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arXiv · 1807.06893

An entropic interpolation proof of the HWI inequality

Ivan Gentil·Christian Léonard·Luigia Ripani·Luca Tamanini
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Abstract

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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Ivan Gentil, Christian Léonard, Luigia Ripani, Luca Tamanini. 2018-07-18. An entropic interpolation proof of the HWI inequality. https://arxiv.org/abs/1807.06893

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