[DOWNLOAD] "Scaling, Fractals and Wavelets" by Patrice Abry, Paolo Goncalves & Jacques Levy Vehel # eBook PDF Kindle ePub Free
eBook details
- Title: Scaling, Fractals and Wavelets
- Author : Patrice Abry, Paolo Goncalves & Jacques Levy Vehel
- Release Date : January 01, 2013
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 11043 KB
Description
Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling ? self-similarity, long-range dependence and multi-fractals ? are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.