Unique Bernoulli Gibbs states and g-measures
Dynamical Systems
2025-04-23 v1
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.
Cite
@article{arxiv.2504.15750,
title = {Unique Bernoulli Gibbs states and g-measures},
author = {Paul Hulse},
journal= {arXiv preprint arXiv:2504.15750},
year = {2025}
}
Comments
16 pages, 0 figures