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Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their role in the dimensional analysis. For the first time, fractals emphasizing mostly on stochastic fractal, and multifractals which evolves with time instead of scale-free self-similarity, are discussed. Moreover, it looks at power laws and dynamic scaling laws in some detail and provides an overview of modern statistical tools for calculating fractal dimension and multifractal spectrum.
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Book DetailsISBN: 9781498741354
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Dr. Santo Banerjee is an associate professor in the Institute for Mathematical Research at the Univerisy Putra Malaysia. Dr. Sayan Mukherjee is an assistant professor in the Department of Mathematics at Sivanath Sastri College.
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