Q6660808)

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scientific article; zbMATH DE number 7965129

Language	Label	Description	Also known as
English	Deformed single ring theorems	scientific article; zbMATH DE number 7965129

Statements

scholarly article

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Deformed single ring theorems (English)

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Journal of Functional Analysis

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publication date

10 January 2025

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zbMATH Keywords

non-Hermitian random matrices

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single ring theorem

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free probability

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Brown measure

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MaRDI profile type

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Local law of addition of random matrices on optimal scale

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Local single ring theorem on optimal scale

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Local stability of the free additive convolution

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Limiting spectral distribution of sum of unitary and orthogonal matrices

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The Brown measure of a sum of two free random variables, one of which is triangular elliptic

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The Lebesgue decomposition of the free additive convolution of two probability distributions

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Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method

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Local single ring theorem

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Spectrum of Markov Generators on Sparse Random Graphs

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Around the circular law

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Local circular law for random matrices

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The local circular law. II: The edge case

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The strong asymptotic freeness of Haar and deterministic matrices

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Averaging fluctuations in resolvents of random band matrices

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Local semicircle law and complete delocalization for Wigner random matrices

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

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

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Statistical Ensembles of Complex, Quaternion, and Real Matrices

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Interpolation zwischen den Klassen 𝔖<sub><i>p</i></sub> von Operatoren in Hilberträumen

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The single ring theorem

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

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

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

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On the iteration of functions which are analytic and single-valued in a given multiply-connected region.

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The Brown measure of the sum of a self-adjoint element and an elliptic element

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Brown measures of free circular and multiplicative Brownian motions with self-adjoint and unitary initial conditions

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Eigenvalues of sums of Hermitian matrices

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Subordination for the sum of two random matrices

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The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture

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The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone

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Free probability and random matrices

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

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Commutators of free random variables

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Lectures on the Combinatorics of Free Probability

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Invertibility of random matrices: Unitary and orthogonal perturbations

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Composition operators and classical function theory

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Random regularization of Brown spectral measure

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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 local circular law. III: General case

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Brown measure of \(R\)-diagonal operators, revisited

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Identifiers

10.1016/j.jfa.2024.110797

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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:6660808

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