PROPAGATION OF FRONTS IN CELLULAR-AUTOMATA

The problem of propagation of fronts (traveling fronts) is investigate d for two classes of two-dimensional cellular automata: simple totalis tic automata with states 0,1, and Greenberg-Hastings automata that mim ic infection processes. These automata are investigated with analytic and with simulation methods. In the deterministic case the exact shape s of (anisotropic) fronts are determined as well as the propagation sp eed in several directions. In the stochastic case the fronts are inves tigated by simulation.