August 1, 1973

Generalized Gibbs states and Markov random fields

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Abstract

It is shown that the set of Markov random fields and Gibbs states with nearest neighbour potentials are the same for any finite graph. The set of Markov random fields is also shown to be the same as the equilibrium states of time-reversible birth/death processes with nearest neighbour interactions defined on the graph.

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Cite This Study

C.J. Preston (Wed,) studied this question.

synapsesocial.com/papers/6a16b744b082e78ad77b8341 https://doi.org/https://doi.org/10.2307/1426035

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