Random matrices close to Hermitian or unitary: overview of methods and results
- 13 March 2003
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 36 (12) , 3303-3347
- https://doi.org/10.1088/0305-4470/36/12/326
Abstract
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.Keywords
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