Wavelet Leaders in Multifractal Analysis

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p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis (2015, methodology): “, [19, 32, 26, 56, 21]) show that correct multiresolution quantities associated with the Hölder exponent are the oscillations O(a, x) = sup u,v∈B(x,a) |X(u)−X(v)|.”
Area and width functions of river networks: New results on multifractal properties (2007, methodology): “It is also noted that a new MF formalism, relying on a well-defined mathematical basis and based on the so-called wavelet leaders (defined from the discrete wavelet transform [Mallat, 1998]) has been recently introduced in order to overcome this difficulty [ Jaffard et al., 2005; Lashermes, 2005; B”
Fractal and multifractal analysis: A review (2009, methodology): “This formalism was theoretically proven by Jaffard et al. (2005) and then developed in 1D by Lashermes et al. (2005) for applications in fully developed turbulence.”
Intermittent process analysis with scattering moments (2013, result): “It gives comparable results with the log-covariance estimator, which was optimized for this problem [5], and which is also closely related to the wavelet leaders estimator of [20].”