Communications in Mathematical Physics

, Volume 35, Issue 2, pp 87–92 | Cite as

GHS and other inequalities

  • Joel L. Lebowitz


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Kelly 
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Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Joel L. Lebowitz
    • 1
  1. 1.Belfer Graduate School of ScienceYeshiva UniversityNew YorkUSA

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