Free Access
Volume 12, April 2008
Page(s) 12 - 29
Published online 13 November 2007
  1. S. Aida, Uniform positivity improving property, Sobolev inequalities and spectral gaps. J. Funct. Anal. 158 (1998) 152–185. [CrossRef] [MathSciNet] [Google Scholar]
  2. D. Bakry, L'hypercontractivité et son utilisation en théorie des semigroupes. In Lectures on Probability theory. École d'été de Probabilités de St-Flour 1992, Lect. Notes Math. 1581 (1994) 1–114. [Google Scholar]
  3. F. Barthe, P. Cattiaux and C. Roberto, Concentration for independent random variables with heavy tails. AMRX 2005 (2005) 39–60. [Google Scholar]
  4. F. Barthe, P. Cattiaux and C. Roberto, Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Rev. Mat. Iber. 22 (2006) 993–1067. [Google Scholar]
  5. F. Barthe, P. Cattiaux and C. Roberto, Isoperimetry between exponential and Gaussian. EJP 12 (2007) 1212–1237. [Google Scholar]
  6. W. Bryc and A. Dembo, Large deviations for quadratic functionals of gaussian processes. J. Theoret. Prob. 10 (1997) 307–332. [Google Scholar]
  7. P. Cattiaux, I. Gentil and G. Guillin, Weak logarithmic-Sobolev inequalities and entropic convergence. Prob. Theory Related Fields 139 (2007) 563–603. [CrossRef] [Google Scholar]
  8. E.B. Davies, Heat kernels and spectral theory. Cambridge University Press (1989). [Google Scholar]
  9. J.D. Deuschel and D.W. Stroock, Large Deviations. Academic Press, London, Pure Appl. Math. 137 (1989). [Google Scholar]
  10. H. Djellout, A. Guillin and L. Wu, Transportation cost information inequalities for random dynamical systems and diffusions. Ann. Prob. 334 (2002) 1025–1028. [Google Scholar]
  11. P. Doukhan, Mixing, Properties and Examples. Springer-Verlag, Lect. Notes Statist. 85 (1994). [Google Scholar]
  12. B. Franchi, Weighted Sobolev-Poincaré inequalities and pointwise estimates for a class of degenerate elliptic equations. T.A.M.S. 327 (1991) 125–158. [CrossRef] [Google Scholar]
  13. F.Z. Gong and F.Y. Wang, Functional inequalities for uniformly integrable semigroups and applications to essential spectrums. Forum Math. 14 (2002) 293–313. [CrossRef] [MathSciNet] [Google Scholar]
  14. C. Léonard, Convex conjugates of integral functionals. Acta Math. Hungar. 93 (2001) 253–280. [CrossRef] [MathSciNet] [Google Scholar]
  15. C. Léonard, Minimizers of energy functionals. Acta Math. Hungar. 93 (2001) 281–325. [CrossRef] [MathSciNet] [Google Scholar]
  16. P. Lezaud, Chernoff and Berry-Eessen inequalities for Markov processes. ESAIM Probab. Statist. 5 (2001) 183–201. [Google Scholar]
  17. G. Lu, Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications. Rev. Mat. Iber. 8 (1992) 367–439. [Google Scholar]
  18. E. Rio, Théorie asymptotique des processus aléatoires faiblement dépendants. Springer-Verlag, Math. Appl. 31 (2000). [Google Scholar]
  19. R.T. Rockafellar, Integrals which are convex functionals. Pacific J. Math. 24 (1968) 525–539. [Google Scholar]
  20. R.T. Rockafellar, Integrals which are convex functionals II. Pacific J. Math. 39 (1971) 439–469. [MathSciNet] [Google Scholar]
  21. M. Röckner and F.Y. Wang, Weak Poincaré inequalities and L2-convergence rates of Markov semigroups. J. Funct. Anal. 185 (2001) 564–603. [CrossRef] [MathSciNet] [Google Scholar]
  22. G. Royer, Une initiation aux inégalités de Sobolev logarithmiques. S.M.F., Paris (1999). [Google Scholar]
  23. F.Y. Wang, Functional inequalities for empty essential spectrum. J. Funct. Anal. 170 (2000) 219–245. [CrossRef] [MathSciNet] [Google Scholar]
  24. L. Wu, A deviation inequality for non-reversible Markov process. Ann. Inst. Henri Poincaré. Prob. Stat. 36 (2000) 435–445. [CrossRef] [EDP Sciences] [Google Scholar]

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