  We prove a large deviation principle for the finite dimensional marginals of
the Gibbs distribution of the macroscopic `overlap'-parameters in the Hopfield
model in the case where the number of random patterns, $M$, as a function of
the system size $N$ satisfies $\limsup M(N)/N=0$. In this case the rate
function (or free energy as a function of the overlap parameters) is
independent of the disorder for almost all realization of the patterns and
given by an explicit variational formula.
