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The Hausdorff measure of chaotic sets of adjoint shift maps

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Publication:943278
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DOI10.1016/j.chaos.2005.08.140zbMath1142.28304OpenAlexW2008932433MaRDI QIDQ943278

Song Wangan, Wang Huoyun

Publication date: 9 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.140



Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)


Related Items

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



Cites Work

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  • A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
  • A Chaotic Function with Some Extremal Properties
  • A Chaotic Function Possessing a Scrambled Set with Positive Lebesgue Measure
  • Period Three Implies Chaos
  • Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
  • Separation Properties for Self-Similar Sets
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