  We address aspects of coarse-graining in classical Statistical Physics from
the viewpoint of the symplectic non-squeezing theorem. We make some comments
regarding the implications of the symplectic non-squeezing theorem for the
BBGKY hierarchy. We also see the cubic cells appearing in coarse-graining as a
direct consequence of the uniqueness of Hofer's metric on the group of
Hamiltonian diffeomorphisms of the phase space.
