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References

  1. S. G. Bobkov, I. Gentil, and M. Ledoux. Hypercontractivity of Hamilton-Jacobi equations. Journal de Mathématiques Pures et Appliquées 80(7) (2001), 669-696. Math. Review MR1846020 (2003b:47073)
  2. F. Bolley, A. Guillin, and C. Villani. Quantitative concentration inequalities for empirical measures on non-compact spaces. To appear in Prob. Th. Rel. Fields. (2005). Math. Review number not available.
  3. F. Bolley and C. Villani. Weighted Csiszar-Kullback-Pinsker inequalities and applications to transportation inequalities. Annales de la Faculté des Sciences de Toulouse 14 (2005), 331-352. Math. Review MR2172583
  4. V. V. Buldygin and Yu.V. Kozachenko. Metric characterization of random variables and random processes. Translations of Mathematical Monographs, 188. American Mathematical Society Math. Review MR1743716 (2001g:60089)
  5. P. Cattiaux and N. Gozlan. Deviations bounds and conditional principles for thin sets. To appear in Stoch. Proc. Appl. (2005). Math. Review number not available.
  6. P. Cattiaux and A. Guillin. Talagrand’s like quadratic transportation cost inequalities. Preprint. (2004). Math. Review number not available.
  7. A. Dembo and O. Zeitouni. Large deviations techniques and applications. Second edition. Applications of Mathematics 38. Springer Verlag (1998).Math. Review MR1619036 (99d:60030)
  8. H. Djellout, A. Guillin and L. Wu. Transportation cost-information inequalities for random dynamical systems and diffusions. Annals of Probability, 32(3B) (2004), 2702–2732. Math. Review MR2078555 (2005i:60031)
  9. I. Gentil, A. Guillin and L. Miclo. Modified logarithmic Sobolev inequalities and transportation inequalities. Probab. Theory Related Fields 133 (3) (2005), 409-436. Math. Review MR2198019
  10. N. Gozlan. Conditional principles for random weighted measures. ESAIM Probab. Stat. 9 (2005), 283-306 (electronic). Math. Review MR2174872
  11. N. Gozlan. Principe conditionnel de Gibbs pour des contraintes fines approchées et inégalités de transport. PhD Thesis, Université Paris 10-Nanterre, (2005). Math. Review number not available.
  12. N. Gozlan and C. Léonard. A large deviation approach to some transportation cost inequalities. Preprint. (2005). Math. Review number not available.
  13. Yu. V. Kozachenko and E. I. Ostrovskii. Banach spaces of random variables of sub-Gaussian type. (Russian) Theor. Probability and Math. Statist. 3 (1986), 45-56. Math. Review MR0882158 (88e:60009)
  14. K. Marton. A simple proof of the blowing-up lemma. IEEE Trans. Inform. Theory. 32(3) (1986), 445-446.Math. Review MR0838213 (87e:94018)
  15. K. Marton. Bounding $\overline{d}$-distance by informational divergence: a method to prove measure concentration. Ann. Probab. 24(2) (1996), 857-866. Math. Review MR1404531 (97f:60064)
  16. F. Otto and C. Villani. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J. Funct. Anal. 173(2) (2000), 361-400. Math. Review MR1760620 (2001k:58076)
  17. Talagrand, M. Transportation cost for Gaussian and other product measures. Geom. Funct. Anal. 6(3) (1996), 587-600. Math. Review MR1392331 (97d:60029)
  18. C. Villani. Topics in optimal transportation. Graduate Studies in Mathematics, 58. American Mathematical Society, Math. Review MR1964483 (2004e:90003)
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