Latent voter model on locally tree-like random graphs
| dc.contributor.author | Huo, R | |
| dc.contributor.author | Durrett, R | |
| dc.date.accessioned | 2018-10-21T02:43:00Z | |
| dc.date.available | 2018-10-21T02:43:00Z | |
| dc.date.issued | 2018-05 | |
| dc.date.updated | 2018-10-21T02:42:59Z | |
| dc.description.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 ≥nmfor any m<∞. | |
| dc.identifier.issn | 0304-4149 | |
| dc.identifier.uri | ||
| dc.publisher | Elsevier BV | |
| dc.relation.ispartof | Stochastic Processes and their Applications | |
| dc.relation.isversionof | 10.1016/j.spa.2017.08.004 | |
| dc.title | Latent voter model on locally tree-like random graphs | |
| dc.type | Journal article | |
| pubs.begin-page | 1590 | |
| pubs.end-page | 1614 | |
| pubs.issue | 5 | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Student | |
| pubs.publication-status | Published | |
| pubs.volume | 128 |