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Fractal Dynamics [PDF]

open access: yesPhysica Scripta, 1989
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
openaire   +1 more source

Modern Paradigm Regarding Capital Markets: Fractal Market Hypothesis. Determination of the Hurst Exponent on the Romanian Capital Market

open access: yesEIRP Proceedings, 2022
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  

Surface Cracking and Fractal Characteristics of Bending Fractured Polypropylene Fiber-Reinforced Geopolymer Mortar

open access: yesFractal and Fractional, 2021
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
doaj   +1 more source

A Semi-Empirical Model to Estimate Maximum Floc Size in a Turbulent Flow

open access: yesMolecules, 2022
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
doaj   +1 more source

Dimensions, Maximal Growth Sites and Optimization in the Dielectric Breakdown Model [PDF]

open access: yes, 2008
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
core   +1 more source

A transfer matrix method for the analysis of fractal quantum potentials

open access: yes, 2004
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
core   +1 more source

Chaotic motion in multi-black hole spacetimes and holographic screens [PDF]

open access: yes, 2006
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
core   +2 more sources

Transition from fractal to non-fractal scalings in growing scale-free networks

open access: yes, 2008
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
core   +2 more sources

Fractal-Based Hybrid Cryptosystem: Enhancing Image Encryption with RSA, Homomorphic Encryption, and Chaotic Maps

open access: yesEntropy, 2023
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
doaj   +1 more source

Multi-fractal analysis of weighted networks [PDF]

open access: yes, 2014
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
core  

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