Some remarks on transportation cost and related inequalities

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

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Metric Geometry, Functional Analysis, Probability, 52A20; 60E15

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http://salesiana.dossiersoluciones.com/handle/123456789/154356

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405376
 http://arxiv.org/abs/math/0405376
 Geometric Aspects of Functional Analysis, 237-244, Lecture Notes in Math. 1910, Springer, Berlin, 2007.
 doi:10.1007/978-3-540-72053-9_12

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arXiv