Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||The V-density Of Eigenvalues Of Non Symmetric Random Matrices And Rigorous Proof Of The Strong Circular Law|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.