Lacunarity of Random Fractals

Details Lacunarity of Random Fractals Lacunarity of Random Fractals

1997-03-05

arxiv.org/abs/cond-mat/9703051v1

Physics

Condensed Matter

11 pages, Latex, 2 PostScript figures, to be published in Physics Letters A

Scientific paper

10.1016/S0375-9601(97)00150-3

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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