Scaling, Fractals and Wavelets (Iste Ser.)
By: and and
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- Synopsis
- 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.
- Copyright:
- 2008
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781118622902
- Related ISBNs:
- 9780470611562, 9781848210721
- Publisher:
- Wiley
- Date of Addition:
- 12/14/19
- Copyrighted By:
- ISTE Ltd
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
- Edited by:
- Patrice Abry
- Edited by:
- Paolo Goncalves
- Edited by:
- Jacques Levy Vehel
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