Author | Mandelbrot, Benoit B. author |
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Title | Multifractals and 1/ฦ Noise [electronic resource] : Wild Self-Affinity in Physics (1963-1976) / by Benoit B. Mandelbrot |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2150-0 |
Descript | VIII, 442 p. online resource |
Preface -- Panorama of grid-bound self affine variablity -- Sketches of prehistory and history -- Scaling, invariants and fixed points -- Filtering and specifications of self-affinity -- Short pieces -- New model for error clustering on telephone circuits -- Additional tests on clustering -- Self-similarity and conditional stationarity -- 1/f noises and the infrared catastrophe -- Co-indicator functions and related 1/f noises -- Sporadic random functions and conditional spectra: Self-similar examples and limits -- Random sets of multiplicity for trigonometric series -- Sporadic turbulence -- Intermittent free turbulence -- Lognormal hypothesis and distribution of energy dissipation in intermittent turbulence -- Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier -- Iterated random multiplications and invariance under randomly weighted averaging -- 'On certain martingales of Benoit Mandelbrot' -- Intermittent turbulence and fractal dimension: the kurtosis and the spectral exponent 5 3 + B -- Fractal dimension, dispersion, and singularities of fluid motion -- Elementary fractals and multifractals -- Bibliography -- Index