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Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one


 
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1. Title Title of document Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one
 
2. Creator Author's name, affiliation, country Benjamin Jourdain; Université Paris-Est, CERMICS; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Poincaré inequality; transport inequality; chi-square pseudo-distance; Wasserstein distance
 
3. Subject Subject classification 26D10; 60E15
 
4. Description Abstract In this paper, we prove that, in dimension one, the Poincaré inequality is equivalent to a new transport-chi-square inequality linking the square of the quadratic Wasserstein distance with the chi-square pseudo-distance. We also check tensorization of this transport-chi-square inequality.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-09-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2115
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-2115
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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