The authors investigate effective bandwidth estimation and Quality of Service (QoS) aware bandwidth provisioning for multifractal network traffic flows. They develop a novel adaptive wavelet-based multifractal model (AWMM) by using properties of the wavelet coefficients of multifractal cascade processes. The proposed AWMM has real-time updating capability and proves to be efficient in capturing...

Both multifractal and monofractal scaling of structure function exponents are observed in the turbulent magnetic fluctuations of the Swarthmore Spheromak Experiment plasma. Structure function and probability distribution function (PDF) analysis exhibits multifractal scaling exponents in low frequency, inertial range fluctuations of the turbulence but monofractal scaling in higher frequency, dis...

In this paper, we analyze the queueing performance in terms of loss rate of an OFDM (orthogonal frequency-division multiplexing)/TDMA (time division multiplexing access) based wireless system taking into account the multifractal behavior of the wireless traffic flows. To this end, first, we show evidences of multifractal characteristics on wireless traffic traces. These findings motivated us to...

Understanding neuronal firing patterns is one of the most important problems in theoretical neuroscience. It is also very important for clinical neurosurgery. In this Letter, we introduce a computational procedure to examine whether neuronal firing recordings could be characterized by cascade multiplicative multifractals. By analyzing raw recording data as well as generated spike train data fro...

In this paper, we develop a new multiscale modeling framework for characterizing positive-valued data with long-range-dependent correlations. Using the Haar wavelet transform and a special multiplicative structure on the wavelet coeecients to ensure non-negative results, the model provides a rapid O(N) algorithm for synthesizing N-point data sets. We study the second-order and mul-tifractal pro...

The coupling of hydrological distributed models to numerical weather prediction outputs is an important issue for hydrological applications such as forecasting of flood events. Downscaling meteorological predictions to the hydrological scales requires the resolution of two fundamental issues regarding precipitation, namely, (1) understanding the statistical properties and scaling laws of rainfa...

a yield–soil–topography analysis. Spectral analysis was utilized by Timlin et al. (1998) to study the influence of Quantifying the spatial variability of crop yields and yield-affecting topographic location and surface curvature on corn factors are important issues in precision agriculture. Topography is frequently one of the most important factors affecting yields, and grain yield based on dat...

We study the multifractal properties of diffusion in the presence of an absorbing polymer and report the numerical values of the multifractal dimension spectra for the case of an absorbing self avoiding walk or random walk.

There has been a growing interest in constructing stationary measures with known multifractal properties. In an earlier paper, the authors introduced the multifractal products of stochastic processes MPSP and provided basic properties concerning convergence, nondegeneracy, and scaling of moments. This paper considers a subclass of MPSP which is determined by jump processes with i.i.d. exponenti...

2014 We have calculated numerically the current distribution of a two-dimensional Josephson junction network in a magnetic field. At the percolation threshold and in the approximation of linear junctions this distribution is multifractal. We have also considered the lowest order nonlinear corrections to the diamagnetic susceptibility. This correction scales with one of the exponents of the mult...