Large-Neigenvalue distribution of randomly perturbed asymmetric matrices

DOI10.1088/0305-4470/29/7/003zbMath0917.60035arXivcond-mat/9606175OpenAlexW3122078023MaRDI QIDQ4229738

Boris. A. Khoruzhenko

Publication date: 18 July 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9606175

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Limit theorems in probability theory (60F99)

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Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates ⋮ Unnamed Item ⋮ Non-hermitian random matrix models ⋮ Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism ⋮ Non-hermitian random matrix theory: Method of hermitian reduction ⋮ Asymmetry helps: eigenvalue and eigenvector analyses of asymmetrically perturbed low-rank matrices ⋮ Almost-Hermitian random matrices: Eigenvalue density in the complex plane ⋮ Location of the spectrum of Kronecker random matrices ⋮ Non-Hermitean delocalization: multiple scattering and bounds ⋮ Universal sum and product rules for random matrices ⋮ Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics

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