论文标题
Graphon粒子系统的度量浓度
Concentration of measure for Graphon particle system
论文作者
论文摘要
我们研究了具有基础图形及其有限粒子近似值的平均场类型相互作用的异质相互作用的扩散粒子系统。在适当的条件下，我们在有限粒子系统的经验度量和Graphon系统的平均定律之间，在有限的时间范围内获得了指数浓度的估计，从而扩展了Bayraktar-Wu的工作。
We study heterogeneously interacting diffusive particle systems with mean-field type interaction characterized by an underlying graphon and their finite particle approximations. Under suitable conditions, we obtain exponential concentration estimates over a finite time horizon for both 1 and 2 Wasserstein distances between the empirical measures of the finite particle systems and the averaged law of the graphon system, extending the work of Bayraktar-Wu.
