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Transport-Entropy inequalities on the line

  
@article{EJP1864,
	author = {Nathael Gozlan},
	title = {Transport-Entropy inequalities on the line},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {Optimal transport; Transport-entropy inequalities; Poincaré inequality},
	abstract = {

We give a necessary and sucient 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.

}, pages = {no. 49, 1-18}, issn = {1083-6489}, doi = {10.1214/EJP.v17-1864}, url = {http://ejp.ejpecp.org/article/view/1864}}