Multifractality of space-filling bearings and Apollonian packings

DOI10.1007/BF01048305zbMath0923.58047OpenAlexW1971359490MaRDI QIDQ1279354

S. S. Manna, T. Vicseck

Publication date: 31 May 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048305

zbMATH Keywords

fractalsmultifractalsApollonian packingspace-filling bearing

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Applications of dynamical systems (37N99) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (4)

Stationary Apollonian packings ⋮ Multifractal Crossover in the Multiplicative Processes ⋮ SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS ⋮ CUTTING SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS

Cites Work

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• Dimensions and entropies in chaotic systems. Quantification of complex behavior. Proceedings of an International Workshop at the Pecos River Ranch, New Mexico, September 11-16, 1985
• Fractal measures and their singularities: The characterization of strange sets
• Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• The residual set dimension of the Apollonian packing

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