Novel universal correlations in invariant random-matrix models

Details Novel universal correlations in invariant random-matrix models Novel universal correlations in invariant random-matrix models

1997-01-05

arxiv.org/abs/chao-dyn/9701006v1

Physical Review Letters 78, 3806 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages (revtex)

Scientific paper

10.1103/PhysRevLett.78.3806

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.

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