On the role of zealotry in the voter model

We study the voter model with a finite density of zealots-voters that never change opinion. For equal numbers of zealots of each species, the distribution of magnetization ( opinions) is Gaussian in the mean-field limit, as well as in one and two dimensions, with a width that is proportional to 1/root Z, where Z is the number of zealots, independent of the total number of voters. Thus just a few zealots can prevent consensus or even the formation of a robust majority.