Latent voter model on locally tree-like random graphs

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2018-05

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© 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 ≥nmfor any m<∞.

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10.1016/j.spa.2017.08.004

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Huo, R, and R Durrett (2018). Latent voter model on locally tree-like random graphs. Stochastic Processes and their Applications, 128(5). pp. 1590–1614. 10.1016/j.spa.2017.08.004 Retrieved from https://hdl.handle.net/10161/17595.

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Durrett

Richard Timothy Durrett

James B. Duke Distinguished Professor Emeritus of Mathematics

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