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 the Gaussian unitary ensemble. This suggests that the invariant one-matrix models should display universal eigenvalue correlations in the soft-edge scaling limit.
Original language | English |
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Pages (from-to) | 3712-3715 |
Number of pages | 4 |
Journal | Physical Review E |
Volume | 55 |
Issue number | 3 |
DOIs | |
State | Published - 1997 |