Quasi-Stationary Distributions for the Voter Model on Complete Bipartite Graphs

We consider the discrete-time voter model on complete bipartite graphs and study quasi-stationary distribution (QSD) for as size of one partitions tends to infinity while other partition remains fixed. show that QSDs converge weakly a nontrivial limit which features consensus with exception random number dissenting vertices in large partition. Moreover, we explicitly calculate law dissenters it follows heavy-tailed Sibuya parameter depending small Our results rely analogue well-known duality between continuous-time coalescing walks develop paper.