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}}