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Some remarks on transportation cost and related inequalities

Mark W. Meckes
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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.

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Mark W. Meckes. 2005-08-09. Some remarks on transportation cost and related inequalities. https://doi.org/10.1007/978-3-540-72053-9_12

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