Multifractals and 1/ƒ Noise: Wild Self-Affinity in Physics (1963–1976) by Benoit B. Mandelbrot (PDF)

Description

Mandelbrot is a world renowned scientist, known for his pioneering research in fractal geometry and chaos theory. In this volume, Mandelbrot defends the view that multifractals are intimately interrelated through the two fractal themes of “wildness” and “self-affinity”. This link involves a powerful collection of technical tools, which are of use to diverse scientific communities. Among the topics covered are: 1/f noise, fractal dimension and turbulence, sporadic random functions, and a new model for error clustering on telephone circuits.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I went and asked K. G. Monks for help. Even with his direction I only got a bad approximation.He was using a conformal maps of circles, not a Kleinian group…The rest of the book is less readable than that. It is a collection of Dr. Mandelbrot’sold articles. I interviewed Dr. Mandelbrot several years ago before a lecture of hisat U. C. Riverside. He is not a very friendly or communicative man. Hisarticles in general are very hard to read and without adequate history and definitions.It is , thus, incredible that his original book was such a success. Looking athis work, I would call him a “noise” specialist and not a fractalist at all.This book is really a book about very hard parts of noise theory.In my mind Dr. Mandelbrot is very wrong in many of his conclusions ,but he has some very nice results here. Don’twaste your money if you don’t have a graduate degree in mathematics with a specialization in noise, chaos and dynamics. Most of his recentarticles have been on multifractals applied to stock market theory.He is one of the great men of our age and these articles are his feet of clay.If you want a book on fractals,try one of his other booksthat are for a wider market.This one is for most people “white noise”.This one puts you to sleep…

⭐M. is a great man in (large) part because of what he has written, including these papers. And yes they are challenging. I find them nearly self-contained though.

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