The natural extension of the random beta-transformation

DOI10.1017/etds.2022.79OpenAlexW4283465726MaRDI QIDQ6068427

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Publication date: 15 December 2023

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2022.79

zbMATH Keywords

ergodic theorybeta expansionsBernoulli processes

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Random iteration (37H12)

Cites Work

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• On the invariant density of the random \(\beta\)-transformation
• Remarks on the isomorphism theorems for weak Bernoulli transformations in general case
• Invariant density functions of random -transformations
• β-automorphisms are Bernoulli shifts
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Random \beta-expansions
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems

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