Equilibrium measures of the natural extension of $\boldsymbol{\beta}$ -shifts
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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| Veröffentlicht in: | Ergodic theory and dynamical systems 2022-07, Vol.42 (7), p.2415-2430 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0143-3857 1469-4417 |
| DOI: | 10.1017/etds.2021.38 |