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Sur les inégalités FKG

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Séminaire de Probabilités XXVI

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1526))

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Références

  1. Batty, (C.J.K.)-An extention of an inequality of R.Holley, Quart. J. Math. Oxford, ser. 2, vol. 27, 1976, p.457–461.

    Article  MathSciNet  MATH  Google Scholar 

  2. 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.

    Article  MathSciNet  MATH  Google Scholar 

  3. Eaton, (M.L.)-A review on selected topics in multivariate probability inequalities, Ann. Statist., vol. 10, 1982, p.11–43.

    Article  MathSciNet  MATH  Google Scholar 

  4. Edwards, (D.A.)-On the Holley-Preston inequalities, Proc. Edinburgh Math. Soc. A, vol. 78, 1978, p.265–272.

    Article  MathSciNet  MATH  Google Scholar 

  5. Ellis, (R.E.)-Entropy, large deviations and statistical mechanics, Springer, Berlin-Heidelberg-New-York, 1985.

    Book  MATH  Google Scholar 

  6. 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.

    Article  MathSciNet  Google Scholar 

  7. Fortuin, (C.), Kastelyn, (P.), Ginibre, (J.)-Correlation inequalities on some partially ordered sets, Comm. Math. Phys., vol. 22, 1971, p.89–103.

    Article  MathSciNet  MATH  Google Scholar 

  8. 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.

    Article  MathSciNet  Google Scholar 

  9. Holley, (R.)-Remarks on the FKG inequalities, Comm. Math. Phys., vol. 36, 1974, p.227–231.

    Article  MathSciNet  Google Scholar 

  10. Kahane, (J.P.)-Une inégalité du type de Slepian et Gordon sur les processus gaussiens, Isr.J.Math., vol. 55, 1986, p.109–110.

    Article  MathSciNet  MATH  Google Scholar 

  11. Karlin, (S.), Rinott, (Y.)-Classes of ordering of measures and related correlation inequalities, J. Multivariate Anal., vol. 10, 1980, p.467–498.

    Article  MathSciNet  MATH  Google Scholar 

  12. Lebowitz, (J.L.)-GHS and other inequalities, Comm. Math. Phys., vol. 35, 1974, p.87–92.

    Article  MathSciNet  Google Scholar 

  13. Ligett, (T.M.)-Interacting particle systems, Springer, Berlin-Heidelberg-New-York, 1985.

    Book  Google Scholar 

  14. Preston, (C.J.)-A generalization of FKG inequalities, Comm. Math. Phys., vol. 36, 1974, p.233–240.

    Article  MathSciNet  Google Scholar 

  15. Prum, (B.)-Processus sur un réseau et mesures deGibbs, Masson, Paris, 1986.

    MATH  Google Scholar 

  16. Thomas, (L.E.)-Stochastic coupling and thermodynamic inequalities, Comm. Math. Phys., vol. 77, 1980, p.211–218.

    Article  MathSciNet  MATH  Google Scholar 

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Jacques Azéma Marc Yor Paul André Meyer

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© 1992 Springer-Verlag

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Bakry, D., Michel, D. (1992). Sur les inégalités FKG. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXVI. Lecture Notes in Mathematics, vol 1526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084321

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  • DOI: https://doi.org/10.1007/BFb0084321

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  • Print ISBN: 978-3-540-56021-0

  • Online ISBN: 978-3-540-47342-8

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