this paper shows how multifractal analysis can be used to characterize the spatial distribution of epicenters in the zagros and alborz-kopeh dagh regions of iran. the main multifractal characteristics, dq, f(αq), τq, αq and a set of multifractal parameters defined from the shape of the f(αq)-spectrum including the width of f(αq)-spectrum, nonuniformity factor, combined parameter, coefficients o...

soil particle-size distribution (psd) is one of the most important physical attributes due to its great influence on soil physical, chemical, and biological properties. water infiltration rate, land-use change, soil erosion, and biological soil crusts (bscs) may influence psd in a soil. the multifractal measures were useful tools in characterization of psd in soils. the objective of the current...

We build a multifractal object and use it as a support to study perco-lation. We identify some differences between percolation in a multifractal and in a regular lattice. We use many samples of finite size lattices and draw the histogram of percolating lattices against site occupation probability. Depending on a parameter characterizing the multifractal and the lattice size, the histogram can h...

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...

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...

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...

This paper introduces a new class of fractal dimension measures which we call relative multifractal measures. The relative multifractal measures developed are formed through a melding of the Rényi dimension spectrum, which is based on the Rényi generalized entropy, and relative entropy as given with the Kullback-Leibler distance. This new class of multifractal measures is then used to find the ...

Source traac streams as well as aggregated traac ows often exhibit long-range-dependent (LRD) properties. In this work, we model traac streams using multi-plicative multifractal processes. We develop two type of models, the multifractal point processes and multifractal counting processes. We demonstrate our model to eeectively track the behavior exhibited by the system driven by the actual traf...

The multifractal characteristics of return signals from aircraft targets in conventional radars offer a fine description of dynamic characteristics which induce the targets’ echo structure; therefore they can provide a new way for aircraft target classification and recognition with low-resolution surveillance radars. On basis of introducing the mathematical model of return signals from aircraft...