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Density of eigenvalues of random normal matrices

Peter Elbau·Giovanni Felder
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Abstract

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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Peter Elbau, Giovanni Felder. 2005-03-07. Density of eigenvalues of random normal matrices. https://doi.org/10.1007/s00220-005-1372-z

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