The maximum entropy principle and the nature of fractals
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hdl:2117/126420
Document typeArticle
Defense date1998-06-19
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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.
CitationPastor-Satorras, R., Wagensberg, J. The maximum entropy principle and the nature of fractals. "Physica A: statistical mechanics and its applications", 19 Juny 1998, vol. 251, núm. 3-4, p. 291-302.
ISSN0378-4371
Publisher versionhttps://www-sciencedirect-com.recursos.biblioteca.upc.edu/science/article/pii/S0378437197005712
Other identifiershttps://arxiv.org/abs/cond-mat/9804257
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