Novel universal correlations in invariant random-matrix models

E. Kanzieper; V. Freilikher

doi:10.1103/physrevlett.78.3806

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arXiv · chao-dyn/9701006

Novel universal correlations in invariant random-matrix models

E. Kanzieper·V. Freilikher

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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.

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chao-dyn cond-mat.stat-mech hep-th nlin.CD

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E. Kanzieper, V. Freilikher. 1997-01-05. Novel universal correlations in invariant random-matrix models. https://doi.org/10.1103/physrevlett.78.3806

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