Measuring multifractals

Amnon Aharony

doi:10.1016/0167-2789(89)90165-6

Measuring multifractals

Amnon Aharony

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1-4
Number of pages	4
Journal	Physica D: Nonlinear Phenomena
Volume	38
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(89)90165-6
State	Published - 1 Jan 1989
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(89)90165-6

Cite this

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title = "Measuring multifractals",

abstract = "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.",

author = "Amnon Aharony",

note = "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.",

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PY - 1989/1/1

Y1 - 1989/1/1

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 - https://www.scopus.com/pages/publications/45349112567

U2 - 10.1016/0167-2789(89)90165-6

DO - 10.1016/0167-2789(89)90165-6

M3 - Article

AN - SCOPUS:45349112567

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-3

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Measuring multifractals

Abstract

ASJC Scopus subject areas

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