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Artificiality of multifractal phase transitions
Journal article   Peer reviewed

Artificiality of multifractal phase transitions

Martin Wolf, Jürgen Schmiegel and Martin Greiner
Physics letters. A, Vol.266(4-6), pp.276-281
28/02/2000

Abstract

Fully developed turbulence Multifractals Multiplicative branching processes Multivariate correlation densities Phase transition
A multifractal phase transition is associated to a nonanalyticity in the generalised dimensions. We show that its occurrence is an artifact of the asymptotic scaling behaviour of integral moments and that it is not observed in an analysis based on differential n-point correlation densities.

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