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References

  • Cécile Ané, Sébastien Blachère, Djalil Chafaï, Pierre Fougères, Ivan Gentil, Florent Malrieu, Cyril Roberto, and Grégory Scheffer, Sur les inégalités de Sobolev logarithmiques, Panoramas et Synthèses [Panoramas and Syntheses], vol. 10, Société Mathématique de France, Paris, 2000, With a preface by Dominique Bakry and Michel Ledoux. MR1845806
  • Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel. Hypercontractivity of Hamilton-Jacobi equations. J. Math. Pures Appl. (9) 80 (2001), no. 7, 669--696. MR1846020
  • Cattiaux, Patrick; Guillin, Arnaud. On quadratic transportation cost inequalities. J. Math. Pures Appl. (9) 86 (2006), no. 4, 341--361. MR2257848
  • Joaquin Fontbona and Benjamin Jourdain, A trajectorial interpretation of the dissipations of entropy and Fisher information for stochastic differential equations, preprint HAL-00608977
  • Nathael Gozlan, Transport entropy inequalities on the line, Electron. J. Probab. 17 (2012), no. 49, 1--18. DOI
  • Gozlan, N.; Léonard, C. Transport inequalities. A survey. Markov Process. Related Fields 16 (2010), no. 4, 635--736. MR2895086
  • Jourdain, Benjamin; Malrieu, Florent. Propagation of chaos and Poincaré inequalities for a system of particles interacting through their CDF. Ann. Appl. Probab. 18 (2008), no. 5, 1706--1736. MR2462546
  • Miclo, Laurent. Quand est-ce que des bornes de Hardy permettent de calculer une constante de Poincaré exacte sur la droite? (French) [When can Hardy bounds be used to calculate an exact Poincare constant on the line?] Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 1, 121--192. MR2464097
  • Otto, F.; Villani, C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J. Funct. Anal. 173 (2000), no. 2, 361--400. MR1760620
  • Rachev, Svetlozar T.; Rüschendorf, Ludger. Mass transportation problems. Vol. I. Theory. Probability and its Applications (New York). Springer-Verlag, New York, 1998. xxvi+508 pp. ISBN: 0-387-98350-3 MR1619170
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