  For a class of one-dimensional cellular automata, we review and complete the
characterization of the invariant measures (in particular, all invariant phase
separation measures), the rate of convergence to equilibrium, and the
derivation of the hydrodynamic limit. The most widely known representatives of
this class of automata are: Automaton 184 from the classification of S.
Wolfram, an annihilating particle system and a surface growth model.
