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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.
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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