Strong mixing subshift of finite type and Hausdorff measure of its chaotic set

DOI10.1007/s10114-011-9203-yzbMath1218.28003OpenAlexW2011851140MaRDI QIDQ546318

Zhi Hu, Hua Ming Wu, Wan Gan Song

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9203-y

zbMATH Keywords

Hausdorff measuresymbolic spacechaotic setfinite subshift

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Hausdorff and packing measures (28A78)

Cites Work

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• The Hausdorff measure of chaotic sets of adjoint shift maps
• Intersecting random translates of invariant Cantor sets
• Chaos caused by a strong-mixing measure-preserving transformation
• Hausdorff measure of sets of finite type of one-sided symbolic space
• Hausdorff dimension of a chaotic set of shift of a symbolic space
• Chaos for subshifts of finite type
• Period Three Implies Chaos

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