On the Lipschitz properties of transportation along heat flows
type: Item
instance of: scholarly article
title: On the Lipschitz properties of transportation along heat flows
zbMATH Open document ID: 1546.60041
DOI: 10.1007/978-3-031-26300-2_9
author: Dan Mikulincer
author: Yair Shenfeld
publication date: 2024-09-20T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 49Q22
zbMATH DE Number: 7916423
zbMATH Keywords: Gaussian mixtures
zbMATH Keywords: Lipschitz properties
MaRDI profile type: Publication
cites work: On the quadratic random matching problem in two-dimensional domains
cites work: Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence
cites work: Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities
cites work: Spectral gap for spherically symmetric \(\log\)-concave probability measures, and beyond
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Monotonicity properties of optimal transportation and the FKG and related inequalities
cites work: Dimension-free log-Sobolev inequalities for mixture distributions
cites work: Lipschitz changes of variables between perturbations of log-concave measures
cites work: Some applications of mass transport to Gaussian-type inequalities
cites work: Log-Sobolev inequalities and sampling from log-concave distributions
cites work: Q3871201
cites work: Existence of Conditional Probabilities.
cites work: Isoperimetric problems for convex bodies and a localization lemma
cites work: A generalization of Caffarelli's contraction theorem via (reverse) heat flow
cites work: Inequalities: theory of majorization and its applications
cites work: Transport-majorization to analytic and geometric inequalities
cites work: Spectral estimates, contractions and hypercontractivity
cites work: Q4337944
cites work: Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
cites work: An optimal Poincaré inequality for convex domains
cites work: Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
cites work: Log-concavity and strong log-concavity: a review
cites work: Comparison of transport map generated by heat flow interpolation and the optimal transport Brenier map
cites work: Q4805362
cites work: Functional inequalities for convolution probability measures
description: scientific article; zbMATH DE number 7916423