Novel universal correlations in invariant random-matrix models

Preprint

5 January 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9701006

Abstract

We show that eigenvalue correlations in unitary-invariant ensembles of large random matrices adhere to novel universal laws that only depend on a multicriticality of the bulk density of states near the soft edge of the spectrum. Our consideration is based on the previously unknown observation that genuine density of states and n-point correlation function are completely determined by the Dyson's density analytically continued onto the whole real axis.

Keywords

EIGENVALUE CORRELATIONS
UNIVERSAL CORRELATIONS
DENSITY OF STATES
INVARIANT RANDOM
NOVEL UNIVERSAL
RANDOM MATRIX
MATRIX MODELS
ADHERE

All Related Versions

Version 1, 1997-01-05, ArXiv
Published version: Physical Review Letters, 78 (20), 3806.

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