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An overview is given of the known relations between various dynamical properties of fractal structure, such as vibration density, diffusion and electrical resistivity. Examples are given from the family of walk-generated fractals: SAW with and without bridges, k-tolerant walks and randorn walks.
Dekeyser, Raf +3 more
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Classical statistical and econometric theory, intended to provide functional forecasting models in capital markets, is the mathematical foundation for a number of theories - efficient market theory, Harry Markowitz's optimized portfolio theory, the ...
Ana-Maria Metescu
doaj
Fiber is effective in restricting cracks and improving the toughness of geopolymer composites, but few studies have focused on the surface crack characteristics of fiber-reinforced geopolymer composites.
Li Li, Hai-Xin Sun, Yang Zhang, Bo Yu
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A Semi-Empirical Model to Estimate Maximum Floc Size in a Turbulent Flow
The basic model for agglomerate breakage under the effect of hydrodynamic stress (dmax = C.G−γ) is only applicable for low velocity gradients (
Mohamed Bizi
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Dimensions, Maximal Growth Sites and Optimization in the Dielectric Breakdown Model [PDF]
We study the growth of fractal clusters in the Dielectric Breakdown Model (DBM) by means of iterated conformal mappings. In particular we investigate the fractal dimension and the maximal growth site (measured by the Hoelder exponent $\alpha_{min}$) as a
Bakke, Jan Oystein Haavig +2 more
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A transfer matrix method for the analysis of fractal quantum potentials
The scattering properties of quantum particles on fractal potentials at different stages of fractal growth are obtained by means of the transfer matrix method.
Chuprikov N L +16 more
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Chaotic motion in multi-black hole spacetimes and holographic screens [PDF]
We investigate the geodesic motion in $D-$dimensional Majumdar-Papapetrou multi-black hole spacetimes and find that the qualitative features of the D=4 case are shared by the higher dimensional configurations. The motion of timelike and null particles is
Bousso R. +5 more
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Transition from fractal to non-fractal scalings in growing scale-free networks
Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter $q$.
A. Fronczak +30 more
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Protecting digital data, especially digital images, from unauthorized access and malicious activities is crucial in today’s digital era. This paper introduces a novel approach to enhance image encryption by combining the strengths of the RSA algorithm ...
Dani Elias Mfungo, Xianping Fu
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Multi-fractal analysis of weighted networks [PDF]
In many real complex networks, the fractal and self-similarity properties have been found. The fractal dimension is a useful method to describe fractal property of complex networks.
Chen, Xiaowu +5 more
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