Transport-entropy inequalities on the line
classification
🧮 math.PR
math.FA
keywords
inequalitiesinequalitytransport-entropyapplicationconditionconstructdimensiondistribution
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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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