TY - JOUR
T1 - Measuring multifractals
AU - Aharony, Amnon
N1 - Funding Information:
Many of the results discussed here arose from collaborations with R. Blumenfeld. Y. Meir and A.B. Hams. The support of the Israel Academy of Sciences and of the US-Israel Binational Science Foundation is also gratefully acknowledged.
PY - 1989/9
Y1 - 1989/9
N2 - Differences between typical and average moments of a multifractal distribution are discussed. Negative moments are often nominated by exponentially small terms, which lead to a breakdown of multifractal scaling. Particular attention is given to the current distribution on percolating resistor networks and to the growth probabilities in diffusion-limited aggregation.
AB - Differences between typical and average moments of a multifractal distribution are discussed. Negative moments are often nominated by exponentially small terms, which lead to a breakdown of multifractal scaling. Particular attention is given to the current distribution on percolating resistor networks and to the growth probabilities in diffusion-limited aggregation.
UR - http://www.scopus.com/inward/record.url?scp=45349112567&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(89)90165-6
DO - 10.1016/0167-2789(89)90165-6
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AN - SCOPUS:45349112567
SN - 0167-2789
VL - 38
SP - 1
EP - 4
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-3
ER -