Green's Functions in Non-hermitian Random Matrix Models

Details Green's Functions in Non-hermitian Random Matrix Models Green's Functions in Non-hermitian Random Matrix Models

1999-09-06

arxiv.org/abs/cond-mat/9909085v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Based on talks by R.A. Janik at the CIRM workshop `Free probability and applications' Marseille 1998, and by M.A. Nowak at the

Scientific paper

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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