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Regenerative Representation for One-Dimensional Gibbs States
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1986
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Combinatorics On WordInfinite ListsEngineeringGibbs MeasureEntropyIntegrable ProbabilityMarkov KernelProbability TheoryOne-dimensional Gibbs StatesFinite-state SystemRecurrent Markov ChainsLinguisticsGibbs States
It is shown that one-dimensional Gibbs states may be represented as concatenations of infinite lists of iid "words." It follows that Gibbs states inherit many properties of recurrent Markov chains on denumerable state spaces.