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Bibliographic Details
Main Authors: Mikulincer, Dan, Shenfeld, Yair
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2201.01382
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Table of Contents:
  • We prove new Lipschitz properties for transport maps along heat flows, constructed by Kim and Milman. For (semi)-log-concave measures and Gaussian mixtures, our bounds have several applications: eigenvalues comparisons, dimensional functional inequalities, and domination of distribution functions.