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Article Dans Une Revue Electronic Journal of Probability Année : 2012

Transport-entropy inequalities on the line

Résumé

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 distri- bution verifying Talagrand's T2 inequality and not the logarithmic Sobolev inequality.

Dates et versions

hal-00795830 , version 1 (01-03-2013)

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Citer

Nathael Gozlan. Transport-entropy inequalities on the line. Electronic Journal of Probability, 2012, 17 (49), pp.1-18. ⟨10.1214/EJP.v17-1864⟩. ⟨hal-00795830⟩
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