Publications [#372259] of Sayan Mukherjee

Books

1. Banerjee, S; Hassan, MK; Mukherjee, S; Gowrisankar, A, Fractal Patterns in Nonlinear Dynamics and Applications (January, 2020), pp. 1-194, ISBN 9781498741354 [doi]
   (last updated on 2025/02/21)

   Abstract:
   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.