EIGENVALUE STATISTICS OF DISTORTED RANDOM MATRICES

A numerical study of a set of random matrices which interpolate Poisson and Gaussian orthogonal ensembles is reported. The result indicates that the transition from Poisson to Wigner distributions for the nearest-level spacing does not depend on the details of the random-matrix parametrization and is essentially governed by a single parameter. Brodys one-parameter interpolation formula is found to describe the transition rather well. © 1990 The American Physical Society.