Green's functions in non-hermitian random matrix models

Romuald A. Janik; MacIej A. Nowak; Gábor Papp; Ismail Zahed

doi:10.1016/S1386-9477(00)00244-7

Green's functions in non-hermitian random matrix models

Romuald A. Janik
, MacIej A. Nowak
, Gábor Papp
, Ismail Zahed

Physics and Astronomy

CEA Saclay
Jagiellonian University in Kraków
GSI Helmholtz Centre for Heavy Ion Research
Korea Institute for Advanced Study
Kent State University
Eötvös Loránd University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We review some recent techniques for dealing with non-hermitian random matrix models based on generalized Green's functions. We introduce the diagrammatic methods in the hermitian case and generalize them to the non-hermitian case. The results are illustrated in terms of the eigenvalue distribution, eigenvector statistics and addition laws.

Original language	English
Pages (from-to)	456-462
Number of pages	7
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	9
Issue number	3
DOIs	https://doi.org/10.1016/S1386-9477(00)00244-7
State	Published - Mar 2001

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title = "Green's functions in non-hermitian random matrix models",

abstract = "We review some recent techniques for dealing with non-hermitian random matrix models based on generalized Green's functions. We introduce the diagrammatic methods in the hermitian case and generalize them to the non-hermitian case. The results are illustrated in terms of the eigenvalue distribution, eigenvector statistics and addition laws.",

author = "Janik, \{Romuald A.\} and Nowak, \{MacIej A.\} and G{\'a}bor Papp and Ismail Zahed",

year = "2001",

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T1 - Green's functions in non-hermitian random matrix models

AU - Janik, Romuald A.

AU - Nowak, MacIej A.

AU - Papp, Gábor

AU - Zahed, Ismail

PY - 2001/3

Y1 - 2001/3

N2 - We review some recent techniques for dealing with non-hermitian random matrix models based on generalized Green's functions. We introduce the diagrammatic methods in the hermitian case and generalize them to the non-hermitian case. The results are illustrated in terms of the eigenvalue distribution, eigenvector statistics and addition laws.

AB - We review some recent techniques for dealing with non-hermitian random matrix models based on generalized Green's functions. We introduce the diagrammatic methods in the hermitian case and generalize them to the non-hermitian case. The results are illustrated in terms of the eigenvalue distribution, eigenvector statistics and addition laws.

UR - https://www.scopus.com/pages/publications/0035283386

U2 - 10.1016/S1386-9477(00)00244-7

DO - 10.1016/S1386-9477(00)00244-7

M3 - Article

AN - SCOPUS:0035283386

SN - 1386-9477

VL - 9

SP - 456

EP - 462

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 3

ER -

Green's functions in non-hermitian random matrix models

Abstract

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