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arXiv · cond-mat/9804257

The Maximum Entropy principle and the nature of fractals

R. Pastor-Satorras·J. Wagensberg
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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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BibTeXRIS

R. Pastor-Satorras, J. Wagensberg. 1998-04-23. The Maximum Entropy principle and the nature of fractals. https://doi.org/10.1016/s0378-4371(97)00571-2

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