Journal article

### Eigenvector statistics in non-Hermitian random matrix ensembles

Abstract:

We study statistical properties of the eigenvectors of non-Hermitian random matrices, concentrating on Ginibre's complex Gaussian ensemble, in which the real and imaginary parts of each element of an N x N matrix, J, are independent random variables. Calculating ensemble averages based on the quantity $< L_\alpha | L_\beta > < R_\beta | R_\alpha >$, where $< L_\alpha |$ and $| R_\beta >$ are left and right eigenvectors of J, we show for large N that eigenvectors associated w...

Publication status:
Published

### Access Document

Publisher copy:
10.1103/PhysRevLett.81.3367

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
Phys. Rev. Lett.
Volume:
81
Issue:
16
Pages:
3367-3370
Publication date:
1998-09-04
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
Source identifiers:
15078
Language:
English
Keywords:
Pubs id:
pubs:15078
UUID:
uuid:87b988f6-1855-4b26-8c33-966c95d29768
Local pid:
pubs:15078
Deposit date:
2012-12-19