Eigenvalue attraction

DOI10.1007/s10955-015-1424-5zbMath1356.15016arXiv1404.4113OpenAlexW3037437418MaRDI QIDQ267728

Ramis Movassagh

Publication date: 11 April 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4113

zbMATH Keywords

Hermitian matricesBrownian motionrandom matrix theorysymmetric matricescirculant matricesnormal matriceseigenvalue perturbation theoryHatano-Nelson model

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)

Related Items (5)

Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol ⋮ Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach ⋮ The distribution of overlaps between eigenvectors of Ginibre matrices ⋮ On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry ⋮ Full Dysonian dynamics of the complex Ginibre ensemble

Uses Software

• Matlab

Cites Work

• Random matrices: universality of local eigenvalue statistics
• The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
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• How many zeros of a random polynomial are real?
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
• The spectra of large Toeplitz band matrices with a randomly perturbed entry
• Wegner Estimate and Level Repulsion for Wigner Random Matrices
• Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed
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