DAMAGING 2D QUANTUM-GRAVITY

We investigate numerically the behaviour of damage spreading in a Kauf fman cellular automaton with quenched rules on a dynamical phi3 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 vary ing rules and varying connectivity. In addition, we simulate the autom aton on a fixed phi3 graph coming from a 2D gravity simulation as a me ans of exploring the graph geometry.