Math @ Duke
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Publications [#338635] of Ran Huo
Papers Published
- Huo, R; Durrett, R, Latent voter model on locally tree-like random graphs,
Stochastic Processes and Their Applications, vol. 128 no. 5
(May, 2018),
pp. 1590-1614, Elsevier BV [doi]
(last updated on 2019/06/26)
Abstract: © 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<∞.
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