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This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.
Table of Contents
Statistical properties of DNA sequences Scale relativeity: many particle Schodinger equation A theory for the morphology of Iaplacian growth via statistics of equivalent many-body systems Fractal properties and scaling exponents of the Barkhausen effect Fractal properties of relaxation clusters and phase transition in a stochastic sandpile automaton Some experimental results in viscous fingering Object identification in greyscale imagery using fractal dimension A graphic tool to determine the period of an antenna component of the Mandelbrot set IFS based on 3D self-similar contraction mapping and modeling trees and coral Absorption equilibria in microporous materials: the role of fractality and of energetic heterogeneity Absorption spectra and photomodification of silver fractal clusters Similarity in the problem of discrete contact between fractal surfaces Fractal surfaces as self organization of microfractures Study of fractal properties in Lichtenberg figures Analysis of an image of the human brain obtained by positron emission tomography in terms of fractal geometry Qualitative analysis of human blood diseases using fractals Tumour shape and local connected fractal dimension analysis in oral cancer and pre-cancer Fractal growth of bacterial colonies Stochastic L-system applied to the calculation of the leaf area of a shrubby legume for forage The use of the fractral dimension in images for plant recognition Chemically-controlled reaction kinetics on fractals: application to proton exchange in proteins Application of the Lattice Boltzmann equation to transport and hydrodynamic phenomena in fractal and disordered media Multifractality of giant electric field fluctuations in semicontinuous films Fractal geometry of quantum paths and the fractal Wilson loop The 'smoothing dimensions' - a new fractal analysis method The temperature dependence of nanocluster interface morphology: a Monte-Carlo study Transition processes on noise-induced fractal sets Temporal scaling regions and capacity dimensions for microearthquake swarms in Greece Some remarks on phase transitions and their dissappearance in the description of multifractal sets Scale invariance in long-term time series A classification of writings based on fractal behaviour The solution to the inverse fractal problem with the help of wavelet decomposition Variogram and wavelet analysis of a cloud field advected by a baroclinic flow Interface roughening in magnetic systems with quenched disorder Flaring - a new type of dynamical behaviour
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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