The Maximum Entropy principle and the nature of fractals
arXiv:cond-mat/9804257 · doi:10.1016/S0378-4371(97)00571-2
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.
arXiv comment7 pages, RevTex, includes 2 PS figures