论文标题
在完整图上的多种颜色相互作用的urns
Multiple colour interacting urns on complete graphs
论文作者
论文摘要
我们提出了Benaim等研究的图形相互作用的图形模型的多种颜色概括。 al。,随机结构。 Alg。,46:614-634,2015。我们表明,对于完整的图表和一系列的强化功能,管理在urn中添加球,每个urn的颜色比例的过程几乎可以肯定地收敛到增强功能的固定点。
We present a multiple colour generalisation of the model of graph interacting urns studied by Benaim et. al., Random Struct. Alg., 46: 614-634, 2015. We show that for complete graphs and for a broad class of reinforcement functions governing the addition of balls in the urns, the process of colour proportions at each urn converges almost surely to the fixed points of the reinforcement function.