Unique Bernoulli Gibbs states and g-measures
arXiv:2504.15750
Abstract
A sufficient condition for the Gibbs states of a shift-invariant specification on a one-dimensional lattice to be the -chains for some continuous function is obtained. This is then used to derive criteria under which there is a unique Gibbs state, which is also shift-invariant and Bernoulli.
16 pages, 0 figures