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arxiv: cond-mat/9909085 · v1 · submitted 1999-09-06 · ❄️ cond-mat.dis-nn · chao-dyn· hep-ph· nlin.CD

Green's Functions in Non-hermitian Random Matrix Models

classification ❄️ cond-mat.dis-nn chao-dynhep-phnlin.CD
keywords non-hermitiancasefunctionsgreenmatrixmodelsrandomaddition
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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.

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