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 combin ing the previous results with singular perturbation theory, more compl icated problems can be tackled. A scaling argument is also presented t o 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.