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March 1, 1973Bulletin of the London Mathematical Society216 citations

A Theorem about Random Fields

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GGGeoffrey Grimmett

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Abstract

Averintsev 1 and Spitzer 2 proved that the class of Markov fields is identical to the class of Gibbs ensembles when the domain is a finite subset of the cubic lattice and each site may be in either of two given states. Hammersley and Clifford 3 proved the same result for the more general case when the domain is the set of sites

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Geoffrey Grimmett (1973) studied this question.

synapsesocial.com/papers/69dcc70f7873f5f05b133db7https://doi.org/10.1112/blms/5.1.81
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