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Transport-Entropy inequalities on the line


 
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1. Title Title of document Transport-Entropy inequalities on the line
 
2. Creator Author's name, affiliation, country Nathael Gozlan; Université Marne-la-Vallée; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Optimal transport; Transport-entropy inequalities; Poincaré inequality
 
3. Subject Subject classification 60E15; 26D10
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Agence Nationale de la Recherche numbered ANR 2011 BS01 007 01
 
7. Date (YYYY-MM-DD) 2012-06-29
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1864
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1864
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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