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Multifractals and 1/f noise : wild self-affinity in physics (1963-1976) : selecta volume N

Author: Benoit B Mandelbrot
Publisher: New York : Springer, ©1999.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Mandelbrot, Benoit B.
Multifractals and 1/f noise.
New York : Springer, ©1999
(OCoLC)624019297
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Benoit B Mandelbrot
ISBN: 0387985395 9780387985398
OCLC Number: 38924459
Description: viii, 442 pages : illustrations ; 25 cm
Contents: I. Introductions and Short Pieces --
1. Panorama of grid-bound self-affine variability --
2. Sketches of prehistory and history --
3. Scaling, invariants and fixed points --
4. Filtering and specifications of self-affinity --
5. Short excerpts --
II. Unifractal Errors and Levy Dusts --
6. New model for error clustering on telephone circuits --
7. Self-similarity and conditional stationarity --
III. Intermittent 1/f Noises and Conditioned Random Processes --
8. 1/f noises and the infrared catastrophe --
9. Co-indicator functions and related 1/f noises --
10. Sporadic random functions and conditional spectra self-similar examples and limits --
11. Random sets of multiplicity for trigonometric series --
IV. Turbulence and Multifractal Measures --
12. Sporadic turbulence --
13. Intermittent free turbulence --
14. Lognormal hypothesis and distribution of energy dissipation in intermittent turbulence --
15. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier --
16. Iterated random multiplications and invariance under randomly weighted averaging --
17. "On certain martingales of Benoit Mandelbrot": Guest contribution --
18. Intermittent turbulence and fractal dimension: the kurtosis and the spectral exponent 5/3 + B --
19. Fractal dimension, dispersion, and singularities of fluid motion.
Responsibility: Benoit B. Mandelbrot ; with contributions by J.M. Berger [and others].

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