Transport - Entropy inequalities on the line ∗

  • Nathael Gozlan
  • Published 2012


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. 


Cite this paper

@inproceedings{Gozlan2012TransportE, title={Transport - Entropy inequalities on the line ∗}, author={Nathael Gozlan}, year={2012} }