2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146791The 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.17 pages. Corrected versionQuantum AlgebraProbability15A52 (primary)text