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On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators
Pseudospectra Non-Self-Adjoint Random Matrices Operators
2011/8/22
Abstract: In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous determini...
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
Fluctuations of the extreme eigenvalues finite rank deformations of random matrices
2010/11/26
Consider a deterministic self-adjoint matrix Xn with spectral measure converging to a compactly supported probability measure, the largest and smallest eigenvalues converging to the edges of the limit...