Multifractals and 1/F Noise: Wild Self-Affinity in Physics (1963-1976) - Hardcover

Mandelbrot, Benoit B.

Hardcover

ISBN 10: 0387985395 ISBN 13: 9780387985398

Publisher: Springer-Verlag New York Inc., 1999

Synopsis

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.

About this title

Synopsis

Certain noises, many aspects of turbulence, and almost all aspects of finance exhibit a level of temporal and spatial variability whose "wildness" impressed itself vividly upon the author, Benoit Mandelbrot, in the early 1960's. He soon realized that those phenomena cannot be described by simply adapting the statistical techniques of earlier physics, or even extending those techniques slightly. It appeared that the study of finance and turbulence could not move forward without the recognition that those phenomena represented a new second stage of indeterminism. Altogether new mathematical tools were needed. The papers in this Selecta volume reflect that realization and the work that Dr. Mandelbrot did toward the development of those new tools.

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1999
• Language: English
• ISBN 10: 0387985395
• ISBN 13: 9780387985398
• Binding: Hardcover
• Number of pages: 442