The Hausdorff dimension of the support of the Erdös measure and symbolic dynamics

DOI10.1007/S10883-013-9195-2zbMath1285.28007OpenAlexW2082568393MaRDI QIDQ2441457

Z. I. Bezhaeva, Valery I. Oseledets

Publication date: 24 March 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9195-2

zbMATH Keywords

entropyHausdorff dimensionPisot numberErdős measuredeterministic automatonsofic set

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Symbolic dynamics (37B10) Hausdorff and packing measures (28A78)

Cites Work

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• 𝛽-expansions with deleted digits for Pisot numbers 𝛽
• On the Morphology of γ-Expansions with Deleted Digits
• The Hausdorff Dimension of λ-Expansions with Deleted Digits

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