Negative dimensions: Theory, computation, and experiment

Ashvin B. Chhabra, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

Negative dimensions in probabilistic fractal measures are analyzed using the concept of level-independent multiplier distributions. By suitably manipulating these distributions we compute the positive and negative parts of the f() function. It is demonstrated that the multiplier method extracts the f() function with exponentially less work, and that it is more accurate than conventional box-counting methods. The utility of this method is demonstrated by applying it to a binary cascade with a triangular multiplier distribution and the dissipation field of fully developed turbulence.

Original languageEnglish (US)
Pages (from-to)1114-1117
Number of pages4
JournalPhysical Review A
Volume43
Issue number2
DOIs
StatePublished - 1991

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multipliers
boxes
fractals
counting
cascades
dissipation
turbulence

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Negative dimensions : Theory, computation, and experiment. / Chhabra, Ashvin B.; Sreenivasan, K. R.

In: Physical Review A, Vol. 43, No. 2, 1991, p. 1114-1117.

Research output: Contribution to journalArticle

Chhabra, Ashvin B. ; Sreenivasan, K. R. / Negative dimensions : Theory, computation, and experiment. In: Physical Review A. 1991 ; Vol. 43, No. 2. pp. 1114-1117.
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