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Sur le modèle d’Heisenberg

  • Mireille Echerbault
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1626)

Keywords

Logarithmic Sobolev Inequality Connexion Versus Nous Allons Dimentional Diffusion Premiere Partie 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Références

  1. [B1]: Bakry, D. (1992), “Hypercontractivité”, Cours de l’Ecole d’Eté de Probabilités, St-Flour, L.N.M. 1581, 1–112.MathSciNetGoogle Scholar
  2. [B2]: Bakry, D. (1992), En préparation.Google Scholar
  3. [BE]: Bakry, D., Emery, M., “Diffusions hypercontractives”, Séminaire de Probabilités XIX, L.N.M. 1123, 179–206.Google Scholar
  4. [CS]: Carlen, E.A., Stroock, D.W., (1985), “An application of the Bakry-Emerycriterion to infinite dimentional diffusions”, Séminaire de Probabilités XX, Azema J. and Yor M. (eds.) L.N.M. 1204, 341–348.Google Scholar
  5. [FKG]: Fortuin, C., Kastelyn, P., Ginibre, J., “Correlation inequalities on some partialy ordered sets”, CMP 22, 99–103.Google Scholar
  6. [G]: Gibbs, J.W., (1960), “Elementary Principles of Statistical Mechanics”, Dover, New York. (Republication of 1902 work published by Yale univ. Press.).zbMATHGoogle Scholar
  7. [HS]: Holley, R., Stroock, D.W. (1987), “Logarithmic Sobolev inequalities and stochastic Ising Models”, J. Stat. Phys. 46, 1159–1194.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [L]: Laroche, E., (1995), “Hypercontractivité pour des systèmes de spins de portée infinie”, P.T.R.F. 101, 89–132.MathSciNetGoogle Scholar
  9. [SZ]: Stroock, D.W., Zegarlinski, B., (1992), “The Equivalence of the Logarithmic Sobolev inequality and the Dobrushin-Shlosman Mixing Condition”. Commun. Math. Phys. 144, 303–323.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Mireille Echerbault
    • 1
  1. 1.Laboratoire de Statistique et ProbabilitésUniversité Paul SabatierToulouse cedex

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