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Book synopsis

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.

Book details

Book category Books in English Computing & information technology Computer science Signal processing

• Full title: Scaling, Fractals and Wavelets
• Author: Patrice Abry
• Language: English
• Binding: Hardback
• Number of pages: 504
• EAN: 9781848210721
• ISBN: 1848210728
• ID: 05103536
• Publisher: ISTE Ltd and John Wiley & Sons Inc
• Weight: 862 g
• Dimensions: 234 × 162 × 34 mm
• Date of publishing: 06. January 2009

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