Abstract:Based on a coupling approach, we prove uniform in time propagation of chaos for weakly interacting mean-field particle systems with possibly non-convex confinement and interaction potentials. The approach is based on a combination of reflection and synchronous couplings applied to the individual particles. It provides explicit quantitative bounds that significantly extend previous results for the convex case.

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中文翻译：

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统一混沌时间传播的基本方法

摘要：基于耦合方法，我们证明了具有弱势均势场的粒子系统的混沌在时间上的传播是均匀的，可能具有非凸约束和相互作用势。该方法基于应用于单个粒子的反射耦合和同步耦合的组合。它提供了显式的定量界限，可以显着扩展先前的凸情况下的结果。

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