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 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