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arXiv · cond-mat/9703051

Lacunarity of Random Fractals

Francisco J. Solis·Louis Tao
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Abstract

We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity specturm that consists of the usual spectrum of mulitfractal dimensions and the associated complex analogs. Furthermore, non-universal properties are recovered from the study of a series of functions which are generalizations of the so-called energy intergral.

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Francisco J. Solis, Louis Tao. 1997-03-05. Lacunarity of Random Fractals. https://doi.org/10.1016/s0375-9601(97)00150-3

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