Abstract
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 the 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 semi-classical principle of minimal correlations. We discuss the derivation of this result in a multi-node case.