Spectra of large random matrices: A method of study

Details Spectra of large random matrices: A method of study Spectra of large random matrices: A method of study

1998-09-27

arxiv.org/abs/cond-mat/9809365v1

NATO ASI, Series C (Math. and Phys. Sciences), Vol. 531, p. 165 - 211 (Kluwer, Dordrecht, 1999)

Physics

Condensed Matter

Statistical Mechanics

47 pages; to appear in: Diffuse Waves in Complex Media, edited by J. P. Fouque, NATO ASI Series (Kluwer, Dordrecht, 1999)

Scientific paper

A formalism for study of spectral correlations in non-Gaussian, unitary invariant ensembles of large random matrices with strong level confinement is reviewed. It is based on the Shohat method in the theory of orthogonal polynomials. The approach presented is equally suitable for description of both local and global spectral characteristics, thereby providing an overall look at the phenomenon of spectral universality in Random Matrix Theory.

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