1999/09/06 by Romuald A. Janik, Maciej A. Nowak, Janik, Romuald A. +5
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #chao-dyn #cond-mat.dis-nn #hep-ph #nlin.CD
paper · pdf · doi:10.48550/arxiv.cond-mat/9909085
Based on talks by R.A. Janik at the CIRM workshop `Free probability and applications' Marseille 1998, and by M.A. Nowak at the MPI workshop on `Dynamics of Complex Systems' Dresden 1999. 8 pages, 3 figures, uses espcrc2.sty
arxiv created 1999/09/06 · arxiv updated 2009/11/30
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.