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Eigenvector correlations in non-Hermitian random matrix ensembles

Abstract:

We analyse correlations of eigenvectors in Ginibre's and Girko's ensembles of Gaussian, non-Hermitian random N x N matrices J. We study the ensemble average of [L-alpha/L-beta] [R-beta/R-alpha], where [L-alpha\ and \R-beta] are the left and right eigenvectors of J. The case of Ginibre's ensemble, in which the real and imaginary parts of each element of J are independent random variables, is sufficiently symmetric to allow for an exact solution. In the more general case of Girko's ensemble, we...

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
ANNALEN DER PHYSIK More from this journal
Volume:
7
Issue:
5-6
Pages:
427-436
Publication date:
1998-01-01
Event title:
210 WE-Heraeus-Seminar on Percolation, Interaction, Localization - Simulations of Transport in Disordered Systems
DOI:
EISSN:
1521-3889
ISSN:
0003-3804
Keywords:
Pubs id:
pubs:25639
UUID:
uuid:c96fc6d7-73f2-45ce-a5a9-35a093dbcb73
Local pid:
pubs:25639
Source identifiers:
25639
Deposit date:
2012-12-19

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