Transport-entropy inequalities on the line

Details Transport-entropy inequalities on the line Transport-entropy inequalities on the line

2012-03-01

arxiv.org/abs/1203.0326v1

Mathematics

Probability

Scientific paper

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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