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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...

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Publication status:
Published

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Publisher copy:
10.1103/PhysRevLett.81.3367

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, 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
URN:
uuid:87b988f6-1855-4b26-8c33-966c95d29768
Source identifiers:
15078
Local pid:
pubs:15078
Language:
English
Keywords:

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