Some remarks on transportation cost and related inequalities
Metric Geometry
2008-02-08 v3 Functional Analysis
Probability
Abstract
We discuss transportation cost inequalities for uniform measures on convex bodies, and connections with other geometric and functional inequalities. In particular, we show how transportation inequalities can be applied to the slicing problem, and give a new log-Sobolev-type inequality for bounded domains in R^n.
Keywords
Cite
@article{arxiv.math/0405376,
title = {Some remarks on transportation cost and related inequalities},
author = {Mark W. Meckes},
journal= {arXiv preprint arXiv:math/0405376},
year = {2008}
}
Comments
AMSLaTeX; v3: version to appear in GAFA Israel Seminar notes