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# Higher Order Multifractal Analysis

Abstract : We extend the multifractal analysis to the description of the distribution of the $n$-th order correlation of singularities. For this purpose, new multifractal spectra are defined, and some general relations between them are given. We finally perform explicitcomputations in the case of deterministic multinomial measures, and show that the multifractal formalism does not hold for correlations on this class of measures.
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Cited literature [2 references]

https://hal.inria.fr/inria-00073894
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Submitted on : Wednesday, May 24, 2006 - 2:01:06 PM
Last modification on : Friday, February 4, 2022 - 3:08:44 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:08:53 PM

### Identifiers

• HAL Id : inria-00073894, version 1

### Citation

Robert Vojak, Jacques Lévy Véhel. Higher Order Multifractal Analysis. [Research Report] RR-2796, INRIA. 1996. ⟨inria-00073894⟩

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