The Zealot voter model
Publication
, Journal Article
Huo, R; Durrett, R
Published in: Annals of Applied Probability
January 1, 2019
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.
Duke Scholars
Published In
Annals of Applied Probability
DOI
ISSN
1050-5164
Publication Date
January 1, 2019
Volume
29
Issue
5
Start / End Page
3128 / 3154
Related Subject Headings
- Statistics & Probability
- 0104 Statistics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huo, R., & Durrett, R. (2019). The Zealot voter model. Annals of Applied Probability, 29(5), 3128–3154. https://doi.org/10.1214/19-AAP1476
Huo, R., and R. Durrett. “The Zealot voter model.” Annals of Applied Probability 29, no. 5 (January 1, 2019): 3128–54. https://doi.org/10.1214/19-AAP1476.
Huo R, Durrett R. The Zealot voter model. Annals of Applied Probability. 2019 Jan 1;29(5):3128–54.
Huo, R., and R. Durrett. “The Zealot voter model.” Annals of Applied Probability, vol. 29, no. 5, Jan. 2019, pp. 3128–54. Scopus, doi:10.1214/19-AAP1476.
Huo R, Durrett R. The Zealot voter model. Annals of Applied Probability. 2019 Jan 1;29(5):3128–3154.
Published In
Annals of Applied Probability
DOI
ISSN
1050-5164
Publication Date
January 1, 2019
Volume
29
Issue
5
Start / End Page
3128 / 3154
Related Subject Headings
- Statistics & Probability
- 0104 Statistics
- 0102 Applied Mathematics