Communications in Mathematical Physics

, Volume 66, Issue 2, pp 167–179 | Cite as

Extremal Λ-inequalities for Ising models with pair interactions

  • P. W. Kasteleyn
  • R. J. Boel


The inequalities for spin correlation functions of ferromagnetic Ising models with pair interactions derived in a previous paper are studied in more detail. It is shown that each of these inequalities is a positive linear combination of a finite number of “extremal” inequalities, which can in principle be determined and of which a number of examples is given.


Neural Network Statistical Physic Linear Combination Correlation Function Complex System 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • P. W. Kasteleyn
    • 1
  • R. J. Boel
    • 1
  1. 1.Instituut-Lorentz voor Theoretische NatuurkundeRijksuniversiteit LeidenLeidenThe Netherlands

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