This article is cited in 1 paper

Gibbs Measures and Markov Random Fields with Association $I$

A. M. Rakhmatullaev, U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: We introduce the notions of a Gibbs measure with the corresponding potential with association $I$ (where $I$ is a subset of the set $\{1,2,\dots ,k\}$) of a Markov random field with memory $I$ and measure with association $I$. It is proved that these three notions are equivalent.

UDC: 517.98+530.1

Received: 29.01.2001

DOI: 10.4213/mzm407

 English version: Mathematical Notes, 2002, 72:1, 83–89

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