Universality in invariant random-matrix models: Existence near the soft edge
chao-dyn
2009-10-30 v1 Statistical Mechanics
High Energy Physics - Theory
Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9701005,
title = {Universality in invariant random-matrix models: Existence near the soft edge},
author = {E. Kanzieper and V. Freilikher},
journal= {arXiv preprint arXiv:chao-dyn/9701005},
year = {2009}
}
Comments
4 pages (revtex), to appear in Physical Review E