Abstract
We introduce the notions of a Gibbs measure with the corresponding potential with association \(I\) (where \(I\) is a subset of the set \(\{ 1,2,...,k\} \)) 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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Rakhmatullaev, A.M., Rozikov, U.A. Gibbs Measures and Markov Random Fields with Association \(I \) . Mathematical Notes 72, 83–89 (2002). https://doi.org/10.1023/A:1019821222202
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DOI: https://doi.org/10.1023/A:1019821222202