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On K-automorphisms, Bernoulli shifts and Markov random fields
Published online by Cambridge University Press: 17 April 2001
Abstract
We show that for translation invariant Markov random fields: (1) the K-property implies a trivial full tail; (2) the Bernoulli property implies Følner independence. The existence of bilaterally deterministic Bernoulli shifts tells us that neither result is true without the Markov assumption (even in one dimension). We also show that for general translation invariant random fields: (3) Følner independence implies a trivial full tail.
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- Research Article
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- 1997 Cambridge University Press
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