arXiv:math/0608241 Abstract

arXiv:math/0608241 [math.PR]Abstract References Reviews Resources

Characterization of Talagrand's Like Transportation-Cost Inequalities on the Real Line

Published 2006-08-10Version 1

In this paper, we give necessary and sufficient conditions for Talagrand's like transportation cost inequalities on the real line. This brings a new wide class of examples of probability measures enjoying a dimension-free concentration of measure property. Another byproduct is the characterization of modified Log-Sobolev inequalities for Log-concave probability measures on R.

Categories: math.PR

Subjects: 60E15, 26D10

Keywords: real line, transportation-cost inequalities, characterization, talagrands, log-concave probability measures

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