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Correlation inequalities on some partially ordered sets |
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| Authors: | C. M. Fortuin P. W. Kasteleyn J. Ginibre |
| Affiliation: | (1) Instituut-Lorentz, Rijksuniversiteit te Leiden, Leiden, Nederland;(2) Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud (Laboratorie associé au Centre National de la Recherche Scientifique), Orsay, France |
| Abstract: | We prove that increasing function on a finite distributive lattice are positively correlated by positive measures satisfying a suitable convexity property. Applications to Ising ferromagnets in an arbitrary magnetic field and to the random cluster model are given. |
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