Density of eigenvalues of random normal matrices
classification
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matricesnormaldensityeigenvaluesrandomasymptoticboundedclass
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The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrodin is made rigorous by restricting normal matrices to have spectrum in a bounded set. It is shown that for a suitable class of potentials the asymptotic density of eigenvalues is uniform with support in the interior domain of a simple smooth curve.
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