  . We study the statistical properties of the eigenvalues of non-Hermitian
operators assoicated with the dissipative complex systems. By considering the
Gaussian ensembles of such operators, a hierarchical relation between the
correlators is obtained. Further the eigenvalues are found to behave like
particles moving on a complex plane under 2-body (inverse square) and 3-body
interactions and there seems to underlie a deep connection and universality in
the spectral behaviour of different complex systems. .
