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Title: Correlations of eigenvectors for non-Hermitian random-matrix models

Abstract

We establish a general relation between the diagonal correlator of eigenvectors and the spectral Green[close quote]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. [copyright] [ital 1999] [ital The American Physical Society]

Authors:
 [1]; ;  [2]; ;  [3];  [4];  [5]
  1. (Service de Physique Theorique, CEA Saclay, F-91191 Gif-Sur-Yvette (France))
  2. (Marian Smoluchowski Institute of Physics, Jagellonian University, 30-059 Krakow (Poland))
  3. (GSI, Planckstrasse 1, D-64291 Darmstadt (Germany))
  4. (CNR, Department of Physics, KSU, Kent, Ohio 44242 and Institute for Theoretical Physics, Eoetvoes University, Budapest (Hungary))
  5. (Department of Physics and Astronomy, SUNY at Stony Brook, Stony Brook, New York 11794 (United States))
Publication Date:
OSTI Identifier:
6466293
Alternate Identifier(s):
OSTI ID: 6466293
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 60:3; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; EIGENVECTORS; GAUSSIAN PROCESSES; GREEN FUNCTION; MATRICES; NUMERICAL ANALYSIS; RANDOMNESS; FUNCTIONS; MATHEMATICS 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Janik, R.A., Janik, R.A., Nowak, M.A., Noerenberg, W., Nowak, M.A., Papp, G., and Zahed, I. Correlations of eigenvectors for non-Hermitian random-matrix models. United States: N. p., 1999. Web. doi:10.1103/PhysRevE.60.2699.
Janik, R.A., Janik, R.A., Nowak, M.A., Noerenberg, W., Nowak, M.A., Papp, G., & Zahed, I. Correlations of eigenvectors for non-Hermitian random-matrix models. United States. doi:10.1103/PhysRevE.60.2699.
Janik, R.A., Janik, R.A., Nowak, M.A., Noerenberg, W., Nowak, M.A., Papp, G., and Zahed, I. Wed . "Correlations of eigenvectors for non-Hermitian random-matrix models". United States. doi:10.1103/PhysRevE.60.2699.
@article{osti_6466293,
title = {Correlations of eigenvectors for non-Hermitian random-matrix models},
author = {Janik, R.A. and Janik, R.A. and Nowak, M.A. and Noerenberg, W. and Nowak, M.A. and Papp, G. and Zahed, I.},
abstractNote = {We establish a general relation between the diagonal correlator of eigenvectors and the spectral Green[close quote]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. [copyright] [ital 1999] [ital The American Physical Society]},
doi = {10.1103/PhysRevE.60.2699},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = ,
volume = 60:3,
place = {United States},
year = {1999},
month = {9}
}