Free Access
Issue
ESAIM: PS
Volume 12, April 2008
Page(s) 492 - 504
DOI https://doi.org/10.1051/ps:2007042
Published online 01 November 2008
  1. C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto and G. Scheffer, Sur les inégalités de Sobolev logarithmiques. Collection “Panoramas et Synthèses”, SMF(2000) No. 10.
  2. D. Bakry, M. Émery, Hypercontractivité de semi-groupes de diffusion. CRAS Ser. I 299 (1984) 775–778.
  3. D. Bakry, L'hypercontractivité et son utilisation en théorie des semigroupes. Lect. Notes Math. 1581 (1994) 1–114. [CrossRef]
  4. D. Bakry, On Sobolev and logarithmic Sobolev inequalities for Markov semigroups, in New trends in stochastic analysis (Charingworth, 1994), River Edge, Taniguchi symposium, World Sci. Publishing, NJ (1997) 43–75.
  5. G.I. Barenblatt, Scaling, self-similarity, and intermediate asymptotics. Cambridge Texts in Applied Mathematics 14 Cambridge University Press (1996).
  6. J. Bricmont, A. Kupiainen and G. Lin, Renormalization group and asymptotics of solutions of nonlinear parabolic equations. Comm. Pure Appl. Math. 47 (1994) 893–922. [CrossRef] [MathSciNet]
  7. D. Chafaï, Entropies, Convexity en Functional Inequalities. Journal of Mathematics of Kyoto University 44 (2004) 325–363. [MathSciNet]
  8. J.F. Collet, Extensive Lyapounov functionals for moment-preserving evolution equations. C.R.A.S. Ser. I 334 (2002) 429–434.
  9. P. Del Moral, M. Ledoux and L. Miclo, On contraction properties of Markov kernels. Probab. Theory Related Fields 126 (2003) 395–420. [CrossRef] [MathSciNet]
  10. W.J. Ewens, Mathematical population genetics. I, Interdisciplinary Applied Mathematics, Vol 27. Springer-Verlag (2004).
  11. R. Kubo, H-Theorems for Markoffian Processes, in Perspectives in Statistical Physics, H.J. Raveché Ed., North Holland Publishing (1981).
  12. S. Kullback and R.A. Leibler, On Information and Sufficiency. Ann. Math. Stat. 22 (1951) 79–86. [CrossRef] [MathSciNet]
  13. F. Otto and C. Villani, Generalization of an inequality by Talagrand, and links with the Sobolev Logarihmic Inequality. J. Func. Anal. 173 (2000) 361–400. [CrossRef] [MathSciNet]
  14. M.S. Pinsker, Information and Information Stability of Random Variables and Processes. Holden-Day Inc. (1964).
  15. G. Toscani, Remarks on entropy and equilibrium states. Appl. Math. Lett. 12 (1999) 19–25. [CrossRef] [MathSciNet]
  16. G. Toscani and C. Villani, On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds. J. Stat. Phys. 98 (2000) 1279–1309. [CrossRef]

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