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.
- ISBN13 9781498741361
- Publish Date 27 March 2020 (first published 5 December 2019)
- Publish Status Active
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint CRC Press
- Format eBook
- Pages 194
- Language English