# 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:

- (Service de Physique Theorique, CEA Saclay, F-91191 Gif-Sur-Yvette (France))
- (Marian Smoluchowski Institute of Physics, Jagellonian University, 30-059 Krakow (Poland))
- (GSI, Planckstrasse 1, D-64291 Darmstadt (Germany))
- (CNR, Department of Physics, KSU, Kent, Ohio 44242 and Institute for Theoretical Physics, Eoetvoes University, Budapest (Hungary))
- (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}

}

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