Spectra of large random matrices: A method of study
Statistical Mechanics
2016-08-31 v1 chao-dyn
Disordered Systems and Neural Networks
High Energy Physics - Theory
Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9809365,
title = {Spectra of large random matrices: A method of study},
author = {E. Kanzieper and V. Freilikher},
journal= {arXiv preprint arXiv:cond-mat/9809365},
year = {2016}
}
Comments
47 pages; to appear in: Diffuse Waves in Complex Media, edited by J. P. Fouque, NATO ASI Series (Kluwer, Dordrecht, 1999)