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arXiv · 2204.10287

Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph

Iddo Ben-Ari·Clayton Allard·Shrikant Chand·Van Hovenga·Edith Lee·Julia Shapiro
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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.

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Iddo Ben-Ari, Clayton Allard, Shrikant Chand, Van Hovenga, Edith Lee, Julia Shapiro. 2022-04-21. Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph. https://arxiv.org/abs/2204.10287

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