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An entropic interpolation proof of the HWI inequality
Ivan Gentil</name> <arxiv:affiliation>ICJ</arxiv:affiliati · 2018-07-18 · via math.PR updates on arXiv.org

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].

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