ON HAUSDORFF DIMENSION AND TOPOLOGICAL ENTROPY

DOI10.1142/S0218348X10004956zbMath1206.28008MaRDI QIDQ3070452

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Publication date: 3 February 2011

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensiontopological entropycondition Acompact systemdimension metric

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (3)

Mathematical models for the effects of hypertension and stress on kidney and their uncertainty ⋮ Topological entropy of free semigroup actions for noncompact sets ⋮ Pesin topological entropy of nonautonomous dynamical systems

Cites Work

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• Some relations between Hausdorff-dimensions and entropies
• On Bowen's definition of topological entropy
• Global multifractal relation between topological entropies and fractal dimensions
• Expansiveness, hyperbolicity and Hausdorff dimension
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Existence of full-Hausdorff-dimension invariant measures of dynamical systems with dimension metrics
• The Hausdorff dimension of recurrent sets in symbolic spaces
• Dimension, entropy and Lyapunov exponents
• On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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