Dimension of hyperfractals

Jan Andres and Miroslav Rypka

Chaos, Solitons & Fractals, 2013, vol. 57, issue C, 146-154

Abstract: It is shown that multivalued fractals have the same address structure as the associated hyperfractals. Hyperfractals may be used to model self-similar diffusion limited aggregations, structure of urban settlements, and clusters of nanoparticles. We establish that the Hausdorff dimensions of a particular class of hyperfractals can be calculated by means of the Moran–Hutchinson formula.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:57:y:2013:i:c:p:146-154

DOI: 10.1016/j.chaos.2013.10.003

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