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arXiv · 1203.0326

Transport-entropy inequalities on the line

Nathael Gozlan
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Abstract

We give a necessary and sufficient condition for transport-entropy inequalities in dimension one. As an application, we construct a new example of a probability distribution verifying Talagrand's T2 inequality and not the logarithmic Sobolev inequality.

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Nathael Gozlan. 2012-03-01. Transport-entropy inequalities on the line. https://arxiv.org/abs/1203.0326

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