ON TRANSIENT-BEHAVIOR OF A NEAREST-NEIGHBOR BIRTH-DEATH PROCESS ON A LATTICE

We provide the explicit expression for the mean coverage function of a generalized voter model on a regular lattice and establish a characte rization of the class of the above processes. As a result, we derive t he exact rate of convergence of the considered processes to the steady state. We also prove the existence of different processes with the sa me mean coverage function on a given lattice.