Density of eigenvalues of random normal matrices

Details Density of eigenvalues of random normal matrices Density of eigenvalues of random normal matrices

2004-06-29

arxiv.org/abs/math/0406604v2

Comm. Math. Phys. 259 (2005), no. 2, 433--450

Mathematics

Quantum Algebra

17 pages. Corrected version

Scientific paper

10.1007/s00220-005-1372-z

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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