Ra. Monetti et Je. Satulovsky, APPLICATION OF A RENORMALIZATION-GROUP ALGORITHM TO NONEQUILIBRIUM CELLULAR-AUTOMATA WITH ONE ABSORBING STATE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 6289-6295
We improve a recently proposed dynamically driven renormalization grou
p algorithm for cellular automata systems with one absorbing state, in
troducing spatial correlations in the expression for the transition pr
obabilities. We implement the renormalization group scheme considering
three different approximations that take into account correlations in
the stationary probability distribution. The improved scheme is appli
ed to a probabilistic cellular automaton already introduced in the lit
erature.