  We consider the current fluctuations in a mesoscopic circuit consisting of
nodes connected by arbitrary connectors, in a setup with multiple normal or
superconducting terminals. In the limit of weak superconducting proximity
effect, simplified equations for the second-order cross-correlators can be
derived from the general counting field theory, and the result coincides with
the semiclassical principle of minimal correlations. We discuss the derivation
of this result in a multi-dot case.
