On various multifractal spectra
Lévy Véhel, Jacques ; Tricot, Claude
HAL, inria-00559102 / Harvested from HAL
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 H¨older 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
Publié le : 2004-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{inria-00559102,
     author = {L\'evy V\'ehel, Jacques and Tricot, Claude},
     title = {On various multifractal spectra},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00559102}
}
Lévy Véhel, Jacques; Tricot, Claude. On various multifractal spectra. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/inria-00559102/