In this paper we propose a new multifractal traffic model for modern networks. This model is based on a new construction for multiplicative cascade. Our goal is to show that this model can capture the main characteristics (scaling function and the moment factor) of the multifractal process. We also derive analytical expression for the mean and variance of this process and its corresponding auto...

Since ten years, the multifractal analysis represents an original tool in signal and especially image processing. The multifractal methods in texture analysis are becoming efficient due to multifractal modelling and powerful methods in estimation of irregularities functions (exponent of Hölder) and multifractal spectrum. In this respect, we propose a multifractal approach for textural character...

Source traac streams as well as aggre-gated traac ows often exhibit long-range-dependent (LRD) properties. In this paper, we model each traac stream component through the multiplicative multi-fractal counting process traac model. We prove that the superposition of a nite number of multiplicative multifractal traac streams results in another multi-fractal stream. This property makes the multifra...

We introduce a class of multifractal processes, referred to as Multifractal Random Walks (MRWs). To our knowledge, it is the first multifractal processes with continuous dilation invariance properties and stationary increments. MRWs are very attractive alternative processes to classical cascade-like multifractal models since they do not involve any particular scale ratio. The MRWs are indexed b...

We consider the continuous model of log-infinitely divisible multifractal random measures (MRM) introduced in [1]. If M is a non degenerate multifractal measure with associated metric ρ(x, y) = M([x, y]) and structure function ζ , we show that we have the following relation between the (Euclidian) Hausdorff dimension dimH of a measurable set K and the Hausdorff dimension dimρH with respect to ρ...

We apply the 2D wavelet transform modulus maxima (WTMM) method to highresolution LANDSAT satellite images of cloudy scenes. The computation of the and multifractal spectra of the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. This analysis reveals that with the available set of experimental data, ther...

Second and third order longitudinal structure functions and wavenumber spectra of isotropic turbulence are computed using the EDQNM model and compared to results of the multifractal formalism. At the highest Reynolds number available in windtunnel experiments, Rλ = 2500, both the multifractal model and EDQNM give power-law corrections to the inertial range scaling of the velocity increment skew...

Citation: Attuel G, Gerasimova-Chechkina E, Argoul F, Yahia H and Arneodo A (2018) Multifractal Desynchronization of the Cardiac Excitable Cell Network During Atrial Fibrillation. I. Multifractal Analysis of Clinical Data. Front. Physiol. 8:1139. doi: 10.3389/fphys.2017.01139 Multifractal Desynchronization of the Cardiac Excitable Cell Network During Atrial Fibrillation. I. Multifractal Analysi...

We proposed a market simulation model (micro model) which displays multifractality and reproduces many important stylized facts of speculative markets. From this model we analytically extracted the MMAR model (Multifractal Model of Asset Returns)[3] for the macroscopic limit.