Modeling of nature’s complexity is among the outstanding challenges we are faced with in the geophysical sciences. Although many ideas have been proposed throughout the years, the most common approaches, being based on notions related to chance, turn out to be insufficient to study, on an individual basis, the vast variety of patterns seen in nature. To this end, a novel deterministic fractal g...

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...

The purpose of this study is to identify the effect of Ordinary Kriging (OK) and Inverse Distance Weighted (IDW) estimation methods for the delineation of mineralized zones based on subsurface data using concentration–volume (C–V) multifractal modeling in the Dardevey iron ore deposit, NE Iran. Variograms and anisotropic ellipsoid were generated for the Fe distribution by the above estimation m...

observations over the globe. The modeling activities encompass diagnostic studies with a number of radiative transfer codes, particularly the Discrete Ordinate model of Stamnes et al. (1988) (DISORT), and the development of a highly flexible Monte Carlo model to compute the threedimensional (3-D) radiation field for any cloud (liquid water) distribution. In addition, a number of multifractal an...

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...

This work extends the notion of the widely mentioned and used fractional Brownian traffic model in the literature. Extensive experimental investigations indicate that the proposed traffic model, named extended fractional Brownian traffic, can capture not only the self-similar properties, but also the inherent multifractal characteristics of those traffic flows found in modern communication netw...

Publicly available long video traces encoded according to H.264/AVC were analyzed from the fractal and multifractal points of view. It was shown that such video traces, as compressed videos (H.261, H.263, and MPEG-4 Version 2) exhibit inherent longrange dependency, that is, fractal, property. Moreover they have high bit rate variability, particularly at higher compression ratios. Such signals m...

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...