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General formulation of Griffiths' inequalities

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Abstract

We present a general framework in which Griffiths inequalities on the correlations of ferromagnetic spin systems appear as natural consequences of general assumptions. We give a method for the construction of a large class of models satisfying the basic assumptions. Special cases include the Ising model with arbitrary spins, and the plane rotator model. The general theory extends in a straightforward way to the non-commutative (quantum) case, but non-commutative examples satisfying all the assumptions are lacking at the moment.

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Ginibre, J. General formulation of Griffiths' inequalities. Commun.Math. Phys. 16, 310–328 (1970). https://doi.org/10.1007/BF01646537

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  • DOI: https://doi.org/10.1007/BF01646537

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