On the distal and asymptotic sets for \(\beta\)-transformations

DOI10.1016/j.jmaa.2018.03.075zbMath1386.37011OpenAlexW2799933895MaRDI QIDQ1748299

Qianqian Yang, Yi-Chiuan Chen, Bing Li, Weibin Liu

Publication date: 9 May 2018

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.2018.03.075

zbMATH Keywords

Hausdorff dimension\(\beta\)-transformationdistal set

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (4)

THE DISTAL AND ASYMPTOTIC SETS FOR CONTINUED FRACTIONS ⋮ METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS ⋮ Winning property of distal set for β-transformations ⋮ BADLY APPROXIMABLE AND NONRECURRENT SETS FOR EXPANDING MARKOV MAPS

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