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

2002/07/31 by Yan V Fyodorov, H. -J Sommers · 1 citation
Physics and Astronomy · #nlin.CD #cond-mat.mes-hall

paper · pdf · doi:10.1088/0305-4470/36/12/326

published as J.Phys.A:Math.Gen. v.36 (2003), 3303-3347 · Published version, with a few more misprints corrected

arxiv created 2003/05/08 · arxiv updated 2009/11/30

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.

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