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}}