On numbers, probability and dimensions.

DOI10.1016/0960-0779(96)00036-7zbMath1080.11503OpenAlexW2104534324MaRDI QIDQ815561

Mohamed Saladin El Naschie

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(96)00036-7

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Miscellaneous applications of number theory (11Z05)

Related Items (4)

A new class of scale free solutions to linear ordinary differential equations and the universality of the golden mean \((\sqrt 5-1)/2=0.618033\dots \) ⋮ The fine structure of strong disconnectedness properties ⋮ Time arrows over ground fields of an uneven characteristic ⋮ Correlation in \(\mathcal E^{(\infty)}\).

Cites Work

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• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Banach-Tarski theorem and Cantorian micro space-time
• Is quantum space a random Cantor set with a golden mean dimension at the core?
• On certain ``empty Cantor sets and their dimensions
• Space-filling curves
• Dimensions and Cantor spectra

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