论文标题

在完整的两部分图上的入侵模型的排序分布

Quasistationary Distribution for the Invasion Model on a Complete Bipartite Graph

论文作者

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

论文摘要

物理学家引入和研究了完整的Bibartitle图上的入侵模型,作为复杂网络上意见动力学的基本模型。我们确定模型的排序分布的极限,因为一个分区大小趋向于无穷大。极限是一个高度分散的措施。该模型的一个独特特征是具有非平凡相互作用的两个时间尺度。工作和结果补充,与密切相关的选民模型的类似结果形成鲜明对比。

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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