The Maximum Entropy principle and the nature of fractals

Details The Maximum Entropy principle and the nature of fractals The Maximum Entropy principle and the nature of fractals

1998-04-23

arxiv.org/abs/cond-mat/9804257v1

Physica A251 (1998) 291

Physics

Condensed Matter

Statistical Mechanics

7 pages, RevTex, includes 2 PS figures

Scientific paper

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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