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Gaussian Self-Affinity and Fractals: Globality, the Earth, 1/F Noise, and R/S

Gaussian Self-Affinity and Fractals: Globality, the Earth, 1/F Noise, and R/S Hard cover - 2001

by Benoit B. Mandelbrot

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A premier scientist in the field of fractal geometry focuses on a detailed study of fraction Brownian motions and presents the fractal themes of "self-affinity" and "globality." The book includes extensive introductory material and presents a number of striking new observations and conjectures. 50 illus.

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Hard Cover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Gaussian Self-Affinity and Fractals: Globality, the Earth, 1/F Noise, and R/S.
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From the publisher

Benoit Mandelbrot s pioneering research in fractal geometry has affected many areas of mathematics, physics, finance and other disciplines. The papers reprinted in this third volume of his Selected Works center on a detailed study of fractional Brownian functions, best known as the mathematical tools behind the celebrated fractal landscapes. Extensive introductory material preceding the reprints incorporates striking new observations and conjectures. This book explores the fractal themes of self-affinity and globality. The ubiquity of wild temporal and spatial variability led Mandelbrot, in the early 1960 s, to conclude that those phenomena lie beyond the usual statistical techniques and represent a new state of indeterminism. New mathematical tools are needed, and this book contributes to their development.

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THE PRECEDING PREFACE HANDLES ISSUES specific to this volume.