Multifractals in physics: Successes, dangers and challenges

Amnon Aharony

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

Multifractals in physics: Successes, dangers and challenges

Amnon Aharony

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

39 Scopus citations

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.

Original language	English
Pages (from-to)	479-489
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	168
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(90)90400-M
State	Published - 1 Sep 1990
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

Access to Document

10.1016/0378-4371(90)90400-M

Cite this

@article{f153d80a141a42dd9ef1324d65fa5ccc,

title = "Multifractals in physics: Successes, dangers and challenges",

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.",

author = "Amnon Aharony",

year = "1990",

month = sep,

day = "1",

doi = "10.1016/0378-4371(90)90400-M",

language = "English",

volume = "168",

pages = "479--489",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

number = "1",

}

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

M3 - Article

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 -

Multifractals in physics: Successes, dangers and challenges

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this