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Fractals in Engineering: New Trends in Theory and Applications
Paperback
Technology & EngineeringChemistryGeneral Computers
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ISBN10: 1849965501
ISBN13: 9781849965507
Publisher: Springer Nature
Published: Oct 13 2010
Pages: 290
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9781849965507
Publisher: Springer Nature
Published: Oct 13 2010
Pages: 290
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
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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