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Sharp propagation of chaos in Rényi divergence
Matthew S. Zhang · 2026-01-15 · via math.PR updates on arXiv.org

We establish sharp rates for propagation of chaos in Rényi divergences for interacting diffusion systems at stationarity. Building upon the entropic hierarchy established in Lacker (2023), we show that under strong isoperimetry and weak interaction conditions, one can achieve $\mathsf R_q(μ^1 \,\lVert\, π) = \widetilde O(\frac{d q^2}{N^2})$ bounds on the $q$-Rényi divergence.

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