TY - JOUR
T1 - Multifractals in physics
T2 - Successes, dangers and challenges
AU - Aharony, Amnon
PY - 1990/9/1
Y1 - 1990/9/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001166215&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(90)90400-M
DO - 10.1016/0378-4371(90)90400-M
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AN - SCOPUS:0001166215
SN - 0378-4371
VL - 168
SP - 479
EP - 489
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -