论文信息 - On Various Multifractal Spectra

On Various Multifractal Spectra

We introduce two classes of multifractal spectra, called respectively dimension and continuous spectra. Dimension spectra offer an interesting alternative to the classical Hausdorff spectrum: They are much easier to estimate yet still give relevant information about the geometry of the Holder function. Continuous spectra are a generalization of the large deviation spectrum that allow to obtain partition free results. Both classes of spectra allow to perform efficient multifractal analysis in an experimental framework.

Jacques Lévy Véhel | Claude Tricot | J. L. Véhel | C. Tricot

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