Large scale correlations in normal and general non-Hermitian matrix ensembles

We compute the large scale (macroscopic) correlations in ensembles of normal random matrices with an arbitrary measure and in ensembles of general nonHermition matrices with a class of non-Gaussian measures. In both cases the eigenvalues are complex and in the large N limit they occupy a domain in the complex plane. For the case when the support of… (More)