Measurement of ƒ(α) from scaling of histograms, and applications to dynamical systems and fully developed turbulence

Charles Meneveau; K. R. Sreenivasan

doi:10.1016/0375-9601(89)90093-5

Measurement of ƒ(α) from scaling of histograms, and applications to dynamical systems and fully developed turbulence

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

Abstract

A procedure for obtaining f{hook}(α) directly from the scaling of histograms of multifractal measures is presented, and is applied to several measures arising in dynamical systems and fully developed turbulence. The method works well when the scaling range is large, and useful statistical information on iso-α sets such as lacunarity can be obtained. However, if the available scaling range is small, corrections of second order become importance and bias the f{hook}(α) curve obtained directly.

Original language	English (US)
Pages (from-to)	103-112
Number of pages	10
Journal	Physics Letters A
Volume	137
Issue number	3
DOIs	https://doi.org/10.1016/0375-9601(89)90093-5
State	Published - May 8 1989

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/0375-9601(89)90093-5

Cite this

@article{a0cd996433594d79b04bb111b6127484,

title = "Measurement of ƒ(α) from scaling of histograms, and applications to dynamical systems and fully developed turbulence",

abstract = "A procedure for obtaining f{hook}(α) directly from the scaling of histograms of multifractal measures is presented, and is applied to several measures arising in dynamical systems and fully developed turbulence. The method works well when the scaling range is large, and useful statistical information on iso-α sets such as lacunarity can be obtained. However, if the available scaling range is small, corrections of second order become importance and bias the f{hook}(α) curve obtained directly.",

author = "Charles Meneveau and Sreenivasan, {K. R.}",

year = "1989",

month = may,

day = "8",

doi = "10.1016/0375-9601(89)90093-5",

language = "English (US)",

volume = "137",

pages = "103--112",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Measurement of ƒ(α) from scaling of histograms, and applications to dynamical systems and fully developed turbulence

AU - Meneveau, Charles

AU - Sreenivasan, K. R.

PY - 1989/5/8

Y1 - 1989/5/8

N2 - A procedure for obtaining f{hook}(α) directly from the scaling of histograms of multifractal measures is presented, and is applied to several measures arising in dynamical systems and fully developed turbulence. The method works well when the scaling range is large, and useful statistical information on iso-α sets such as lacunarity can be obtained. However, if the available scaling range is small, corrections of second order become importance and bias the f{hook}(α) curve obtained directly.

AB - A procedure for obtaining f{hook}(α) directly from the scaling of histograms of multifractal measures is presented, and is applied to several measures arising in dynamical systems and fully developed turbulence. The method works well when the scaling range is large, and useful statistical information on iso-α sets such as lacunarity can be obtained. However, if the available scaling range is small, corrections of second order become importance and bias the f{hook}(α) curve obtained directly.

UR - http://www.scopus.com/inward/record.url?scp=0001519106&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001519106&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(89)90093-5

DO - 10.1016/0375-9601(89)90093-5

M3 - Article

AN - SCOPUS:0001519106

SN - 0375-9601

VL - 137

SP - 103

EP - 112

JO - Physics Letters A

JF - Physics Letters A

IS - 3

ER -

Measurement of ƒ(α) from scaling of histograms, and applications to dynamical systems and fully developed turbulence

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this