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Scaling, Fractals and Wavelets

Paolo Goncalves editor Patrice Abry editor Jacques Levy Vehel editor

Format:Hardback

Publisher:ISTE Ltd and John Wiley & Sons Inc

Published:6th Jan '09

Currently unavailable, and unfortunately no date known when it will be back

Scaling, Fractals and Wavelets cover

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.

ISBN: 9781848210721

Dimensions: 236mm x 152mm x 33mm

Weight: 862g

464 pages