Sur les inégalités FKG

Dominique Bakry; Dominique Michel

Séminaire de probabilités de Strasbourg (1992)

  • Volume: 26, page 170-188

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Bakry, Dominique, and Michel, Dominique. "Sur les inégalités FKG." Séminaire de probabilités de Strasbourg 26 (1992): 170-188. <http://eudml.org/doc/113795>.

@article{Bakry1992,
author = {Bakry, Dominique, Michel, Dominique},
journal = {Séminaire de probabilités de Strasbourg},
keywords = { inequality; correlation inequalities; Markov semigroup techniques; statistical mechanics; Boltzmann measure},
language = {fre},
pages = {170-188},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Sur les inégalités FKG},
url = {http://eudml.org/doc/113795},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Bakry, Dominique
AU - Michel, Dominique
TI - Sur les inégalités FKG
JO - Séminaire de probabilités de Strasbourg
PY - 1992
PB - Springer - Lecture Notes in Mathematics
VL - 26
SP - 170
EP - 188
LA - fre
KW - inequality; correlation inequalities; Markov semigroup techniques; statistical mechanics; Boltzmann measure
UR - http://eudml.org/doc/113795
ER -

References

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  1. [B] Batty, ( C.J.K.)— An extention of an inequality of R.HOLLEY, Quart. J. Math. Oxford, ser. 2, vol. 27, 1976, p.457-461. Zbl0439.60017MR431433
  2. [BB] Batty, ( C.J.K.), Bollmann, ( H.W.)— Generalized HOLLEY-PRESTON inequalities on measure spaces and their products, Z. Wahrsch. Verw. Gebeite, vol. 53, 1980, p.157-173. Zbl0417.60006MR580910
  3. [EA] Eaton, ( M.L.)— A review on selected topics in multivariate probability inequalities, Ann. Statist., vol. 10, 1982, p.11-43. Zbl0492.62052MR642717
  4. [ED] Edwards, ( D.A.)— On the HOLLEY-PRESTON inequalities, Proc. Edinburgh Math. Soc. A, vol. 78, 1978, p.265-272. Zbl0387.28019MR488198
  5. [El] Ellis, ( R.E.)— Entropy, large deviations and statistical mechanics , Springer, Berlin-Heidelberg-New-York, 1985. Zbl0566.60097MR793553
  6. [EMN] Ellis, ( R.S.), Monroe, ( J.L.), Newman, ( C.M.)— The GHS and other correlation inequalities for a class of even ferromagnets, Comm. Math. Phys., vol. 46, 1976, p.167-182. MR395659
  7. [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
  8. [GHS] Griffiths, ( R.B.), Hurst, ( C.A.), Sherman, ( S.)— Concavity of magnetization of an ISING ferromagnet in a positive external field, J. Math. Phys., vol. 11, 1970, p.790-795. MR266507
  9. [H] Holley, ( R.)— Remarks on the FKG inequalities, Comm. Math. Phys., vol. 36, 1974, p.227-231. MR341552
  10. [K] Kahane, ( J.P.)— Une inégalité du type de SLEPIAN et GORDON sur les processus gaussiens, Isr.J.Math., vol. 55, 1986, p.109-110. Zbl0611.60034MR858463
  11. [KR] Karlin, ( S.), Rinott, ( Y.)— Classes of ordering of measures and related correlation inequalities, J. Multivariate Anal., vol. 10, 1980, p.467-498. Zbl0469.60006MR599685
  12. [L] Lebowitz, ( J.L.— GHS and other inequalities, Comm. Math. Phys., vol. 35, 1974, p.87-92. MR339738
  13. [L] Ligett, ( T.M.)— Interacting particle systems , Springer, Berlin-Heidelberg-New-York, 1985. Zbl0559.60078MR776231
  14. [Pre] Preston, ( C.J.)— A generalization of FKG inequalities, Comm. Math. Phys., vol. 36, 1974, p.233-240. MR341553
  15. [Pru] Prum, ( B.)— Processus sur un réseau et mesures de GIBBS , Masson, Paris, 1986. Zbl0645.60102MR850839
  16. [T] Thomas, ( L.E.)— Stochastic coupling and thermodynamic inequalities, Comm. Math. Phys., vol. 77, 1980, p.211-218. Zbl0447.60062MR594300

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