THE ZEALOT VOTER MODEL

• 成果类型: Article
• 署名作者: Huo, Ran; Durrett, Rick
• 署名单位: Duke University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/19-AAP1476
• 发表日期: 2019
• 页码: 3128-3154
• 关键词: contact process

摘要

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)p(k) 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 p(0) 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.