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GHS and other inequalities

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Abstract

We use a transformation due to Percus to give a simple derivation of the Griffiths, Hurst, and Sherman, and some other new inequalities, for Ising ferromagnets with pair interactions. The proof makes use of the Griffiths, Kelly, and Sherman and the Fortuin, Kasteleyn, and Ginibre inequalities.

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References

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Authors and Affiliations

  1. Belfer Graduate School of Science, Yeshiva University, New York, N.Y., USA

    Joel L. Lebowitz

Authors
  1. Joel L. Lebowitz
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Additional information

Communicated by D. Ruelle

Work supported in part by USAFOSR-73-2430.

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Lebowitz, J.L. GHS and other inequalities. Commun.Math. Phys. 35, 87–92 (1974). https://doi.org/10.1007/BF01646608

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  • DOI: https://doi.org/10.1007/BF01646608

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