The work, described in this paper, covers three topics: real-world terrain analysis, synthetic terrain generation based upon the results of the analysis stage, and dynamic terrain generation. Each topic involves the theory of multifractals. First, a summary of four known fractal-based techniques for terrain generation is presented including fractional Brownian motion, Mid-point displacement, It...

This paper presents analysis of 30 literary texts written in English by different authors. For each text, there were created time series representing length of sentences in words and analyzed its fractal properties using two methods of multifractal analysis: MFDFA and WTMM. Both methods showed that there are texts which can be considered multifractal in this representation but a majority of tex...

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...

The search for more realistic modeling of financial time series reviews several stylized facts of real markets. In this work we focus on the multifractal properties found in price and index signals. Although the usual Minority Game (MG) models do not exhibit multifractality, we study here one of its variants that does. We show that the nonsynchronous MG models in the nonergodic phase is multifr...

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...