Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices

Yogesh N. Joglekar, William A. Karr

We investigate the level-density $\sigma (x)$ and level-spacing distribution $p(s)$ of random matrices $M=AF\ne M^{†}$ where $F$ is a (diagonal) inner-product and $A$ is a random,…