The deformed Gaussian orthogonal ensemble introduced earlier is developed here for large dimensional matrices. Both the spacing and eigenvector distributions are studied and compared to other ones suggested for the chaos-order transition problem. The concept of a universal lower entropy with respect to the Gaussian orthogonal ensemble entropy is proved very useful.

• Received 8 October 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.1089