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Abry, Patrice

Scaling, Fractals and Wavelets

Abry, Patrice - Scaling, Fractals and Wavelets, ebook

194,90€

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ISBN: 9781118622902
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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.

Author(s)
 
 
Publisher
John Wiley and Sons, Inc.
Publication year
2008
Language
en
Edition
1
Page amount
464 pages
Category
Technology, Energy, Traffic
Format
Ebook
eISBN (ePUB)
9781118622902
Printed ISBN
9781848210721

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