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arXiv · 2202.06802

Gibbs measures on compact ultra metric spaces

C. -E. Pfister
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Abstract

One proves the equivalence of a Gibbs measure and a Gibbs conformal measure for a dynamical system (G,X) when G is a countably infinite discrete group acting expansively on a compact ultrametric space X. As an application one proves for any beta-shift, that the unique equilibrium measure for a function of summable variation is a Gibbs measure.

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C. -E. Pfister. 2022-02-14. Gibbs measures on compact ultra metric spaces. https://arxiv.org/abs/2202.06802

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