The maximum entropy principle and the nature of fractals

R Pastor-Satorras and J Wagensberg

Physica A: Statistical Mechanics and its Applications, 1998, vol. 251, issue 3, 291-302

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.

Keywords: Fractals; Statistics; MaxEnt (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:251:y:1998:i:3:p:291-302

DOI: 10.1016/S0378-4371(97)00571-2

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