Random Hermitian versus random non-Hermitian operators—unexpected links

DOI10.1088/0305-4470/39/32/S12zbMath1117.81046OpenAlexW1972288021MaRDI QIDQ5485507

Maciej A. Nowak, Andrzej Jarosz

Publication date: 30 August 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/32/s12

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach ⋮ Unveiling the significance of eigenvectors in diffusing non-Hermitian matrices by identifying the underlying Burgers dynamics ⋮ Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem ⋮ Ornstein–Uhlenbeck diffusion of hermitian and non-hermitian matrices—unexpected links ⋮ Spectra of large time-lagged correlation matrices from random matrix theory ⋮ A note on mixed matrix moments for the complex Ginibre ensemble ⋮ The Brown measure of the sum of a self-adjoint element and an elliptic element ⋮ Universal sum and product rules for random matrices ⋮ Random-matrix theory for the Lindblad master equation ⋮ The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element

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