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Diffusions hypercontractives

  • D. Bakry
  • M. Émery
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1123)

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Références

  1. [1]
    M. Berger, P. Gauduchon et E. Mazet. Le spectre d'une variété riemannienne. Lecture Notes in Math. 194, Springer.Google Scholar
  2. [2]
    L. Gross. Logarithmic Sobolev Inequalities. Amer J. Math. 97, 1975.Google Scholar
  3. [3]
    P. A. Meyer. Note sur les processus d'Ornstein — Uhlenbeck. Sém. Prob. XVI, Lecture Notes in Math. 920, Springer.Google Scholar
  4. [4]
    P. A. Meyer. Géométrie différentielle stochastique (bis). Sém. Prob. XVI B, Lecture Notes in Math. 921, Springer.Google Scholar
  5. [5]
    P. A. Meyer et W. A. Zheng. Tightness criteria for laws of semimartingales. Ann. I.H.P. (à paraître).Google Scholar
  6. [6]
    C. Mueller et F. Weissler. Hypercontractivity for the Heat Semigroup for Ultraspheric Polynomials and on the n-Sphere. J. Func. Anal. 48, 1982.Google Scholar
  7. [7]
    E. Nelson. The free Markov Field. J. Funct. Anal. 12, 1973.Google Scholar
  8. [8]
    J. Neveu. Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. I.H.P. 2, 1976.Google Scholar
  9. [9]
    O. Rothaus. Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators. J. Func. Anal. 39, 1980.Google Scholar
  10. [10]
    O. Rothaus. Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities. J. Func. Anal 42, 1981.Google Scholar
  11. [11]
    J. Ruiz de Chavez. Thèse de troisième cycle. Strasbourg (à paraître).Google Scholar
  12. [12]
    D. Surgailis. On Poisson multiple stochastic integrals and associated equilibrium Markov processes. Proc. IFIP — ISI international conf. on random fields, Bangalore 1982. Lect. Notes in Inf. Control 49, Springer.Google Scholar
  13. [13]
    F. Weissler. Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. J. Func. Anal. 37, 1980.Google Scholar

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© Springer-Verlag 1985

Authors and Affiliations

  • D. Bakry
  • M. Émery

There are no affiliations available

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