Mj. Deoliveira et Je. Satulovsky, RENORMALIZATION-GROUP OF PROBABILISTIC CELLULAR-AUTOMATA WITH ONE ABSORBING STATE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6377-6383
We apply a recently proposed dynamically driven renormalization group
scheme to probabilistic cellular automata having one absorbing state.
We have found just one unstable fixed point with one relevant directio
n. In the limit of small transition probability one of the cellular au
tomata reduces to the contact process, revealing that the cellular aut
omata are in the same universality class as that process, as expected.
Better numerical results are obtained as the approximations for the s
tationary distribution are improved.