Some remarks on transportation cost and related inequalities

Details Some remarks on transportation cost and related inequalities Some remarks on transportation cost and related inequalities

2004-05-19

arxiv.org/abs/math/0405376v3

Geometric Aspects of Functional Analysis, 237-244, Lecture Notes in Math. 1910, Springer, Berlin, 2007.

Mathematics

Metric Geometry

AMSLaTeX; v3: version to appear in GAFA Israel Seminar notes

Scientific paper

10.1007/978-3-540-72053-9_12

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.

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