Geodesic
Gibbs Measures and Markov Random Fields with Association $I$
Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 94-101

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We introduce the notions of a Gibbs measure with the corresponding potential with association $I$ (where $I$ is a subset of the set $\{1,2,\dots ,k\}$) of a Markov random field with memory $I$ and measure with association $I$. It is proved that these three notions are equivalent. 
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     author = {A. M. Rakhmatullaev and U. A. Rozikov},
     title = {Gibbs {Measures} and {Markov} {Random} {Fields} with {Association} $I$},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a8/}
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A. M. Rakhmatullaev; U. A. Rozikov. Gibbs Measures and Markov Random Fields with Association $I$. Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 94-101. http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a8/