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Type: Artigo de periódico
Title: The V-density Of Eigenvalues Of Non Symmetric Random Matrices And Rigorous Proof Of The Strong Circular Law
Author: Girko V.L.
Abstract: We review some results obtained in series of papers on non Hermitian random matrices in some problems of spin glasses and neural nets. We present new theory of such matrices on the basis of the V-transform of normalized spectral function (n.s.f.) ν n(x,y) of the eigenvalues of non symmetric matrix Ξ with n.s.f. μ n(x,τ) of the eigenvalues of the Hermitian G-matrix (Ξ-τI) (Ξ - τI) *, τ = t + is: (Formula Presented) where ε > 0. This article discusses methodological approach which allows one to obtain rigorous proof of the strong Circular law and to describe the region where the eigenvalues of large non Hermitian random matrices are distributed. © 1997 VSP.
Rights: fechado
Identifier DOI: 
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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