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A family of nonisomorphic Markov random fields

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Abstract

It was recently shown that there exists a family of ℤ2 Markov random fields which areK but are not isomorphic to Bernoulli shifts [4]. In this paper we show that most distinct members of this family are not isomorphic. This implies that there is a two parameter family of ℤ2 Markov random fields of the same entropy, no two of which are isomorphic.

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  1. Department of Mathematics, University of Washington, 98195, Seattle, WA, USA

    Christopher Hoffman

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  1. Christopher Hoffman
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Correspondence to Christopher Hoffman.

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Hoffman, C. A family of nonisomorphic Markov random fields. Isr. J. Math. 142, 345–366 (2004). https://doi.org/10.1007/BF02771540

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  • DOI: https://doi.org/10.1007/BF02771540

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