Abstract
We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical φ 3 graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed automaton with varying rules and varying connectivity. In addition, we simulate the automaton on a fixed φ 3 graph coming from a 2D gravity simulation as a means of exploring the graph geometry.
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