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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.
Pages
464 pages
Collection
n.c
Parution
2013-03-01
Marque
Wiley-ISTE
EAN papier
9781848210721
EAN PDF
9780470394229

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
464
Taille du fichier
5140 Ko
Prix
253,15 €
EAN EPUB
9781118622902

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
464
Taille du fichier
9042 Ko
Prix
253,15 €

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