A METHOD FOR FINDING BOUNDS ON CRITICAL-VALUES FOR NON-ATTRACTIVE INTERACTING PARTICLE-SYSTEMS

The method is to use a computer to find a function for the process tha t always has negative expectation by considering all relevant configur ations of 0's and 1's at the boundary of a finite process in one dimen sion. It is shown that a branching annihilating random walk will die o ut if the diffusion parameter rho is greater than 0.176. The method ma y also be applied to attractive processes, and is used for the contact process in one dimension obtaining the same values as Ziezold and Gri llenberger (1988) for up to 10 places in from the boundaries.