Mathematics – Probability
Scientific paper
1998-11-17
J. Stat. Phys. 118 (2005), no. 3-4, 589--623.
Mathematics
Probability
18 pages
Scientific paper
10.1007/s10955-004-8822-4
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.
Belitsky Vladimir
Ferrari Pablo A.
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