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Fractals in Engineering: New Trends in Theory and Applications

Contributor(s): Lévy-Véhel, Jacques (Editor), Lutton, Evelyne (Editor)

ISBN: 9781849965507

Publisher: Springer

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Pub Date: October 13, 2010

Dewey: 006.3

Lexile Code: 0000

Features: Maps

Target Age Group: NA to NA

Physical Info: 0.65" H x 9.21" L x 6.14" W ( 0.96 lbs) 290 pages

Descriptions, Reviews, etc.

Description: Part 1: Mathematical Aspects.- Theory and Applications of Fractal Tops.- Splines, Fractal Functions, and Besov and Triebel-Lizorkin Spaces.- Hoelderian Random Functions.- Fractal Stationary Density in Coupled Maps.- Part 2: 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 k - epsilon model of flute-like musical instrument sound production.- Part 3: Chemical Engineering.- A Simple Discrete Stochastic Model for Laser-induced Jet-chemical Etching.- Invariant Structures and Multifractal Measures in 2d Mixing Systems.- Part 4: Finance.- Long Range Dependence in Financial Markets.- Financial Modelling by Multiscale Fractional Brownian Motion.- Part 5: Internet Traffic.- Limiting Fractal Random Processes in Heavy-tailed Systems.- A Non-parametric Test for Self-similarity and Stationarity in Network Traffic.- Part 6: 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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