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Results from the Holsztynski-Slawny reduction method for ferromagnetic Ising models

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Abstract

We establish a variety of results using the Holsztynski-Slawny reduction method to study various ferromagnetic, Ising spin systems. The results range from a new proof of the lack of a first-order phase transition for certain infinite range, pair interaction, one-dimensional systems to a study of certain three-dimensional systems having many-body interactions.

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Monroe, J.L. Results from the Holsztynski-Slawny reduction method for ferromagnetic Ising models. J Stat Phys 51, 195–203 (1988). https://doi.org/10.1007/BF01015326

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