Sharp propagation of chaos in Rényi divergence
Abstract
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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Stochastic processes and statistical mechanics
Stochastic processes and financial applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint