The Maximum Entropy principle and the nature of fractals
R. Pastor-Satorras, J. Wagensberg
Abstract
We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns. This constraint allows for a new statistical characterization of fractal objects and fractal dimension.
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