Abstract
A Griffiths correlation inequality for Ising ferromagnets is refined and is used to obtain improved upper bounds for critical temperatures. It is shown that, for non-negative external fields, the mean field magnetization is an upper bound for the magnetization of Ising ferromagnets.
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On leave (1970–71) from Northwestern University, Evanston, Illinois 60201. Supported at IAS by a grant from the Alfred P. Sloan Foundation.
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Thompson, C.J. Upper bounds for Ising model correlation functions. Commun.Math. Phys. 24, 61–66 (1971). https://doi.org/10.1007/BF01907034
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DOI: https://doi.org/10.1007/BF01907034