  We show that the dynamical order parameters can be reexpressed in terms of
the distribution of the staggered auto-correlation and response functions. We
calculate these distributions for the out of equilibrium dynamics of the
Sherrington-Kirpatrick model at long times. The results suggest that the
landscape this model visits at different long times in an out of equilibrium
relaxation process is, in a sense, self-similar. Furthermore, there is a
similarity between the landscape seen out of equilibrium at long times and the
equilibrium landscape. The calculation is greatly simplified by making use of
the superspace notation in the dynamical approach. This notation also
highlights the rather mysterious formal connection between the dynamical and
replica approaches.
