Abstract
The average eigenvalue distribution of real random asymmetric matrices is calculated in the limit of . It is found that is uniform in an ellipse, in the complex plane, whose real and imaginary axes are and , respectively. The parameter is given by and is normalized to 1. In the limit, Wigner's semicircle law is recovered. The results are extended to complex asymmetric matrices.
- Received 29 January 1988
DOI:https://doi.org/10.1103/PhysRevLett.60.1895
©1988 American Physical Society