Random Matrices close to Hermitian or unitary: overview of methods and results

Details Random Matrices close to Hermitian or unitary: overview of methods and results Random Matrices close to Hermitian or unitary: overview of methods and results

2002-07-26

arxiv.org/abs/nlin/0207051v3

J.Phys.A:Math.Gen. v.36 (2003), 3303-3347

Nonlinear Sciences

Chaotic Dynamics

Published version, with a few more misprints corrected

Scientific paper

10.1088/0305-4470/36/12/326

The paper discusses progress in understanding statistical properties of complex eigenvalues (and corresponding eigenvectors) of weakly non-unitary and non-Hermitian random matrices. Ensembles of this type emerge in various physical contexts, most importantly in random matrix description of quantum chaotic scattering as well as in the context of QCD-inspired random matrix models.

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