Estimations sur les corrélations et principes du maximum

J. Sjöstrand

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-6

How to cite


Sjöstrand, J.. "Estimations sur les corrélations et principes du maximum." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-6. <>.

author = {Sjöstrand, J.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-6},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Estimations sur les corrélations et principes du maximum},
url = {},
year = {1993-1994},

AU - Sjöstrand, J.
TI - Estimations sur les corrélations et principes du maximum
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 6
LA - fre
UR -
ER -


  1. [BL] H.J. Brascamp, E.H. Lieb, On extensions of the Brunn-Minkovski and Prékopa Leindler theorems,..., J. Funct. An.22(1976), 366-389. Zbl0334.26009MR450480
  2. [BrFLeSp] J. Bricmont, J.R. Fontaine, J.L. Lebowitz, T. Spencer, Lattice systems with continuous symmetry II. Decay of correlations, Comm. Math. Phys.78(1981), 363-373. MR603499
  3. [BrFLeLSp] J. Bricmont, J.R. Fontaine, J.L. Lebowitz, E.H. Lieb, T. Spencer, Lattice systems with continuous symmetry III. Low temperature asymptotic expansion for the plane rotator model, Comm. Math. Phys.78(1981), 545-566. MR606463
  4. [C] P. Cartier, Inégalités de correlation en mécanique statistique, Sém. Bourbaki, 25ème année, 1972-73, no 431, Springer LNM no 383. MR418714
  5. [E] R.S. Ellis, Entropy, large deviations and statistical mechanics, Grundlehren der Math. Wiss.271Springer (1985). Zbl0566.60097MR793553
  6. [GIJ] J. Glimm, A. Jaffee, Quantum physics, a functional integral point of view, second edition, Springer (1987). Zbl0461.46051MR887102
  7. [GRSim] F. Guerra, L. Rosen, B. Simon, The p(Φ)2 Euclidean quantum field theory as classical statistical mechanics, Ann. Math.101(1975), 111-259. 
  8. [H1] B. Helffer, Estimations sur les fonctions de corrélation pour des modèles du type de Kac, Sém. e.d.p. Ecole Polytechnique (1992-93). Zbl0877.35107MR1240553
  9. [H2] B. Helffer, Correlation decay and gap of the transfer operator, Prépublication (1993). [H3] B. Helffer, Spectral properties of the Kac operator in large dimension, Proceedings of the Summer School in Vancouver, August 1993. 
  10. [HS] B. Helffer, J. Sjöstrand, On the correlation for Kac like models in the convex case, J. Stat. Mech., à parâitre. Zbl0946.35508
  11. [MZ] R.A. Minlos, E.A. Zhizhina, Asymptotics of correlation decrease for Gibbsian spin fields, Teor. Math. Phys.77(1)(1988). MR972477
  12. [SiWYY] I.M. Singer, B. Wong, S.T. Yau, S.S.T. Yau, An estimate of the gap of the first two eigenvalues of the Schrödinger operator, Ann. Sc. Norm. Sup. Pisa (ser. 4), 12(1985), 319-333. Zbl0603.35070MR829055
  13. [S1] J. Sjöstrand, Exponential convergence of the first eigenvalue divided by the dimension for certain sequences of Schrödinger operators, Astérisque210 (1992), 303-326. Zbl0796.35123MR1221365
  14. [S2] J. Sjöstrand, Ferromagnetic integrals, correlations and maximum principles, Prépublication d'Orsay (1993) 
  15. [S3] J. Sjöstrand, Evolution equations in a large number of variables, Math. Nachr. à parâitre. Zbl0837.35061MR1273320
  16. [So] A.D. Sokal, Mean field bounds and correlation inequalities, J. Stat. Phys.28(1982), 431-439. MR668133

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