Multifractals in physics: Successes, dangers and challenges

Amnon Aharony*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


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.

Original languageEnglish
Pages (from-to)479-489
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - 1 Sep 1990


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