Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph
Probability
2022-05-10 v2
Abstract
The Invasion Model on the complete bibartitle graph was introduced and studied by physicists as a rudimentary model for opinion dynamics on complex networks. We identify the limit of the Quasistationary distribution for the model as one partition size tends to infinity. The limit is a highly dispersed measure. A distinctive feature of the model is that of two time scales with non-trivial interaction. The work and the results complement and are in sharp contrast to the analogous results on the closely related Voter Model.
Keywords
Cite
@article{arxiv.2204.10287,
title = {Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph},
author = {Iddo Ben-Ari and Clayton Allard and Shrikant Chand and Van Hovenga and Edith Lee and Julia Shapiro},
journal= {arXiv preprint arXiv:2204.10287},
year = {2022}
}
Comments
27 pages, 5 figures