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The maximum entropy principle and the nature of fractals

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  • Pastor-Satorras, R
  • Wagensberg, J

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.

Suggested Citation

  • Pastor-Satorras, R & Wagensberg, J, 1998. "The maximum entropy principle and the nature of fractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(3), pages 291-302.
    • Handle: RePEc:eee:phsmap:v:251:y:1998:i:3:p:291-302
    DOI: 10.1016/S0378-4371(97)00571-2
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    References listed on IDEAS

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    1. Aharony, Amnon, 1990. "Multifractals in physics: Successes, dangers and challenges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 479-489.
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    Cited by:

    1. Santos, M.R.F. & Gomes, M.A.F., 2020. "A heuristic model for the scaling linguistic diversity-area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    2. Piasecki, R., 2000. "Entropic measure of spatial disorder for systems of finite-sized objects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 157-173.

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    More about this item

    Keywords

    Fractals; Statistics; MaxEnt;
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