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The Hentschel-Procaccia Conjecture

J. L. McCauley

posted on 01 January 2000

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Extensive confusion exists and persists in the literature on dynamical systems theory, cosmology, and other fields over spectra of fractal dimensions. Entirely different generating functions have been treated as if they should yield identical spectra, or scaling exponents ... The two different definitions of 'multifractal' stated by Mandelbrot and by Halsey et are compared and contrasted...