On the Lipschitz properties of transportation along heat flows

Fuente: arXiv
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Main Authors: Mikulincer, Dan, Shenfeld, Yair
Format: Preprint
Published: 2022
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author Mikulincer, Dan
Shenfeld, Yair
author_facet Mikulincer, Dan
Shenfeld, Yair
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.
format Preprint
id arxiv_https___arxiv_org_abs_2201_01382
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On the Lipschitz properties of transportation along heat flows
Mikulincer, Dan
Shenfeld, Yair
Probability
Analysis of PDEs
Functional Analysis
39B62 (Primary) 49Q22, 49R05, 35P15 (Secondary)
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.
title On the Lipschitz properties of transportation along heat flows
topic Probability
Analysis of PDEs
Functional Analysis
39B62 (Primary) 49Q22, 49R05, 35P15 (Secondary)
url https://arxiv.org/abs/2201.01382