A CONSTRUCTION OF THE SCRAMBLED SET WITH FULL HAUSDORFF DIMENSION FOR BETA-TRANSFORMATIONS

DOI10.1142/S0218348X18500056zbMath1432.28008OpenAlexW2788615786MaRDI QIDQ5219654

Meihua Li, Weibin Liu, Cheng Huang, Shuai Ling Wang

Publication date: 12 March 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x18500056

zbMATH Keywords

chaosHausdorff dimensionfractalsfractalscrambled setbeta-transformations

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

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MEAN LI–YORKE CHAOTIC SET WITH FULL HAUSDORFF DIMENSION FOR CONTINUED FRACTIONS, Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for \(\beta\)-transformation, A construction of multiply Xiong chaotic set with full topological entropy for \(\beta\)-transformation

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