  We present a detailed analytical study of a paradigmatic scale-free network
model, the Static Model. Analytical expressions for its main properties are
derived by using the hidden variables formalism. We map the model into a
canonic hidden variables one, and solve the latter. The good agreement between
our predictions and extensive simulations of the original model suggests that
the mapping is exact in the infinite network size limit. One of the most
remarkable findings of this study is the presence of relevant disassortative
correlations, which are induced by the physical condition of absence of self
and multiple connections.
