SELF-CONSISTENT PERTURBATION-THEORY FOR RANDOM-MATRIX ENSEMBLES .2.

A method to evaluate perturbations of arbitrary spectra by one of the classical ensembles was presented in a previous paper. Its application to non-trivial problems is cumbersome and I shall show that by combining the previous results with singular perturbation theory, more complicated problems can be tackled. A scaling argument is also presented to obtain a general result that goes beyond the linear repulsion regime that we discussed previously. This result is of considerable interest as it allows us to obtain a good idea of the correlation function if we, in addition, know ifs long-range behaviour, which can be obtained by straightforward perturbation theory.