This paper introduces multifractal theory into the research of chaotic channels, and a novel model of chaotic channel is established from nonlinear science standpoint. By studying the relationship between multifractal dimensions and work environments, increments probability distribution, and statistical self-similarity of low power line communication (L-PLC) channel which is a typical chaotic c...

The traffic engineering of IP networks requires accurate characterization and modeling of network traffic, due to the growing diversity of multimedia applications and the need to efficiently support QoS differentiation in the network. In recent years several types of traffic behavior, that can have significant impact on network performance, were discovered: longrange dependence, self-similarity...

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...

Positive T -martingales were developed as a general framework that extends the positive measure-valued martingales and are meant to model intermittent turbulence. We extend their scope by allowing the martingale to take complex values. We focus on martingales constructed on the interval T = [0, 1], and replace random measures by random functions. We specify a large class of such martingales, on...

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...

the aim of this study was to identify various sulfidic mineralized zones in the ghare-tappeh cu deposit (nw iran) based on geo-electrical data including induced polarization (ip) and resistivity (rs) using the concentration-volume (c-v) and number-size (n-s) fractal models. the fractal models were used to separate high and moderate sulfidic zones from low sulfidic zones and barren wall rocks. b...