Localized Birkhoff average in beta dynamical systems

DOI10.3934/DCDS.2013.33.2547zbMath1282.37009OpenAlexW2332563876MaRDI QIDQ1948816

Jun Wu, Jian Xu, Bo Tan, Bao-Wei Wang

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.2547

zbMATH Keywords

Hausdorff dimension\(\beta\)-expansionlocalized Birkhoff average

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodicity, mixing, rates of mixing (37A25) Fractals (28A80)

Related Items (5)

Hausdorff dimensions of some irregular sets associated with \(\beta\)-expansions ⋮ Localized growth speed of the digits in Engel expansions ⋮ Multifractal analysis of the divergence points of Birkhoff averages for \(\beta \)-transformations ⋮ Distributions of full and non-full words in beta-expansions ⋮ Hausdorff dimensions of level sets related to moving digit means

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