| Scaling, Fractals and Wavelets Contributor(s): Abry, Patrice (Editor), Goncalves, Paolo (Editor), Vehel, Jacques Levy (Editor) |
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ISBN: 1848210728 ISBN-13: 9781848210721 Publisher: Wiley-Iste OUR PRICE: $261.20 Product Type: Hardcover - Other Formats Published: December 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Electrical - Technology & Engineering | Telecommunications - Mathematics | Numerical Analysis |
| Dewey: 621.382 |
| LCCN: 2007025119 |
| Series: Iste |
| Physical Information: 464 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
