Identifies unique shift-invariant Gibbs states for continuous g, indicating significant insights into dynamics.
A sufficient condition for the Gibbs states of a shift-invariant specification on a one-dimensional lattice to be the g -chains for some continuous function g is obtained. This is then used to derive criteria under which there is a unique Gibbs state, which is also shift-invariant and Bernoulli.
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Paul Hulse (2026) studied this question.
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