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

Charles Meneveau, K. R. Sreenivasan

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)103-112
Number of pages10
JournalPhysics Letters A
Volume137
Issue number3
DOIs
StatePublished - May 8 1989

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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