The structure of a Cantor-like set with overlap

DOI10.1016/j.chaos.2005.01.011zbMath1075.37539OpenAlexW2063995950MaRDI QIDQ2484910

Lixin Tian, Meifeng Dai

Publication date: 3 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.01.011

zbMATH Keywords

chaotic dynamicsCantor setsself-similar setsfractal geometrygeometry for space-timequantum and particle physics

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Fractals (28A80)

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2-D Shallow Water Wave Equations with Fuzzy Parameters ⋮ On the convergence and numerical computation of two-dimensional fuzzy Volterra-Fredholm integral equation by the homotopy perturbation method ⋮ The local dimension of Moran measures satisfying the strong separation condition

Cites Work

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• Multifractal measures and a weak separation condition
• Superstrings, knots, and noncommutative geometry in \({\mathcal E}^{(\infty)}\) space
• Projecting the one-dimensional Sierpiński gasket
• A class of self-similar fractals with overlap structure
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• Weak separation properties for self-similar sets
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
• Separation Properties for Self-Similar Sets

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