Sur les inégalités GKS

Dominique Bakry; Mireille Echerbault

Séminaire de probabilités de Strasbourg (1996)

  • Volume: 30, page 178-206

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Bakry, Dominique, and Echerbault, Mireille. "Sur les inégalités GKS." Séminaire de probabilités de Strasbourg 30 (1996): 178-206. <http://eudml.org/doc/113927>.

@article{Bakry1996,
author = {Bakry, Dominique, Echerbault, Mireille},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Griffith-Kelly-Sherman-inequality; orthonormal basis; GKS1 inequality; GKS2 inequality},
language = {fre},
pages = {178-206},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Sur les inégalités GKS},
url = {http://eudml.org/doc/113927},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Bakry, Dominique
AU - Echerbault, Mireille
TI - Sur les inégalités GKS
JO - Séminaire de probabilités de Strasbourg
PY - 1996
PB - Springer - Lecture Notes in Mathematics
VL - 30
SP - 178
EP - 206
LA - fre
KW - Griffith-Kelly-Sherman-inequality; orthonormal basis; GKS1 inequality; GKS2 inequality
UR - http://eudml.org/doc/113927
ER -

References

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  1. [BM] Bakry ( D.), Michel ( D.), — Sur les inégalités FKG, Séminaire de Probablités XXVI, Lecture Notes in Math.1526, 1992, Springer, p.178-180. Zbl0766.60118MR1231994
  2. [D] Diaconis ( P.) — Group Representations in Probability and Statistics , Institute of Mathematical Statistics, Hayward, CA, 1988. Zbl0695.60012MR964069
  3. [FKG] Fortuin, ( C.), Kastelyn, ( P.), Ginibre, ( J.)— Correlation inequalities on some partially ordered sets, Comm. Math. Phys., vol. 22, 1971, p.89-103. Zbl0346.06011MR309498
  4. [Gi] Ginibre ( J.), — General formulation of GRIFFITHS' inequality, Comm. Math. Physics, vol. 16, 1970, p.310-328. MR269252
  5. [Gr] Griffiths ( R.B.), — Correlation in ISING ferromagnets I, II, J. Math. Physics, vol. 8, 1967, p.478-489. 
  6. [I] Isaacs ( I.M.)— Character Theory of Finite Groups , Dover Publications, New-York, 1976. Zbl0849.20004
  7. [JL] James ( G.), Liebeck ( M.), — Representations and Characters of Groups , Cambridge Mathematical Textbooks, Cambridge University Press, 1993. Zbl0792.20006MR1237401
  8. [KS] Kelly ( D.G.), Sherman ( S.) — General GRIFFITHS's inequality on correlation in ISING ferromagnets, J. Math. Physics, vol. 9, 1968, p.466-484. 
  9. [L] Laroche ( E.), — Inégalités de corrélations sur {-1,1}n et dans IRn, Ann. I.H.P., vol.29, n° 4, 1993, p.531-567. Zbl0806.60008MR1251140

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