Universality in invariant random-matrix models: Existence near the soft edge

Preprint

5 January 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9701005

Abstract

We consider two non-Gaussian ensembles of large Hermitian random matrices with strong level confinement and show that near the soft edge of the spectrum both scaled density of states and eigenvalue correlations follow so-called Airy laws inherent in Gaussian unitary ensemble. This suggests that the invariant one-matrix models should display universal eigenvalue correlations in the soft-edge scaling limit.

Keywords

EIGENVALUE CORRELATIONS
UNIVERSAL EIGENVALUE
DENSITY OF STATES
INVARIANT RANDOM
RANDOM MATRIX
MATRIX MODELS
STRONG LEVEL
SOFT EDGE
ENSEMBLE

All Related Versions

Version 1, 1997-01-05, ArXiv
Published version: Physical Review E, 55 (3), 3712.

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