Fractals in Engineering

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