Universal Behavior of Correlations between Eigenvalues of Random Matrices

Details Universal Behavior of Correlations between Eigenvalues of Random Matrices Universal Behavior of Correlations between Eigenvalues of Random Matrices

1994-09-22

arxiv.org/abs/cond-mat/9409095v1

Physics

Condensed Matter

ISSP-September-1994

Scientific paper

10.1103/PhysRevE.51.5365

The universal connected correlations proposed recently between eigenvalues of
unitary random matrices is examined numerically. We perform an ensemble average
by the Monte Carlo sampling. Although density of eigenvalues and a bare
correlation of the eigenvalues are not universal, the connected correlation
shows a universal behavior after smoothing.

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