Large-Neigenvalue distribution of randomly perturbed asymmetric matrices
- 7 April 1996
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (7) , L165-L169
- https://doi.org/10.1088/0305-4470/29/7/003
Abstract
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 .Keywords
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This publication has 12 references indexed in Scilit:
- Chaotic scattering: the supersymmetry method for large number of channelsNuclear Physics A, 1995
- CONTROL OF THE TRANSITION TO CHAOS IN NEURAL NETWORKS WITH RANDOM CONNECTIVITYInternational Journal of Bifurcation and Chaos, 1993
- Statistics of complex levels of random matrices for decaying systemsZeitschrift für Physik B Condensed Matter, 1992
- Chaos in Random Neural NetworksPhysical Review Letters, 1988
- Spectrum of Large Random Asymmetric MatricesPhysical Review Letters, 1988
- On a statistical theory of overlapping resonancesPhysics Letters B, 1988
- Random-matrix physics: spectrum and strength fluctuationsReviews of Modern Physics, 1981
- On the spectrum of random matricesTheoretical and Mathematical Physics, 1972
- DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICESMathematics of the USSR-Sbornik, 1967
- Statistical Ensembles of Complex, Quaternion, and Real MatricesJournal of Mathematical Physics, 1965