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arXiv · 2504.15750

Unique Bernoulli Gibbs states and g-measures

Paul Hulse
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Abstract

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. 2025-04-22. Unique Bernoulli Gibbs states and g-measures. https://arxiv.org/abs/2504.15750

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