DIMENSION THEORY OF LINEAR SOLENOIDS

DOI10.1142/S0218348X07003423zbMath1141.37007arXiv1807.04857MaRDI QIDQ3510240

Jörg Neunhäuserer

Publication date: 2 July 2008

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04857

zbMATH Keywords

fractal attractormeasures of full dimensionsolenoid-like dynamical systems

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Fractal attractors induced by \(\beta\)-shifts

Cites Work

• Number theoretical peculiarities in the dimension theory of dynamical systems.
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Ergodic theory on compact spaces
• Dimension and product structure of hyperbolic measures
• The Hausdorff dimension of the Smale-Williams solenoid with different contraction coefficients
• Dimension, entropy and Lyapunov exponents
• Dimension and invertibility of hyperbolic endomorphisms with singularities

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