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

E. Kanzieper, V. Freilikher

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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 languageEnglish
Pages (from-to)3712-3715
Number of pages4
JournalPhysical Review E
Volume55
Issue number3
DOIs
StatePublished - 1997

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