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Corpus ID: 119330293

Weak Gibbs and Equilibrium Measures for Shift Spaces

@article{Pfister2019WeakGA,
title={Weak Gibbs and Equilibrium Measures for Shift Spaces},
author={C. E. Pfister and Wayne G. Sullivan},
journal={arXiv: Dynamical Systems},
year={2019}
}

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

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