  We apply the Dynamical Mean Field Theory to the problem of charge ordering.
In the normal state as well as in the Charge Ordered (CO) state the existence
of polarons, i.e. electrons strongly coupled to local lattice deformation, is
associated to the qualitative properties of the Lattice Polarization
Distribution Function (LPDF). At intermediate and strong coupling a CO state
characterized by a certain amount of thermally activated defects arise from the
spatial ordering of preexisting randomly distributed polarons. Properties of
this particular CO state gives a qualitative understanding of the low frequency
behavior of optical conductivity of $Ni$ perovskites.
