Diffusions hypercontractives

Dominique Bakry; Michel Émery

Séminaire de probabilités de Strasbourg (1985)

  • Volume: 19, page 177-206

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Bakry, Dominique, and Émery, Michel. "Diffusions hypercontractives." Séminaire de probabilités de Strasbourg 19 (1985): 177-206. <http://eudml.org/doc/113511>.

@article{Bakry1985,
author = {Bakry, Dominique, Émery, Michel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {hypercontractivity; Sobolev's logarithmic inequalities},
language = {fre},
pages = {177-206},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Diffusions hypercontractives},
url = {http://eudml.org/doc/113511},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Bakry, Dominique
AU - Émery, Michel
TI - Diffusions hypercontractives
JO - Séminaire de probabilités de Strasbourg
PY - 1985
PB - Springer - Lecture Notes in Mathematics
VL - 19
SP - 177
EP - 206
LA - fre
KW - hypercontractivity; Sobolev's logarithmic inequalities
UR - http://eudml.org/doc/113511
ER -

References

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  1. [1] M. Berger, P. Gauduchon et E. Mazet. Le spectre d'une variété riemannienne. Lecture Notes in Math.194, Springer. Zbl0223.53034MR282313
  2. [2] L. Gross. Logarithmic Sobolev Inequalities. Amer J. Math.97, 1975. Zbl0318.46049MR420249
  3. [3] P.A. Meyer. Note sur les processus d'Ornstein-Uhlenbeck. Sém. Prob. XVI, Lecture Notes in Math. 920, Springer. Zbl0481.60041MR658673
  4. [4] P.A. Meyer. Géométrie différentielle stochastique (bis). Sém. Prob. XVI B, Lecture Notes in Math.921, Springer. Zbl0539.58039MR658725
  5. [5] P.A. Meyer et W.A. Zheng. Tightness criteria for laws of semimartingales. Ann. I.H.P. (à paraître). Zbl0551.60046MR771895
  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. Zbl0506.46022MR674060
  7. [7] E. Nelson. The free Markov Field. J. Funct. Anal.12, 1973. Zbl0273.60079MR343816
  8. [8] J. Neveu. Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. I.H.P.2, 1976. Zbl0356.60028MR431400
  9. [9] O. Rothaus. Logarithmic Sobolev inequalities and the spectrum of Sturm - Liouville operators. J. Func. Anal.39, 1980. Zbl0472.47024MR593787
  10. [10] O. Rothaus. Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities. J. Func. Anal42, 1981. Zbl0471.58027MR620581
  11. [11] J. Ruiz de Chavez. Thèse de troisième cycle. Strasbourg (à paraître). 
  12. [12] D. Surgailis. On Poisson multiple stochastic integrals and associated equilibrium Markov processes. Proc. IFIP - ISI international conf. on random fields, Bangalore1982. Lect. Notes in Inf. Control49, Springer. Zbl0511.60047MR799947
  13. [13] F. Weissler. Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. J. Func. Anal.37, 1980. Zbl0463.46024MR578933

Citations in EuDML Documents

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  1. Michel Émery, Joseph E. Yukich, A simple proof of the logarithmic Sobolev inequality on the circle
  2. E. A. Carlen, S. Kusuoka, D. W. Stroock, Upper Bounds for symmetric Markov transition functions
  3. M. Ledoux, L'algèbre de Lie des gradients itérés d'un générateur markovien---développements de moyennes et entropies
  4. Fuquan Fang, Xiang-Dong Li, Zhenlei Zhang, Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
  5. Jérôme Bertrand, Transport de mesures sur un espace d’Alexandrov
  6. Nicolas Juillet, Transport de mesure et courbures de Ricci synthétiques dans le groupe de Heisenberg
  7. Abdellatif Bentaleb, Sur l'hypercontractivité des semi-groupes ultrasphériques
  8. Éric Fontenas, Sur les minorations des constantes de Sobolev et de Sobolev logarithmiques pour les opérateurs de Jacobi et de Laguerre
  9. Zhongmin Qian, Sheng-Wu He, On the hypercontractivity of Ornstein-Uhlenbeck semigroups with drift
  10. Mireille Echerbault, Sur le modèle d'Heisenberg

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