On Hausdorff Dimension of Invariant Sets for a Class of Piecewise Linear Maps

DOI10.1007/978-3-319-24747-2_5zbMath1337.37022OpenAlexW2341019578MaRDI QIDQ2799936

Yiming Ding, Hui Hu, Yueli Yu

Publication date: 14 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-24747-2_5

zbMATH Keywords

invariant setpiecewise linear mapHausdorff dimension

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability
• Symbolic Dynamics and Transformations of the Unit Interval
• Topological invariants and renormalization of Lorenz maps

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