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Random perturbations of matrix polynomials (Q2116469)

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Language	Label	Description	Also known as
English	Random perturbations of matrix polynomials	scientific article

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scholarly article

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Random perturbations of matrix polynomials (English)

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Michał Wojtylak

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Journal of Theoretical Probability

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publication date

17 March 2022

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full work available at URL

https://arxiv.org/abs/1703.01858

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zbMATH Keywords

matrix polynomial

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eigenvalue

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random matrix

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limit distribution of eigenvalues

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On the distribution of poles of Padé approximants to the \(Z\)-transform of complex Gaussian white noise

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ON THE UNIVERSALITY OF THE DISTRIBUTION OF THE GENERALIZED EIGENVALUES OF A PENCIL OF HANKEL RANDOM MATRICES

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Generic rank-k Perturbations of Structured Matrices

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Universal analytic properties of noise: introducing the<i>J</i>-matrix formalism

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Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices

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Large deviations of the extreme eigenvalues of random deformations of matrices

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The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices

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Exponential bounds for the support convergence in the single ring theorem

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Outliers in the single ring theorem

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Mathematical optimization of in vivo NMR chemistry through the fast Padé transform: Potential relevance for early breast cancer detection by magnetic resonance spectroscopy

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Isotropic local laws for sample covariance and generalized Wigner matrices

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Local circular law for random matrices

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Around the circular law

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Outlier Eigenvalues for Deformed I.I.D. Random Matrices

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Remarks on \(t\)-transformations of measures and convolutions

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Spectral measure of large random Hankel, Markov and Toeplitz matrices

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The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations

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Free convolution with a semicircular distribution and eigenvalues of spiked deformations of Wigner matrices

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Low Rank Perturbation of Kronecker Structures without Full Rank

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Low rank perturbation of regular matrix polynomials

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Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law

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Rigidity of eigenvalues of generalized Wigner matrices

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The largest eigenvalue of rank one deformation of large Wigner matrices

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Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems

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Isotropic self-consistent equations for mean-field random matrices

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Rank one non-Hermitian perturbations of Hermitian \(\beta \)-ensembles of random matrices

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The Isotropic Semicircle Law and Deformation of Wigner Matrices

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Anisotropic local laws for random matrices

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Perturbation Theory for Analytic Matrix Functions: The Semisimple Case

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Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

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Polynomial Eigenvalue Problems: Theory, Computation, and Structure

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The Quadratic Eigenvalue Problem

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Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations

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Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations

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Jordan forms of real and complex matrices under rank one perturbations

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Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations

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Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations

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Stability radii for real linear Hamiltonian systems with perturbed dissipation

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Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils

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On the spectral properties of a class of \(H\)-selfadjoint random matrices and the underlying combinatorics

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On finite rank deformations of Wigner matrices

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Complex outliers of Hermitian random matrices

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Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations

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Characteristic vectors of bordered matrices with infinite dimensions

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On a class of \(H\)-selfadjont random matrices with one eigenvalue of nonpositive type

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Identifiers

zbMATH Open document ID

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10.1007/s10959-020-01048-3

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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:2116469

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