Artificiality of multifractal phase transitions

Details Artificiality of multifractal phase transitions Artificiality of multifractal phase transitions

1999-11-02

arxiv.org/abs/chao-dyn/9911007v1

Nonlinear Sciences

Chaotic Dynamics

8 Pages, including 2 figures

Scientific paper

10.1016/S0375-9601(00)00061-X

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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