Translator Disclaimer
October 2019 The zealot voter model
Ran Huo, Rick Durrett
Ann. Appl. Probab. 29(5): 3128-3154 (October 2019). DOI: 10.1214/19-AAP1476

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 $d(x)p_{k}$ the individual at $x$ consults $k\ge 1$ 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.

Citation

Download Citation

Ran Huo. Rick Durrett. "The zealot voter model." Ann. Appl. Probab. 29 (5) 3128 - 3154, October 2019. https://doi.org/10.1214/19-AAP1476

Information

Received: 1 December 2018; Revised: 1 March 2019; Published: October 2019
First available in Project Euclid: 18 October 2019

zbMATH: 07155068
MathSciNet: MR4019884
Digital Object Identifier: 10.1214/19-AAP1476

Subjects:
Primary: 60K35

Rights: Copyright © 2019 Institute of Mathematical Statistics

JOURNAL ARTICLE
27 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.29 • No. 5 • October 2019
Back to Top