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Latent voter model on locally tree-like random graphs

Publication ,  Journal Article
Huo, R; Durrett, R
Published in: Stochastic Processes and their Applications
May 1, 2018

In the latent voter model, individuals who have just changed their choice have a latent period, which is exponential with rate λ, during which they will not change their opinion. We study this model on random graphs generated by a configuration model with degrees 3≤d(x)≤M. We show that if the number of vertices n→∞ and logn≪λn≪n then there is a quasi-stationary state in which each opinion has probability ≈1∕2 and persists in this state for a time that is ≥nm for any m<∞.

Duke Scholars

Published In

Stochastic Processes and their Applications

DOI

ISSN

0304-4149

Publication Date

May 1, 2018

Volume

128

Issue

5

Start / End Page

1590 / 1614

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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MLA
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Huo, R., & Durrett, R. (2018). Latent voter model on locally tree-like random graphs. Stochastic Processes and Their Applications, 128(5), 1590–1614. https://doi.org/10.1016/j.spa.2017.08.004
Huo, R., and R. Durrett. “Latent voter model on locally tree-like random graphs.” Stochastic Processes and Their Applications 128, no. 5 (May 1, 2018): 1590–1614. https://doi.org/10.1016/j.spa.2017.08.004.
Huo R, Durrett R. Latent voter model on locally tree-like random graphs. Stochastic Processes and their Applications. 2018 May 1;128(5):1590–614.
Huo, R., and R. Durrett. “Latent voter model on locally tree-like random graphs.” Stochastic Processes and Their Applications, vol. 128, no. 5, May 2018, pp. 1590–614. Scopus, doi:10.1016/j.spa.2017.08.004.
Huo R, Durrett R. Latent voter model on locally tree-like random graphs. Stochastic Processes and their Applications. 2018 May 1;128(5):1590–1614.
Journal cover image

Published In

Stochastic Processes and their Applications

DOI

ISSN

0304-4149

Publication Date

May 1, 2018

Volume

128

Issue

5

Start / End Page

1590 / 1614

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0104 Statistics
  • 0102 Applied Mathematics