Unique Bernoulli Gibbs states and g-measures

2025/04/22 by P. Hulse, Hulse, Paul
Physics and Astronomy · #37A60 (Primary) 37A50 #60G10 #82B26 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2504.15750

openalex publication_date 2025/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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