{"product_id":"scaling-fractals-and-wavelets","title":"Scaling, Fractals and Wavelets","description":"\u003cp\u003eScaling 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.\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":54254315667800,"sku":"9781848210721","price":262.82,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781848210721_1327e70f-cbdc-4fb8-8d38-03a83eafcd82.jpg?v=1780025442","url":"https:\/\/agendabookshop.com\/products\/scaling-fractals-and-wavelets","provider":"Agenda Bookshop","version":"1.0","type":"link"}