A class of compact group extensions of \(\beta \)-transformations

DOI10.1016/j.jmaa.2010.08.076zbMath1242.37004OpenAlexW1988509750MaRDI QIDQ624567

Young-Ho Ahn

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.076

zbMATH Keywords

central limit theoremskew product\(\beta \)-transformationscompact group extension

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

• Absolutely continuous cocycles over irrational rotations
• Spectral types of unitary operators arising from irrational rotations on the circle group
• Computational ergodic theory
• \(\beta\)-expansions and symbolic dynamics
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Shift endomorphisms and compact Lie extensions
• Ergodic properties of a class of skew-systems obtained by coupling the translation of the 1-torus with the endomorphism 2x mod (0,1(
• Mod 2 normal numbers and skew products
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