Abstract
The Fortuin-Kasteleyn random cluster representation ofq-state Potts models is used to extend to everyq two correlation inequalities proven previously only for even values ofq.
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References
J. De Coninck, A. Messager, S. Miracle-Sle, and J. Ruiz,J. Stat. Phys., this issue.
M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman,J. Stat. Phys. 50:1 (1988).
R. Edwards and A. Sokal, Generalization of the Fourtuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithms, Preprint (1987).
C. M. Fortuin and P. W. Kasteleyn,Physica 57:536 (1972).
P. W. Kasteleyn and C. M. Fortuin,J. Phys. Soc. Japan 26(Suppl.):11 (1969).
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Schonmann, R.H. On two correlation inequalities for Potts models. J Stat Phys 52, 61–67 (1988). https://doi.org/10.1007/BF01016404
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DOI: https://doi.org/10.1007/BF01016404