Lacunarity of Random Fractals
Condensed Matter
2009-10-30 v1 adap-org
Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.cond-mat/9703051,
title = {Lacunarity of Random Fractals},
author = {Francisco J. Solis and Louis Tao},
journal= {arXiv preprint arXiv:cond-mat/9703051},
year = {2009}
}
Comments
11 pages, Latex, 2 PostScript figures, to be published in Physics Letters A