54 citations · 137 across the 19 of their papers we have counts for
3 papers · 1 filter
Multifractal analysis of the Brjuno function
Stéphane Jaffard, Bruno Martin
We determine the -exponent (according to the Calderón-Zygmund definition) of the Brjuno function everywhere, thus showing that it is a new example of multifractal function.…
p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis
Roberto Leonarduzzi, Herwig Wendt, Patrice Abry +4
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their local regularity along time or space, which capture crucial features of their tempo…
Multifractal analysis based on p-exponents and lacunarity exponents
Patrice Abry, Stéphane Jaffard, Roberto Leonarduzzi +2
Many examples of signals and images cannot be modeled by locally bounded functions, so that the standard multifractal analysis, based on the Hölder exponent, is not feasible. We pr…