Tabella dei contenuti
Mathematical Aspects.- Theory and Applications of Fractal Tops.- Splines, Fractal Functions, and Besov and Triebel-Lizorkin Spaces.- Hölderian random functions.- Fractal Stationary Density in Coupled Maps.- Physics.- A Network of Fractal Force Chains and Their Effect in Granular Materials under Compression.- Percolation and permeability of three dimensional fracture networks with a power law size distribution.- Acoustic diffraction patterns from fractal to urban structures: applications to the Sierpinski triangle and to a neoclassical urban facade.- Turbulent ? — ? model of flute-like musical instrument sound production.- Chemical Engineering.- A simple discrete stochastic model for laser-induced jet-chemical etching.- Invariant structures and multifractal measures in 2d mixing systems.- Finance.- Long range dependence in financial markets.- Financial Modelling by Multiscale Fractional Brownian Motion.- Internet Traffic.- Limiting Fractal Random Processes in Heavy-Tailed Systems.- A non-parametric test for self-similarity and stationarity in network traffic.- Image Processing.- Continuous evolution of functions and measures toward fixed points of contraction mappings.- Various Mathematical Approaches to Extract Information from Textures of Increasing Complexities.- Fractal Inverse Problem: Approximation Formulation and Differential Methods.
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