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Multifractal approach to inhomogeneous fractals

✍ Scribed by Frank Jestczemski; Manfred Sernetz

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 409 KB
Volume: 223
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(95)00365-7

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✦ Synopsis

Vicsek et al. have shown that DLA can be described as a geometrical multifractal by defining the mass Mi within box i normalized to the object's total mass M0 as the measure Izi = Mi/Mo. This measure shows its multifractal property by the dependence of the generalized dimensions Dq on q. Recently, we have shown that the arterial blood vessels, which are fat fractals, are also geometrically multifractal. We have examined the origin of multifractality of thin and fat ffactals and give a new classification of thin and fat monofractals and mulfifractals.

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