Equilibrium measures of the natural extension of beta-shifts

2020/11/14 by C.-E. Pfister, Pfister, C. -E., Wayne G. Sullivan +1 · 1 citation
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2011.07259

Abstract

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 weak Gibbs measure.

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