  Correlation function of complex eigenvalues of N by N random matrices drawn
from non-Hermitean random matrix ensemble of symplectic symmetry is given in
terms of a quaternion determinant. Spectral properties of Gaussian ensembles
are studied in detail in the regimes of weak and strong non-Hermiticity.

Statistical Mechanics;High Energy Physics - Theory;Chaotic Dynamics;Exactly Solvable and Integrable Systems