论文标题
图表中均匀平均场限制的均匀注释
A note on uniform in time mean-field limit in graphs
论文作者
论文摘要
在本文中，我们以简洁的方式展示了混乱时间均匀统一的结果，该混乱是根据随机图相互作用的不可交换系统的。前提是相互作用是Lipschitz的连续，恢复力可以满足一般的单面Lipschitz条件（因此允许非串联限制电位），并且该图足够致密，我们使用Eberle所建议的耦合方法，被称为反射偶联以在时间平均限制中获得图形结构的界限均匀限制。
In this article we show, in a concise manner, a result of uniform in time propagation of chaos for non exchangeable systems of particles interacting according to a random graph. Provided the interaction is Lipschitz continuous, the restoring force satisfies a general one-sided Lipschitz condition (thus allowing for non-convex confining potential) and the graph is dense enough, we use a coupling method suggested by Eberle known as reflection coupling to obtain uniform in time mean-field limit with bounds that depend explicitly on the graph structure.
