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Equilibrium measures of the natural extension of
$\boldsymbol{\beta}$-shifts
Published online by Cambridge University Press: 04 May 2021
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.
MSC classification
- Type
- Original Article
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original work is properly cited.
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
References
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