Random matrices close to Hermitian or unitary: overview of methods and results
Copyright policy )Random matrices close to Hermitian or unitary: overview of methods and results
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.
Published version, with a few more misprints corrected
- Brunel University United Kingdom
- Brunel University London United Kingdom
- University of Duisburg-Essen Germany
Stochastic methods applied to problems in equilibrium statistical mechanics, non-Hermitian and non-unitary deformation, Random matrices (algebraic aspects), Condensed Matter - Mesoscale and Nanoscale Physics, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Other physical applications of random processes, Nonlinear Sciences - Chaotic Dynamics, random matrices
Stochastic methods applied to problems in equilibrium statistical mechanics, non-Hermitian and non-unitary deformation, Random matrices (algebraic aspects), Condensed Matter - Mesoscale and Nanoscale Physics, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Other physical applications of random processes, Nonlinear Sciences - Chaotic Dynamics, random matrices
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