B Khoruzhenko 1996 J. Phys. A: Math. Gen. 29 L165 doi:10.1088/0305-4470/29/7/003
Large- N eigenvalue distribution of randomly perturbed asymmetric matrices
B Khoruzhenko
Show affiliationsLETTER TO THE EDITOR
The density of complex eigenvalues of random asymmetric 
matrices is found in the large-N limit. The matrices are of the form 
where A is a matrix of 
independent, identically distributed random variables with zero mean and variance 
. The limiting density 
is bounded. The area of the support of cannot be less than 
. In the case of 
commuting with its conjugate, is expressed in terms of the eigenvalue distribution of the non-perturbed part .
- PACS
- MSC
-
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
- Subjects
- Dates
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Issue 7 (7 April 1996)
Received 14 November 1995
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Large- N eigenvalue distribution of randomly perturbed asymmetric matrices
B Khoruzhenko 1996 J. Phys. A: Math. Gen. 29 L165
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