Latent voter model on locally tree-like random graphs

Published

Journal Article

© 2017 Elsevier B.V. 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<∞.

Full Text

Duke Authors

Cited Authors

  • Huo, R; Durrett, R

Published Date

  • May 1, 2018

Published In

Volume / Issue

  • 128 / 5

Start / End Page

  • 1590 - 1614

International Standard Serial Number (ISSN)

  • 0304-4149

Digital Object Identifier (DOI)

  • 10.1016/j.spa.2017.08.004

Citation Source

  • Scopus