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portada Scaling, Fractals and Wavelets
Scaling, Fractals and WaveletsScaling, Fractals and WaveletsScaling, Fractals and WaveletsScaling, Fractals and Wavelets
Type
Physical Book
Publisher
Author
Language
English
Pages
464
Format
Hardcover
ISBN
1848210728
ISBN13
9781848210721
Categories

Scaling, Fractals and Wavelets

Abry, Patrice ; Goncalves, Paolo ; Vehel, Jacques Levy (Author) · Wiley-Iste · Hardcover

Scaling, Fractals and Wavelets - Abry, Patrice ; Goncalves, Paolo ; Vehel, Jacques Levy

New Book Imported to Taiwan
Delivery: 04 Aug - 13 Aug Shipping: 13 to 15 business days.
NT$ 9,750
NT$ 9,750

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Synopsis "Scaling, Fractals and Wavelets"

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.

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