  A collisional $N$-body simulation using NBODY5 on a single CRAY YMP processor
is followed well into the post-collapse regime. This is presently one of the
largest particle numbers of all such models published, but some data for an
even larger $N$ produced by using special-purpose computers have recently been
presented. In contrast to previous ensemble-averaged $N$-body simulations the
noise here is low enough to just compare this one single run with the
expectations from statistical models based on the Fokker-Planck approximation.
Agreement is as good as could be expected for the case of the evolution of the
Lagrangian radii, radial and tangential velocity dispersions and various core
quantities. We briefly discuss approximate models to understand number and
energy of escapers and the question of gravothermal core oscillations; although
the system exhibits post-collapse oscillations they turn out to be directly
binary driven and we cannot prove the existence of a gravothermal expansion at
this particle number. Finally in a detailed examination of the wandering of the
density centre we find in contrast to some previous studies a clear long-time
period of the order of about 14 half-mass crossing times.
