Weak Gibbs and Equilibrium Measures for Shift Spaces

2019/01/30 by Pfister, C. -E., Sullivan, W. G. · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1901.11488

Abstract

For a large class of irreducible shift spaces X⊂\tA^\Zd, 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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