Latent voter model on locally tree-like random graphs

Ran Huo and Rick Durrett

Stochastic Processes and their Applications, 2018, vol. 128, issue 5, 1590-1614

Abstract: 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<∞.

Date: 2018
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DOI: 10.1016/j.spa.2017.08.004

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