Inégalités de corrélation sur { - 1 , 1 } n et dans ℝ n

Étienne Laroche

Annales de l'I.H.P. Probabilités et statistiques (1993)

  • Volume: 29, Issue: 4, page 531-567
  • ISSN: 0246-0203

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Laroche, Étienne. "Inégalités de corrélation sur $ \lbrace -1, 1 \rbrace ^n$ et dans $\mathbb {R}^n$." Annales de l'I.H.P. Probabilités et statistiques 29.4 (1993): 531-567. <http://eudml.org/doc/77469>.

@article{Laroche1993,
author = {Laroche, Étienne},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {correlation inequalities; statistical mechanics},
language = {fre},
number = {4},
pages = {531-567},
publisher = {Gauthier-Villars},
title = {Inégalités de corrélation sur $ \lbrace -1, 1 \rbrace ^n$ et dans $\mathbb \{R\}^n$},
url = {http://eudml.org/doc/77469},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Laroche, Étienne
TI - Inégalités de corrélation sur $ \lbrace -1, 1 \rbrace ^n$ et dans $\mathbb {R}^n$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1993
PB - Gauthier-Villars
VL - 29
IS - 4
SP - 531
EP - 567
LA - fre
KW - correlation inequalities; statistical mechanics
UR - http://eudml.org/doc/77469
ER -

References

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  1. [1] R.B. Griffiths, Correlations in Ising Ferromagnets I, II, J. of Math. Phys., vol. 8, 1967, p. 478-483; p. 484-489. 
  2. [2] D.G. Kelly et S. Sherman, General Griffiths' Inequalities on Correlations in Ising Ferromagnets, J. Math. Phys., vol. 9, 1968, p. 466-484. 
  3. [3] C. Fortuin, P. Kastelyn et J. Ginibre, Correlation Inequalities on some Partially Ordered Sets, Comm. in Math. Phys., vol. 22, 1971, p. 89-103. Zbl0346.06011MR309498
  4. [4] R.B. Griffiths, C.A. Hurst et S. Sherman, Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field, J. Math. Phys., vol. 11, 1970, p. 790-795. MR266507
  5. [5] J.L. Lebowitz, GHS and other Inequalities, Comm. Math. Phys., vol. 35, 1974, p. 87- 92. MR339738
  6. [6] R.S. Ellis, Entropy and large Deviations in Statistical Mechanics, Springer-Verlag. Zbl0566.60097
  7. [7] H.O. Georgii, Gibbs Measures and Phase Transitions, de Gruyter studies in mathematics. Zbl0657.60122MR956646
  8. [8] J. Glimm et A. Jaff, Quantum Physics: a Functional Integral Point of View, Springer-Verlag, 1981. Zbl0461.46051MR628000
  9. [9] B. Simon, B, The P(φ)2 Euclidian (Quantum) Field Theory, Princeton Series, in Physics, 1974. Zbl1175.81146MR489552
  10. [10] D. Bakry et D. Michel, Sur les inégalités FKG, Preprint. 
  11. [11] I. Herbst et L. Pitt, Diffusion Equation Technique in Stochastic Monotonicity and Positive Correlations, Prob. Th. Rel. Fields, vol. 87, 1991, p. 275-312. Zbl0688.60062MR1084331
  12. [12] L.D. Pitt, Positively Correlated Normal Variables are Associated, Ann. of Prob., vol. 10, 1982, p. 496-499. Zbl0482.62046MR665603
  13. [13] R.S. Ellis et C.M. Newman, Necessary and Sufficient Conditions for the GHS Inequality with Applications to Analysis and Probability, Trans. Am. Math. Soc., 1978, p. 237. Zbl0412.35084MR492131
  14. [14] M.L. Eaton, Lectures on Topics in Probability Inequalities, CWI Tract. Centrum voor Wiskunde in Informatica, 1987. Zbl0622.60024MR889671
  15. [15] J.D. Esary, F. Proschan et D.W. Walkup, Association of Random Variables with Applications, Ann. Math. Stat., vol. 38, 1967, p. 1466-1474. Zbl0183.21502MR217826

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