An entropic interpolation proof of the HWI inequality
Probability
2018-07-19 v1 Classical Analysis and ODEs
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].
Keywords
Cite
@article{arxiv.1807.06893,
title = {An entropic interpolation proof of the HWI inequality},
author = {Ivan Gentil and Christian Léonard and Luigia Ripani and Luca Tamanini},
journal= {arXiv preprint arXiv:1807.06893},
year = {2018}
}