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An entropic interpolation proof of the HWI inequality. (arXiv:1807.06893v1 [math.PR])

来源于:arXiv
We present a pathwise proof of the HWI inequality which is based on en-tropic interpolations rather than displacement ones. Unlike the latter, entropic interpolations are regular both in space and time. Consequently, our approach is closer to the Otto-Villani heuristics, presented in the first part of the article [23], than the original rigorous proof presented in the second part of [23]. 查看全文>>