On the equality of Hausdorff and box counting dimensions

DOI10.1063/1.165970zbMath1055.28501arXivchao-dyn/9303007OpenAlexW2067825990WikidataQ73464328 ScholiaQ73464328MaRDI QIDQ4526277

Ronnie Mainieri

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9303007

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Fractals (28A80) Hausdorff and packing measures (28A78) Dynamical systems over complex numbers (37F99)

Related Items (3)

Fractal dimension modeling of seismology and earthquakes dynamics ⋮ Lacunarity of random fractals. ⋮ Optimizing the Adaptive Fast Multipole Method for Fractal Sets

Cites Work

• Unnamed Item
• Some characterizations of strange sets
• Is the dimension of chaotic attractors invariant under coordinate changes?
• A remark on Dobrushin's uniqueness theorem
• The transition to aperiodic behavior in turbulent systems
• Presentation functions, fixed points, and a theory of scaling function dynamics.
• Fractal measures and their singularities: The characterization of strange sets
• Presentation functions and scaling function theory for circle maps

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