Scaling, Fractals and Wavelets (eBook, ePUB)
eBook, ePUB

Scaling, Fractals and Wavelets (eBook, ePUB)

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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 prescribe...

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