Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices
Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices
We investigate the level density $\ensuremath{\sigma}(x)$ and the level-spacing distribution $p(s)$ of random matrices $M=\mathrm{AF}\ensuremath{\ne}{M}^{\ifmmode\dagger\else\textdagger\fi{}}$, where $F$ is a (diagonal) inner product and $A$ is a random, real, symmetric or complex, Hermitian matrix with independent entries drawn from a probability distribution $q(x)$ with zero mean and finite higher moments. Although …