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arXiv · 1901.11488

Weak Gibbs and Equilibrium Measures for Shift Spaces

C. -E. Pfister·W. G. Sullivan
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Abstract

For a large class of irreducible shift spaces $X\subset\tA^{\Z^d}$, with $\tA$ a finite alphabet, and for absolutely summable potentials $Φ$, we prove that equilibrium measures for $Φ$ are weak Gibbs measures. In particular, for $d=1$, the result holds for irreducible sofic shifts.

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C. -E. Pfister, W. G. Sullivan. 2019-04-10. Weak Gibbs and Equilibrium Measures for Shift Spaces. https://arxiv.org/abs/1901.11488

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