Integral criteria for transportation-cost inequalities

Electronic Communications in Probability

Volumn 11, Issue , 2006, Pages 64-77

  Gozlan, Nathael ^a  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

Transportation cost inequalities and Orlicz Spaces

Indexed keywords

EID: 33745038936     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v11-1198     Document Type: Article

References (18)

1. S. G. Bobkov, I. Gentil, and M. Ledoux. Hypercontractivity of Hamilton-Jacobi equations. Journal de Mathématiques Pures et Appliquées, 80(7):669-696, 2001.
2. F. Bolley, A. Guillin, and C. Villani. Quantitative concentration inequalities for empirical measures on non-compact spaces. preprint., 2005.
3. F. Bolley and C. Villani. Weighted Csiszâr-Kullback-Pinsker inequalities and applications to transportation inequalities. Annales de la Faculté des Sciences de Toulouse., 14:331-352, 2005.
4. V. V. Buldygin and Yu.V. Kozachenko. Metric characterization of random variables and random processes. American Mathematical Society, 2000.
5. P. Cattiaux and N. Gozlan. Deviations bounds and conditional principles for thin sets. preprint., 2005.
6. P. Cattiaux and A. Guillin. Talagrand’s like quadratic transportation cost inequalities. preprint., 2004.
7. A. Dembo and O. Zeitouni. Large deviations techniques and applications. Second edition. Applications of Mathematics 38. Springer Verlag, 1998.
8. H. Djellout, A. Guillin, and L. Wu. Transportation cost-information inequalities for random dynamical systems and diffusions. Annals of Probability, 32(3B):2702-2732, 2004.
9. I. Gentil, A. Guillin, and L. Miclo. Modified logarithmic sobolev inequalities and transportation inequalities. preprint., 2005.
10. N. Gozlan. Conditional principles for random weighted measures. ESAIM P&S, 9:283-306, 2005.
11. N. Gozlan. Principe conditionnel de Gibbs pour des contraintes fines approchees et inegalites de transport. PhD Thesis, Universite de Paris 10., 2005.
12. N. Gozlan and C. Lâeonard. A large deviation approach to some transportation cost inequalities. preprint., 2005.
13. Yu.V. Kozachenko and E.I. Ostrovskii. Banach spaces of random variables of sub-gaussian type. Theor. Probability and Math. Statist., 3.:45-56, 1986.
14. K. Marton. A simple proof of the blowing-up lemma. IEEE Transactions on Information Theory, 32:445-446, 1986.
15. K. Marton. Bounding d-distance by informational divergence: a way to prove measure concentration. Annals of Probability, 24:857-866, 1996.
16. F. Otto and C. Villani. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Journal of Functional Analysis, 173:361-400, 2000.
17. M. Talagrand. Transportation cost for gaussian and other product measures. Geometric and Functional Analysis, 6:587-600, 1996.
18. C. Villani. Topics in Optimal Transportation. Graduate Studies in Mathematics 58. American Mathematical Society, Providence RI, 2003