Multifractals in physics: Successes, dangers and challenges

Amnon Aharony

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 1, 479-489

Abstract: The multifractal formalism for describing distributions of measures on sets which may be fractal is reviewed, with particular attention to random resistor networks, diffusion limited aggregates and mass fractals. The formalism has been very successful in describing crossover phenomena, but its use is somewhat dangerous due to problems with negative moments, with averaging procedures and with finite size effects.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:1:p:479-489

DOI: 10.1016/0378-4371(90)90400-M

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