Diffusions hypercontractives

Dominique Bakry; Michel Émery

Séminaire de probabilités de Strasbourg (1985)

  • Volume: 19, page 177-206

How to cite

top

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

top
  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

top
  1. Michel Émery, Joseph E. Yukich, A simple proof of the logarithmic Sobolev inequality on the circle
  2. Fuquan Fang, Xiang-Dong Li, Zhenlei Zhang, Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
  3. Jérôme Bertrand, Transport de mesures sur un espace d’Alexandrov
  4. Nicolas Juillet, Transport de mesure et courbures de Ricci synthétiques dans le groupe de Heisenberg
  5. E. A. Carlen, S. Kusuoka, D. W. Stroock, Upper Bounds for symmetric Markov transition functions
  6. M. Ledoux, L'algèbre de Lie des gradients itérés d'un générateur markovien---développements de moyennes et entropies
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.