Abstract
Since the concept of a multifractal (or multiscale fractal) has been introduced within the theory of fully developed fluid turbulence [10,4,12,13] it has found widespread applications in the description of fractal geometry in nature [9,2]. In physics multifractals emerged also in the study of chaotic dynamics, disordered systems, critical phenomena and pattern growth [5,14,15]. Whereas in homogeneous fractals the scaling laws of quantities like density of points in boxes of D dimensional space or phase space and probability distributions are characterized by a single exponent, or dimension D 0 < D, a continuous range for such exponents is necessary to describe multifractals. Generalized dimensions D q defined for real q enter the stage [6].
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Lang, W. (1998). A Fibonacci-Fractal: A Bicolored Self-Similar Multifractal. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5020-0_26
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DOI: https://doi.org/10.1007/978-94-011-5020-0_26
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