The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.
Han, Entropic propagation of chaos for mean field diffusion with Lp interactions via hierarchy, linear growth and fractional noise , arXiv preprint arXiv:2205.02772 (2022)
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Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation
The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.