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Correlations of Eigenvectors for Non-Hermitian Random-Matrix Models

arXiv:cond-mat/9902314 · doi:10.1103/PhysRevE.60.2699

Abstract

We establish a general relation between the diagonal correlator of eigenvectors and the spectral Green's function for non-hermitian random-matrix models in the large-N limit. We apply this result to a number of non-hermitian random-matrix models and show that the outcome is in good agreement with numerical results.

10 pages with 4 EPS figures included