most citedWeak Gibbs and Equilibrium Measures for Shift Spaces

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math.DS2020

Equilibrium measures of the natural extension of beta-shifts

C. -E. Pfister, W. G. Sullivan

We give a necessary and sufficient condition on beta of the natural extension of a beta-shift, so that any equilibrium measure for a function of bounded total oscillations is a wea…

math.DS2019★ 1 cited

Weak Gibbs and Equilibrium Measures for Shift Spaces

C. -E. Pfister, W. G. Sullivan

For a large class of irreducible shift spaces $X\subset\tA^{\Z^d}$, with $\tA$ a finite alphabet, and for absolutely summable potentials , we prove that equilibrium measures for…