Publications [#347133] of Richard T. Durrett

Papers Published

1. Huo, R; Durrett, R, The Zealot voter model, Annals of Applied Probability, vol. 29 no. 5 (January, 2019), pp. 3128-3154 [doi]
   (last updated on 2024/08/31)

   Abstract:
   Inspired by the spread of discontent as in the 2016 presidential election, we consider a voter model in which 0's are ordinary voters and 1's are zealots. Thinking of a social network, but desiring the simplicity of an infinite object that can have a nontrivial stationary distribution, space is represented by a tree. The dynamics are a variant of the biased voter: if x has degree d(x) then at rate d(x)pk the individual at x consults k ≥ 1 neighbors. If at least one neighbor is 1, they adopt state 1, otherwise they become 0. In addition at rate p0 individuals with opinion 1 change to 0. As in the contact process on trees, we are interested in determining when the zealots survive and when they will survive locally.