Unique equilibrium states for some intermediate beta transformations

2018/10/12 by Carapezza, Leonard, López, Marco, Robertson, Donald · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.05607

Abstract

We prove uniqueness of equilibrium states for subshifts corresponding to intermediate beta transformations with β> 2 having the property that the orbit of 0 is bounded away from 1.

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• Weak Gibbs measures for the natural extension of (1/β, β)-shifts
• Hausdorff dimension of specification for the (α,β)-shifts

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