scientific article

zbMath0771.58028MaRDI QIDQ4015794

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Publication date: 23 November 1992

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1992__56_4_415_0

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zbMATH Keywords

invariant setsdynamical systemsCantor setHausdorff dimensionfractal dimensionCantorus

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Hausdorff and packing measures (28A78)

Cites Work

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• Ergodic theory of differentiable dynamical systems
• Rigorous diffusion properties for the sawtooth map
• Ergodic properties of the discontinuous sawtooth map
• Expansiveness, hyperbolicity and Hausdorff dimension
• Hyperbolic sets for twist maps
• Rotation interval from a time series

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